chapter 7 resource masters -...
TRANSCRIPT
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Teacher’s Guide to UsingChapter 7 Resources ..............................................iv
Chapter 7 Graphic Organizer ....................................... 1Student Glossary .............................................................. 2Family Letter .................................................................... 4Family Letter Spanish .... ..................... ...........................5Chapter 7 Anticipation Guide ...................................... 6Chapter 7 Game .............................................................. 7
Lesson 7-1 Multiples of 10, 100, and 1,000Reteach ....................................................................... 8Skills Practice ........................................................... .9Homework Practice ...............................................10Problem-Solving Practice ....................................11Enrich .........................................................................12
Lesson 7-2 Problem-Solving Skill: Reasonable Answers Reteach .....................................................................13Skills Practice ..........................................................15Homework Practice ...............................................16 Enrich .........................................................................17
Lesson 7-3 Use Rounding to Estimate ProductsReteach .....................................................................18Skills Practice ..........................................................19Homework Practice ...............................................20Problem-Solving Practice ....................................21Enrich .........................................................................22
Lesson 7-4 Multiply Two-Digit NumbersReteach .....................................................................23Skills Practice ..........................................................24Homework Practice ...............................................25Problem-Solving Practice ....................................26Enrich .........................................................................27
Lesson 7-5 Problem-Solving Investigation: Choose a StrategyReteach .....................................................................28Skills Practice ..........................................................30Homework Practice ...............................................31Enrich .........................................................................32
Lesson 7-6 Multiply Multi–Digit Numbers Reteach .....................................................................33Skills Practice ..........................................................34Homework Practice ...............................................35Problem-Solving Practice ....................................36Enrich .........................................................................37
Lesson 7-7 Multiply Across Zeros Reteach .....................................................................38Skills Practice ..........................................................39Homework Practice ...............................................40Problem-Solving Practice ....................................41Enrich .........................................................................42
Individual Progress Checklist .....................................43
Chapter Tests:Chapter Diagnostic Assessment ...............................44Chapter Pretest ..............................................................45Quiz 1 ................................................................................46Quiz 2 ................................................................................47Quiz 3 ..............................................................................48Mid-Chapter Review .....................................................49Vocabulary Test ..............................................................50Oral Assessment ............................................................51Chapter Project Rubric .................................................53Foldables Rubric ............................................................54Test Form 1 .....................................................................55Test Form 2A ...................................................................57Test Form 2B ...................................................................59Test Form 2C ...................................................................61Test Form 2D ..................................................................63Test Form 3 .....................................................................65Extended-Response Test .............................................67
Recording Sheet ..........................................................68
Cumulative Standardized Test Practice ...........69
Answer Pages ...............................................................A1
Grade 4 Chapter 7Table of Contents
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Teacher’s Guide to Using the Chapter 7 Resource Masters
The Chapter 7 Resource Masters includes the core materials needed for Chapter 7. These materials include worksheets, extensions, and assessment options. The answers for these pages appear at the back of this booklet.
All of the materials found in this booklet are included for viewing and printing on the TeacherWorks PlusTM CD-ROM.
Chapter ResourcesGraphic Organizer (page 1) This master is a tool designed to assist students with comprehension of grade-level concepts. You can use this graphic organizer in coordination with the appropriate lesson. While the content and layout of these tools vary, their goal is to assist students by providing a visual representation from which they can learn new concepts.
Student Glossary (page 2) This master is a study tool that presents the key vocabulary terms from the chapter. You may suggest that students highlight or star the terms they do not understand. Give this list to students before beginning Lesson 7-1. Remind them to add these pages to their mathematics study notebooks.
Anticipation Guide (page 6) This master is a survey designed for use before beginning the chapter. You can use this survey to highlight what students may or may not know about the concepts in the chapter. If feasible, interview students in small groups, asking them the interview questions in the guide. There is space for recording how well students answer the questions before they complete the chapter. You may find it helpful to interview students a second time, after completing the chapter, to determine their progress.
Game (page 7) A game is provided to reinforce chapter concepts and may be used at appropriate times throughout the chapter.
Resources for LessonsReteach Each lesson has an associated Reteach worksheet. In general, the Reteach worksheet focuses on the same lesson content but uses a different approach, learning style,
or modality than that used in the Student Edition. The Reteach worksheet closes with computational practice of the concept.
Skills Practice The Skills Practice worksheet for each lesson focuses on the computational aspect of the lesson. The Skills Practice worksheet may be helpful in providing additional practice of the skill taught in the lesson. It also contains word problems that cover the skill. Spaces for students’ answers are provided on the worksheet.
Homework Practice The Homework Practice worksheet provides an opportunity for additional computational practice. The Homework Practice worksheet includes word problems that address the skill taught in the lesson. Spaces for students’ answers are provided on the worksheet.
Problem-Solving Practice The Problem-Solving Practice worksheet presents additional reinforcement in solving word problems that apply both the concepts of the lesson and some review concepts.
Enrich The Enrich worksheet presents activities that extend the concepts of the lesson or offer a historical or multicultural look at the lesson’s concepts. Some Enrich materials are designed to widen students’ perspectives on the mathematics they are learning.
Resources for Problem-Solving Lessons In recognition of the importance of problem-solving strategies, worksheets for problem-solving lessons follow a slightly different format. For problem-solving lessons, a two-page Reteach worksheet offers a complete model for choosing a problem-solving strategy. For each Problem-Solving Strategy lesson, Reteach and Homework
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Practice worksheets offer reinforcement of the strategy taught in the Student Edition lesson. In contrast, the Problem-Solving Investigation worksheets include a model strategy on the Reteach worksheets and provide problems requiring several alternate strategies on practice worksheets.
Assessment OptionsThe assessment masters in the Chapter 7 Resource Masters offer a wide variety of assessment tools for monitoring progress as well as final assessment.
Individual Progress Checklist This checklist explains the chapter’s goals or objectives. Teachers can record whether a student’s mastery of each objective is beginning (B), developing (D), or mastered (M). The checklist includes space to record notes to parents as well as other pertinent observations.
Chapter Diagnostic Assessment This one-page test assesses students’ grasp of skills that are needed for success in the chapter.
Chapter Pretest This one-page quick check of the chapter’s concepts is useful for determining pacing. Performance on the pretest can help you determine which concepts can be covered quickly and which specific concepts may need additional time.
Mid-Chapter Review This one-page chapter test provides an option to assess the first half of the chapter. It includes both multiple-choice and free-response questions.
Quizzes Three free-response quizzes offer quick assessment opportunities at appropriate intervals in the chapter.
Vocabulary Test This one-page test focuses on chapter vocabulary. It is suitable for all students. It includes a list of vocabulary words and questions to assess students’ knowledge of the words.
Oral Assessment This two-page test consists of one page for teacher directions and questions and a second page for recording responses. Although this assessment is designed to be used with all students, the interview format focuses on assessing chapter content assimilated by ELL students. The variety of
approaches includes solving problems using manipulatives as well as pencil and paper.
Chapter Project Rubric This one-page rubric is designed for use in assessing the chapter project. You may want to distribute copies of the rubric when you assign the project and use the rubric to record each student’s chapter project score.
Foldables Rubric This one-page rubric is designed to assess the Foldables graphic organizer. The rubric is written to the students, telling them what you will be looking for as you evaluate their completed Foldables graphic organizer.
Leveled Chapter Tests• Form 1 assesses basic chapter concepts
through multiple-choice questions and is designed for use with on-level students.
• Form 2A is designed for on-level students and is primarily for those who may have missed the Form 1 test. It may be used as a retest for students who received additional instruction following the Form 1 test.
• Form 2B is designed for students with a below-level command of the English language.
• Form 2C is a free-response test designed for on-level students.
• Form 2D is written for students with a below-level command of the English language.
• Form 3 is a free-response test written for above-level students.
• Extended-Response Test is an extended response test for on-level students.
Student Recording Sheet This one-page recording sheet is for the standardized test in the Student Edition.
Cumulative Standardized Test Practice This three-page test, aimed at on-level students, offers multiple-choice questions and free-response questions.
AnswersThe answers for the Anticipation Guide and Lesson Resources are provided as reduced pages with answers appearing in black. Full size line-up answer keys are provided for the Assessment Masters.
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Grade 4 1 Chapter 7
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Graphic Organizer7
Fill in the table.
×10 ×100 ×1000
8
6
4
2
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Grade 4 2 Chapter 7
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Student-Built Glossary
This is an alphabetical list of new vocabulary terms you will learn in Chapter 7: Multiplying One-Digit Numbers. As you study the chapter, complete each term’s definition or description. Remember to add the page number where you found the term. Add this page to your math study notebook to review vocabulary at the end of the chapter.
Vocabulary TermFound
on PageDefinition/Description/Example
addition
division
estimate
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Grade 4 3 Chapter 7
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7
multiplication
product
subtraction
whole number
Student-Built Glossary (continued)
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Grade 4 4 Chapter 7Grade 4 4 Chapter 7
Dear Family, Today my class started Chapter 7: Multiply by One-Digit Numbers. I will be learning to multiply multiples of 10, 100, and 1,000. I will also be learning to estimate products by rounding. Here are my vocabulary words and an activity that we can do together. Love, ______________________
The Rajah’s Rice by David Barry
The King’s Chessboard by David Birch
Amanda Bean’s Amazing Dreamby Cindy Neuschwander
Books to Read
Key Vocabulary
addition An operation on two or more addends that is equal to a sum. 4 + 4 = 8.
division An operation on two numbers in which the first number is split into equal groups. Each group has a size equal to the second number.
estimate A number close to an exact value; an estimate indicates about how much. An estimate for $4.99 is $5.
multiplication An operation on two numbers to find their product. It can be thought of as repeated addition. 5 × 5 = 25.
product The answer to a multiplication problem. It also refers to expressing a number as a product of its factors. 4 × 3 = 12.
product
Collect 10 dimes, 20 nickels, and
30 pennies. If you multiplied each
total number by 10, how many of
each coin would you have?
Activity
subtraction An operation on two numbers that tells the difference, when some or all are taken away. 7 - 3 = 4.
whole number The numbers 0, 1, 2, 3, 4 . . .
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Grade 4 5 Chapter 7Grade 4 5 Chapter 7
Estimada familia: Hoy mi clase comenzó el Capítulo 7: Multiplica por números de un dígito. Aprenderé a multiplicar por múltiplos de 10, 100 y, 1000 y también a estimar productos por redondeo. A continuación, están mis palabras de vocabulario y una actividad que podemos hacer juntos Cariños, ________________
The Rajah’s Rice de David BarryThe King’s Chessboard de David BirchAmanda Bean’s Amazing Dream de Cindy Neuschwander
Libros recomendados
Vocabulario clave
adición Operación en dos o más sumandos que resulta en una suma. 4 + 4 = 8
división Operación de dos números en la cuál el primer número está dividido en grupos iguales. Cada grupo tiene un tamaño igual al segundo número.
estimación Número cercano a un valor exacto. Una estimación indica aproximadamente cuánto. Una estimación para $4.99 es $5.
multiplicación Operación en dos números para calcular su producto. También se puede interpretar como una adición repetida. 5 × 5 = 25
producto Repuesta de un problema de multiplicación. También se refiere a la expresión de un número como el producto de sus factores. 4 × 3 = 12
producto
Reúnan 10 monedas de 10¢, 20
monedas de 5¢, y 30 monedas de
1¢. Si multiplicaran cada número
total por 10, ¿cuántas de cada
moneda tendrías?
Actividad
sustracción Operación en dos números que indica la diferencia, cuando algunos o todos son eliminados. 7 – 3 = 4
número entero Los números 0, 1, 2, 3, 4 . . .
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Grade 4 6 Chapter 7
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Before you begin Chapter 7
• Read each statement. • Decide whether you agree (A) or disagree (D) with the statement. • Write A or D in the first column OR if you are not sure whether you agree or
disagree, write NS (not sure).
Anticipation GuideMultiply by One-Digit Numbers
STEP 1
STEP 2 After you complete Chapter 7
• Reread each statement and complete the last column by entering an A (agree) or a D (disagree).
• Did any of your opinions about the statements change from the first column?
• For those statements that you mark with a D, use a separate sheet of paper to explain why you disagree. Use examples, if possible.
STEP 1A, D, or NS
StatementSTEP 2A or D
1. Knowing basic facts and number patterns can help you to multiply mentally.
2. 2 × 2,000 = 4,000
3. 5 × 10,000 = 50,000
4. 3 × 900 = 7,200
5. Using partial products can help you to multiply multi-digit numbers.
6. When multiplying by a four-digit number, you should multiply the ones, then the tens, then the hundreds, and finally the thousands, and then add them all together.
7. Using estimation, 5 × $3,300 is about $15,000 (5 × $3,000).
8. Using estimation, 4 × 6,700 is about 28,000 (4 × 7,000).
9. You multiply multi-digit numbers the same way that you multiply a two-digit number by a one-digit number.
10. 7 × 20 > 6 × 90
7Name Date
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Grade 4 7 Chapter 7
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7Chapter 7 Game
Product plus!
You will need: 3 number cubes
Paper and pencil
Clear some space, clear your mind, and get ready to roll!
1. Roll the cubes.
2. Use the cubes to create a 2-digit times 1-digit multiplication problem.
3. Have each player record his or her problem and find the product.
4. Roll the cubes again.
5. Create a problem and add the product to the product from the first roll.
6. Continue to roll and add the products. The winner is the first player whose sum reaches 1,000.
32 6
41 5
65 2
63
2524×
147
399252+
21
1477×
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Grade 4 8 Chapter 7
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ReteachMultiples of 10, 100, and 1,000
Multiply each number below by 10 by adding a zeroto the end of the number.
1. 2 × 10 = 2. 3 × 10 =
Multiply each number below by 100 by adding two zerosto the end of the number.
3. 7 × 100 = 4. 1 × 100 =
Multiply each number below by 1,000 by adding three zerosto the end of the number.
5. 6 × 1,000 = 6. 9 × 1,000 =
Multiply. Use basic facts and patterns.
7. 3 × 5 = 15
3 × 50 = 150
3 × 500 =
3 × 5,000 = 15,000
8. 5 × 2 =
5 × 20 = 100
5 × 200 = 1,000
5 × 2,000 =
7–1
9. 4 × 2 = 8
4 × 20 = 80
4 × 200 =
4 × 2,000 =
10. 6 × 5 = 30
6 × 50 = 300
6 × 500 =
6 × 5,000 =
Multiply. Use basic facts and patterns.
11. 1 × 1,000 =
13. 9 × 200 =
15. 3 × 9,000 =
17. 5 × 50 =
19. 8 × 6,000 =
12. 6 × 400 =
14. 8 × 90 =
16. 2 × 700 =
18. 4 × 8,000 =
20. 7 × 500 =
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Multiply. Use basic facts and patterns.
1. 6 × 30 = 11. 600 × 5 =
2. 5 × 300 = 12. 7,000 × 4 =
3. 4 × 3,000 = 13. 30 × 2 =
4. 5 × 40 = 14. 7 × 200 =
5. 7 × 300 = 15. 8 × 700 =
6. 9 × 1,000 = 16. 9 × 700 =
7. 8 × 20 = 17. 8 × 50 =
8. 7 × 500 = 18. 700 × 6 =
9. 2 × 9,000 = 19. 4,000 × 9 =
10. 9 × 80 = 20. 5 × 60 =
Fine the value of each variable.
21. 5 × n = 2,500 23. 1 × n = 10
22. 8 × n = 32,000 24. 60 × n = 120
Skills PracticeMultiples of 10, 100, and 1,000
7–1
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Grade 4 10 Chapter 7
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Multiply. Use basic facts and patterns.
1. 4 × 1 = 2. 6 × 7 =
4 × 10 = 6 × 70 =
4 × 100 = 6 × 700 =
4 × 1,000 = 6 × 7,000 =
Multiply. Use mental math.
3. 2 × 70 = 4. 9 × 500 =
5. 7 × 4,000 =
ALGEBRA Find the value of each variable.
6. 30 × n = 120 7. 6 × n = 3,600
ALGEBRA Find the value of each expression if k = 2.
8. 20 × k = 9. k × 500 =
10. Joe bought a house. His payments are $1,000 a month. How much
will he pay for 5 months?
Tell whether each equation is balanced. Explain. (Lesson 6–7)
11. 48 ÷ 8 = (4 × 3) ÷ 2
12. 6 × 5 × 2 = 2 × 7 × 3
13. 3 × 9 × 2 = 6 × 3 × 3
Complete each equation to make it balanced.
14. (16 - 4) × = 3 × 8 15. 3 × (10 - 3) = × 7
7–1Homework PracticeMultiples of 10, 100, and 1,000
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Grade 4 11 Chapter 7
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Solve.
1. There were 20 pirates on a ship. Each one had 1 eye patch.How many eye patches were on the ship in all?
2. The pirates had 6 treasure chests with gold coins. Each chest had 9,000 gold coins. How many gold coins did the pirates have in all?
3. The pirates traveled 50 miles every day. They have been at sea for 8 days. How many miles have they traveled altogether?
4. One day the pirates sighted 2 whales every hour for 10 hours. How many total whales were sighted?
5. Over the 8 days that they have been at sea, the pirates ate 20 fish each day. How many fish were eaten in all?
6. The pirates plan to explore 3 islands which will require walking 20 miles per day. How many miles will they have walked if it takes 4 days to explore all 3 islands?
7. Four of the pirates have been away at sea for 200 days. How many days total have these four pirates been away at sea?
Problem-Solving PracticeMultiples of 10, 100, and 1,000
7–14NS3.0, 4MR3.2
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Grade 4 12 Chapter 7
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The numbers in these patterns are multiples of 10. Continue each pattern and write the rule.
1. 200, 2,000, 20,000, 200,000,
The rule is:
2. 10, 50, 250, 1,250,
The rule is:
3. 9,600, 4,800, 2,400, 1,200,
The rule is:
4. 30, 60, 120, 240,
The rule is:
5. 3,400,000,000, 34,000,000, 340,000, 3400,
The rule is:
Solve these problems. Use the answers to the fill in the blanks so that the paragraph makes sense.
3 × 1 = 3 × 10 = 3 × 100 =
About 126 kinds of fish and 346 kinds of mammals are on the
endangered species list. The mountain gorilla, one of kinds of gorillas that live in Africa, is endangered. Fewer than 640 mountain gorillas exist in the wild. They live in groups and eat mostly plants. The
average male weighs more than pounds and lives between
and 50 years.
7–1EnrichExTENding Patterns
4NS3.0, 4MR3.3
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Jeff wants to invite some friends over for dinner. He has a large rectangular table and knows there is room to seat 10 people on each of the long sides and 4 on the two ends of his table.
If Jeff wants everyone seated at the table, how many friends can he invite? Is it reasonable for him to invite 40 people?
Step 1: Understand. What facts do you know?Jeff can seat 10 people on each of the long sides of his table.Jeff can seat 4 people on each of the ends of his table.Jeff wants everyone seated at the table.
Step 2: Plan. What you need to know?How many friends is it reasonable for Jeff to invite?
Step 3: Solve. What math do you need to do?You need to figure out the number of people that can sit at the table, based on all of the amounts that you have.2 long sides, 10 people each: 10 × 2 = 20 2 ends, 4 people each: 4 × 2 = 8Add the amounts: 20 + 8 = 28 people can sit at the table.
Step 4: Check. See if your answer makes sense.When you compare the amount that can sit at the table, 28, to the amount of people that Jeff wants to invite, 40, you can see that it is not reasonable for him to invite 40 guests. If Jeff only has seats for 28, how many friends should he invite? (Remember, Jeff needs a seat too!)
Use the steps above to solve the following problem.Brittany was given 3 movies to watch in her free time. Each movie is 100 minutes long. Brittany has 70 minutes to relax before she goes to work every day, Monday through Friday. Is it reasonable for her to expect to watch all three movies, starting Monday and ending on Friday?
ReteachProblem–Solving Skill: Reasonable Answers
7–2
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Step 1: Understand. What facts do you know?
Step 2: Plan. What you need to know?
Step 3: Solve. What math do you need to do?
Figure out the total minutes it will take to watch all three movies.
Step 4: Check. See if your answer makes sense.
Decide whether each answer is reasonable. Explain your reasoning.
1. Sandy owns her own pizza restaurant. Her profit is about $2,000 a week. She needs to put aside $400 a week for taxes. Is it
reasonable for her to spend $1,900 a week?
2. Sandy works 5 days a week. Her total number of hours each week is 50. Is it reasonable to say that Sandy works 7 hours a day?
Reteach (continued)
Problem–Solving Skill: Reasonable Answers
7–2
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Decide whether each answer is reasonable. Explain your reasoning.
1. Jill is in charge of the school fair that will go on for a week. There will be 10 different volunteers helping each day. Is 70 a reasonable estimate of the number of people who are expected to volunteer?
2. Jill will have to walk home from the fair each day for the week. The fair is 1 mile from her home. Is it reasonable to say that she will walk more than 10 miles before the week is over?
3. Jill expects that the sale of donated soda will bring in about $50 a day for the week. Is it reasonable for her to expect at least $500 from soda sales by the end of the week?
4. Jill was able to collect donations of about $60 a month for the 10 months that she was planning the fair. She saved all of the money. In addition, she was given $350 that had been put aside from the previous fair. She needs $1,000 to rent a ferris wheel. Is it reasonable to say that she can pay for the ferris wheel rental in full?
Types of Prizes Number Collected
stuffed animals 98
plastic models 54
yo-yos 96
stopwatches 49
5. The table above shows the numbers of different prizes Jill collected for the fair. Is it reasonable for her to say that she has close to 300 prizes to give to those who win games?
6. Jill has spent a total of 6,000 minutes organizing the fair. Is it reasonable for her to claim that she organized the fair in under
10 hours?
Skills PracticeProblem–Solving Skill: Reasonable Answers
7–2
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Decide whether each answer is reasonable. Explain your reasoning.
1. Sam travels from Baltimore to Boston each year. It takes him 10 hours to get to Boston. He stops 3 times, for an hour each time. If he only stopped once, is it reasonable to say that he could get there in 6 hours?
2. The table below shows Sam’s expenses for his trip to Boston. Was it reasonable for Sam to say that the trip cost him close to $400?
Expenses Amount Spent
Food $103
Gas $252
Tolls $36
3. Write a problem that would have $1,000 as a reasonable answer.
Multiply. Use mental math. (Lesson 7–1)
4. 2 × 4,000 = 5. 3 × 80 =
6. 9 × 600 = 7. 4 × 5,000 =
8. 5 × 50 = 9. 6 × 900 =
10. 6 × 200 = 11. 8 × 1,000 =
12. 9 × 30 = 13. 5 × 70 =
ALGEBRA Find the value of each variable.
14. n × 20 = 60
15. t × 8 = 56,000
Homework PracticeProblem–Solving Skill: Reasonable Answers
7–2
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1 2 3 4
8 9 105 6 7 11
15 16 1712 13 14 18
22 23 2419 20 21 25
29 30 3126 27 28
OCTOBERS M T W T F S
Today is Tuesday and Scott has a book report due a week from next Friday. His favorite stories are science fiction.
1. If Scott starts reading a 72-page book on Tuesday, and he reads 9 pages every day, on what day of the week will he finish reading the book?
2. What if Scott reads 10 pages a day?
3. On Thursday, October 2, Scott’s teacher announced that three book reports were due by the end of the month – on each of the dates that is a multiple of ten. On what days and dates are the book reports due?
Day Date
EnrichBook Reports
7–2
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7–34NS3.0, 4NS1.3
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To estimate products, round numbers. Then use basic facts and multiply.Look at the number lines below.
4 5 6 7 8 9 100 1 2 3
50 60 70 80 90 10010 20 30 40
500 600 700 800 900 1,000100 200 300 400
Ones
Tens
Hundreds
When a number is halfway between two numbers, round up.
Round the greater factor to its
greatest place.
Use basic facts and multiply.
1. 59 × 5
2. 579 × 4
3. 788 × 3
4. 6,222 × 6
5. 8,951 × 4
6. 42 × 7
7. 6,450 × 8
8. 683 × 4
9. 7,395 × 3
ReteachUse Rounding to Estimate Products
Remember to round the greater factor to its greatest place.
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Estimate each product.
Solve.
29. The ambulance workers order 6 first aid kits. Each kit costs $39. About how much does it cost for 6 kits?
30. An ambulance travels about 386 miles a day. About how many miles does it travel in a week?
Skills PracticeUse Rounding to Estimate Products
1. 5 × 21 =
2. 3 × 39 =
3. 7 × $46 =
4. 85 × 6 =
5. 17 × 9 =
6. 81 × 3 =
7. 2 × $298 =
8. 4 × 305 =
9. 478 × 6 =
10. 5 × 784 =
11. 612 × 9 =
12. 6 × 556 =
13. 2 × 1,987 =
14. 3 × $2,126 =
15. 7 × 1,905 =
16. 8 × 3,495 =
17. 4,723 × 4 =
18. 5 × $7,118 =
19. 41 × 6 =
20. 28 × 7 =
21. 96 × 2 =
22. 17 × 8 =
23. 31 × 9 =
24. 255 × 4 =
25. 488 × 3 =
26. 563 × 5 =
27. 2,307 × 5 =
28. 7,596 × 6 =
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7–34NS3.0, 4NS1.3
Copyright ©
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ompanies, Inc.
Estimate each product.
1. 2 × 36 = 6. 5 × 423 =
2. 96 × 3 = 7. 6 × 523 =
3. 6 × 28 = 8. 3 × 667 =
4. 68 × 4 = 9. 2 × 366 =
5. 5 × 41 = 10. 4 × 712 =
Solve.
Homework Practice Use Rounding to Estimate Products
11. An airline pilot travels about 6,457 miles a week. About how many miles would she travel in a month?
12. If the L.A. Dodgers win about 21 games a month, about how many games would they win after three months?
Decide whether each answer is reasonable. Explain your reasoning. (Lesson 7-2)
13. Ted Williams had about 30 home runs a season. Is it reasonable to say that he had 300 home runs within a 6-year period?
14. Roger Clemens pitched about 16 winning games per year. After he had played 8 years for the Boston Red Sox, is it reasonable to say that he had about 130 wins?
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Grade 4 21 Chapter 7
7–34NS3.0, 4NS1.3
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Problem-Solving PracticeUse Rounding to Estimate Products
Estimate each product.
1. Each fourth-grade class has 28 students. There are three classes in the school. About how many fourth-grade students are there in all?
2. Pizzas cost $11 each. Miss Adams buys 4 pizzas. About how much does she spend on pizzas?
3. Chad’s family wants to buy 6 different board games. Each board game costs $17.99. About how much will all of the board games cost?
4. Habib buys 3 books that cost $9 each. About how much money does he spend on books?
5. Mr. Bell buys 4 shirts that cost $17 each. He has $50 to spend. Does he have enough money? Explain.
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7–34NS3.0, 4NS1.3
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In the center of each flower below, you will see a range of products. Use your rounding and estimation skills to complete the multiplication problems on the petals so that the answers fall into that range of products.
Flower 1
3 ×
4 ×
5 ×
6 ×
7 ×
125−150
EnrichFlower Power
Range of Products: 125–150
5 petals: 3 ×
4 ×
5 ×
6 ×
7 ×
Flower 2
6 ×
7 ×
8 ×
9 ×
10 ×
700−800
Range of Products: 700–800
5 petals: 6 ×
7 ×
8 ×
9 ×
10 ×
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Step 1 Multiply the ones.
3 × 5 = 15
This time the product of the ones is larger. You need to regroup. You have 1 ten and 5 ones. You need to add that ten to the other tens.
Step 2Multiply the tens. Add the new ten.
1 10 × 5 = 50 + 10
The tens (50 + 10) added to the ones (5) = 65
13×5
5
13×5
513×565
13×565
Step 1 Multiply the ones. 3 × 3 = 9
0 1 2 3 4 5 6 7 8 9
Step 2Multiply the tens.
10 × 3 = 30
0 10 20 30
The tens (30) added to the ones (9) = 39
13×3
9
13×3
9
13×339
13×339
ReteachMultiply Two-Digit Numbers
Find 13 × 3. First, think in terms of tens and ones. 13 has 1 ten and 3 ones.
Second, set up the problem with the greater number on top.
Solve the problem.
13×313×3
7–4
Find 13 × 5.First, think in terms of tens and ones. 13 has 1 ten and 3 ones. Second, set up the problem with the greater number on top.
13×5
Solve the problem.
Multiply. Check for reasonableness.
1. 26 × 5 = 2. 22 × 7 = 3. 45 × 3 =
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opyright © M
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-Hill, a division of T
he McG
raw-H
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panies, Inc.
1. 21 × 7 =
2. 38 × 5 =
3. 54 × 2 =
4. 49 × 6 =
5. 17 × 4 =
6. 25 × 9 =
7. 53 × 4 =
8. 28 × 7 =
9. 61 × 8 =
10. 39 × 2 =
11. 62 × 2 =
12. 38 × 4 =
13. 91 × 3 =
14. 46 × 5 =
15. 78 × 6 =
Skills PracticeMultiply Two-Digit Numbers
7–4
31. Look back over this page and circle every product greater than 300.
Multiply.
16. 98 × 5 =
17. 76 × 6 =
18. 24 × 9 =
19. 56 × 7 =
20. 48 × 8 =
21. 66 × 6 =
22. 77 × 7 =
23. 94 × 3 =
24. 59 × 4 =
25. 44 × 9 =
26. 24 × 7 =
27. 19 × 8 =
28. 67 × 5 =
29. 84 × 4 =
30. 91 × 2 =
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Solve.
17. A rectangle is 5 tiles wide by 13 tiles high. How many tiles are in the rectangle?
18. Books are stacked in 3 stacks with 17 books in each stack. How many books are in the stacks?
Estimate each product. (Lesson 7-3)
Homework PracticeMultiply Two-Digit Numbers
7–4
1. 73 × 3 =
3. 44 × 5 =
5. 31 × 7 =
7. 68 × 8 =
9. 32 × 9 =
11. 65 × 5 =
13. 33 × 6 =
15. 96 × 3 =
2. 88 × 4 =
4. 74 × 5 =
6. 85 × 4 =
8. 77 × 6 =
10. 97 × 2 =
12. 66 × 8 =
14. 94 × 3 =
16. 59 × 7 =
Multiply.
19. 89 × 2 =
21. 6 × 105 =
23. 4 × 209 =
20. 396 × 4 =
22. 3 × 412 =
24. 3 × 970 =
Solve.
25. A football player runs about 104 yards each game. After he has played 2 games, about how many yards has he run?
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1. There are 3 birds on the ground. Each bird eats 10 worms. How many worms are eaten all together?
2. Simon has 12 CDs. He burns 3 copies of each. How many CDs did Simon make?
3. The school auditorium has 4 rows of seats. There are 18 seats in each row. How many students can sit in the auditorium?
4. The school cafeteria has 6 rows of tables. Each row has 22 places to sit. How many students can eat in the school cafeteria?
5. Scott is playing a game of memory with some picture cards. He makes 4 rows and puts 23 cards in each row. How many picture cards is Scott using in this game?
6. Kate would like to play the memory game, too. She adds her cards to the game. Now, there are 8 rows, and 24 cards in each row. How many cards are there now?
7. John wants to buy birthday gifts for 8 friends. He can spend $19 for each gift. How much will he spend in all?
8. Caroline makes $5 an hour pet-sitting for the neighbors. Last summer she worked 31 hours. How much money did Caroline earn?
7–4Problem-Solving PracticeMultiply Two-Digit Numbers
Solve.
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Use the clues to figure out each factor. Write them in the two top boxes. Then multiply and write the product in the third box.
1. Prime number between 25 and 30 × Odd number greater than 6 and divisible by 3
2. Letters in “multiplication” × Quarts in a gallon
3. Square number close to 50 × Half a dozen
4. Inches in a yard × Days in a week
5. Five times eleven × Sides of an octagon
EnrichWhat’s the Problem?
7–4
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ReteachProblem-Solving Investigation
Choose the Best Strategy
Here are five problem-solving strategies and tips on how to use them.
Strategy How to Use ItUse the four-step plan Understand the facts. Plan your
strategy. Solve the problem using the strategy. Check your work.
Draw a picture Create a picture from the words in the problem to help you find the answer.
Look for a pattern Spot whether there is something in the problem that repeats or looks the same.
Make a table Organize data by making a table with columns for each category and rows for each number. Fill in the numbers to solve the problem.
Work backward Start with the information given in the problem. Then use subtraction to find the answer to the problem.
Use any strategy shown below to solve. Tell what strategy you used.
• Use the four-step plan • Make a table • Draw a picture • Work backward • Look for a pattern
1. Bob wants to treat his 3 friends to rides at an amusement park. All-day passes cost $10. What will Bob have to pay for himself and his friends to go on the rides all day?
7–5
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2. Russ is setting up his science project about the seashore at the fair. He has several rocks at the edge of the water, on the right side of the display. He has sand on the left side. Five starfish are on the right side of the rocks, touching the water. Are the starfish next to the sand?
3. Fill in the missing number. 3, 6, 12, 24, , 96, 192
4. There are 5 marbles in each bag. How many marbles do you have if you are given 10 bags of red marbles, 12 bags of yellow marbles, and 8 bags of blue marbles?
5. Mary now has 5 pairs of sneakers. Her friend gave her 1 white pair yesterday. Her mom bought her new pink ones this morning. How many pairs did she have originally?
6. Hank is planting pepper plants. In the first row, he plants 1 pepper. In the second row, he plants 2. In the third row, he plants 4. In the fourth row he plants 8. How many peppers will he plant in the sixth row?
7. Now, Jay has a collection of 20 baseball hats. He just got a new one on a school trip. Last week, his father’s friend gave him 6 hats. How many hats did he have originally?
8. Jerry was late to school all week. On Monday, Tuesday, and Wednesday; Jerry was 30 minutes late. On Thursday and Friday he was 50 minutes late. The principal told him that he would have to stay after school and make up all of the time before the end of the year. How many minutes will Jerry have to stay after school?
Reteach (continued)
Problem-Solving Investigation
7–5
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Problem-Solving Strategies
• Draw a picture • Make a table • Look for a pattern • Work backward
Use any strategy shown above to solve. Tell what strategy you used.
1. Fred is buying soda and snacks for a school event. He has to walk to the store and can only carry a limited amount at one time. He walked to the store 4 times. The first time he brought back 10 items, the second time 32, the third time 12, and the last time 15. How many items did he purchase?
2. Joe is building a storage shed. He needs 200 nails for each one of the 4 sides, 500 nails for the roof, 100 nails for the door, and 200 nails for the steps. How many nails will he need in all?
3. Andy is creating a design using colored shapes. He is starting with a triangle and ending with another triangle. In between the triangles, he has a circle to the left of a square. What does the design look like?
4. Gary rakes leaves. The first day, he fills 6 bags. The second day, he fills 8 bags. The third day, he fills 10 bags of leaves. If this pattern continues, how many bags will he fill on the fourth day?
5. Sherri now has 25 pairs of earrings. Last week she was given 2 pairs for her birthday. Just yesterday, her older sister gave her 2 sets of earrings. How many sets of earrings did she have originally?
Skills PracticeProblem-Solving Investigation
7-5
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Use any strategy to solve.
1. Joe has 5 new notebooks for school. Two of those notebooks have 3 sections and three have 5 sections. Joe needs 20 sections in all.
Does he have enough?
2. Each class uses 1,000 sheets of paper every week. The school uses a total of 9,000 sheets of paper every week. How many classes are
in the school?
3. Write a problem that you can solve by looking for a pattern. Explain the pattern you used.
Multiply. (Lesson 7-4)
4. 55 × 5 = 10. 4 × 52 = 16. 9 × 22 =
5. 75 × 6 = 11. 63 × 7 = 17. 72 × 8 =
6. 8 × 47 = 12. 29 × 9 = 18. 33 × 5 =
7. 6 × 39 = 13. 32 × 5 = 19. 2 × 90 =
8. 2 × 98 = 14. 4 × 60 =
9. 84 × 6 = 15. 66 × 8 =
Solve.
20. There are 26 teams in the basketball league. Each team has 9 players on its roster. How many players are there all together?
7–5Homework PracticeProblem-Solving Investigation
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1 2 3 4
8 9 105 6 7 11
15 16 1712 13 14 18
22 23 2419 20 21 25
29 30 3126 27 28
OCTOBERS M T W T F S
Angie has to sell 72 calendars for her school fundraiser.
1. If Angie starts selling on Thursday, and she sells 9 calendars every day, on what day of the week will she sell all of the calendars?
2. What if Angie sells 12 calendars a day?
On Monday, Angie’s teacher announced that the fundraiser would last for a total of 4 weeks. If Angie sold at a rate of 9 calendars a day, how many would she sell by the end of the fundraiser? Use the worksheet to help you find the answer.
By Week 1
By Week 2
By Week 3
By Week 4
Enrich Weekly Sales
7–5
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Multiply by following steps.
Find 22 × 6.
Step 1
Think in terms of tens and ones.22 is 2 tens and 2 ones.
Tens
2
Ones
2
Step 2
Multiply the ones. Tens
2
Ones
2
6 1 22× 6
6× 2 12
Regroup 12 ones as 1 ten + 2 ones. Be sure to put the 1 in the tens column above the two.
Step 3
Multiply the tens. Tens
2
Ones
2
6 1 22× 6 132
6 × 2 tens = 12 tens. Add the regrouped ten.12 tens + 1 ten = 13 tens.Regroup 13 tens as 1 hundred and 3 tens.
Multiply.
1. Tens
3
Ones
1
7
→
2. Tens
3
Ones
5
6
→
7–6ReteachMultiply Multi–Digit Numbers
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Multiply.
1. 114 × 6 =
2. 261 × 4 =
3. 628 × 8 =
4. 739 × 5 =
5. 295 × 3 =
6. 375 × 5 =
7. 648 × 7 =
8. 1,525 × 6 =
9. 1,313 × 9 =
10. 4,512 × 5 =
11. 6,421 × 3 =
12. $1,225 × 9 =
ALGEBRA Find the value of each expression if t = 7.
13. t × 385 =
14. t × 7,441 =
15. t × 1,123 =
Compare. Use >, <, or =.
16. 396 × 4 5 × 423
17. 4 × 712 3 × 412
18. 3 × 656 7 × 366
19. 6 × 523 2 × 379
20. 2 × 961 8 × 612
Skills PracticeMultiply Multi–Digit Numbers
7–6
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Multiply.
1. 416 × 6 = 6. 5,216 × 6 =
2. 293 × 5 = 7. $3,591 × 3 =
3. 153 × 4 = 8. $4,325 × 9 =
4. 310 × 3 = 9. 2,135 × 2 =
5. 2,135 × 4 = 10. 5,112 × 4 =
ALGEBRA Find the value of each expression if n = 3.
11. n × 6,421 =
12. n × 1,913 =
Homework PracticeMultiply Multi–Digit Numbers
7–6
Solve.
13. There are 9 children in the scout troop. Each of them contributed 127 hours to community clean-up projects. What is the total number of hours the scout troop contributed?
14. Five people donated to the school library this year. Each person donated $225. How much money did the library get in donations this year?
Use any strategy to solve. (Lesson 7-5)
15. For the past 6 weeks, fourth-grade safety guards have worked after school and waited with first-grade students until their parents came for them. The first week they waited with 5 first-graders, the second week with 7, the third week with 9. If the pattern continued, how many first-graders did they wait with for the fourth, fifth, and sixth weeks?
16. Twenty babysitters in the babysitters club earned a total of $400 for the club each month. How much would 40 babysitters earn?
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Solve.
1. The first floor of an apartment building has space for 112 small apartments. The next 5 floors are the same. The first 6 floors of the apartment building have space for how many apartments?
2. Each year 6,578 people eat lunch in a certain restaurant. During a period of 5 years, how many people will eat in this restaurant?
3. The maximum number of people that can be on the top of a building at one time is 400. By 10 A.M. one morning there had already been 4 groups of 398 people to the top. How many people have been to the top of the building already?
4. In one greenhouse, there were 427 plants. If there were 5 greenhouses growing the same number of plants, how many plants would there be altogether?
5. A famous concert hall seats 9,551 people. Every seat was filled for the 9 concerts that took place in June. How many people heard a concert in this concert hall in June?
6. A taxi driver kept track of how many people were friendly to him in a day. Sixteen people told him what they were doing in the city, 8 asked him if he had a family, 23 told him what they liked best about the city, and 3 asked if they could buy him coffee. The taxi driver wanted his friends to believe that people are friendly, so he tripled his numbers. How many people did the taxi driver say were friendly to him?
Problem-Solving PracticeMultiply Multi-Digit Numbers
7–6
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PDF PASS CORRECTIONS
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Using only 1, 2, 3, and 6 to make three-digit numbers, find six even multiples of three. (You may not repeat these numerals in the samethree-digit number, so numbers like 222 are not allowed.)
Write the six even multiples of three in orderfrom least to greatest:
1.
2.
3.
4.
5.
6.
Use them, in that order, to complete these multiplication problems. Then solve the problems.
1. 2. 3.
× 5
× 6
× 9
4. 5. 6.
× 4
× 7
× 8
EnrichMore Multiples
7–6
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You can use the same steps to multiply numbers that contain zeros that you use to multiply any multidigit number.
Find 305 × 4.
Step 1
Think in terms of hundreds, tens, and ones.305 is 3 hundreds + 0 tens + 4 ones.
Step 2
Multiply the ones.
2 305
× 4 4 × 5 = 20 0
Regroup 20 ones as 2 tens + 0 ones. Be sure to put the 2 in the tens column above the 0.
Step 3
Multiply the tens.
2 305
× 4 20
4 × 0 tens = 0 tensAdd the regrouped 2 tens.0 tens + 2 tens = 2 tens
Step 4
Multiply the hundreds.
2 305
× 4 1220
4 × 3 hundreds = 1 thousand + 2 hundreds. 0 ones + 2 tens + 2 hundreds + 1 thousand = 1220
ReteachMultiply Across Zeros
→
→
↖
Multiply.
1. 402 × 8 =
2. 7,009 × 3 =
3. 5 × 301 =
4. 6 × 9,020 =
5. 2 × 1,099 =
6. 7 × 8,107 =
7. 806 × 9 =
8. 5,007 × 4 =
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1. 709 × 6 =
2. 450 × 3 =
3. 805 × 5
4. 6,058 × 8 =
5. 5,608 × 4 =
6. 5,079 × 8 =
7. 1,047 × 7 =
8. 2,009 × 2 =
9. 4,010 × 3 =
10. 7,028 × 4 =
11. 5,001 × 9 =
12. 7,084 × 9 =
13. 4,807 × 7 =
14. 3,009 × 4 =
15. 9,012 × 6 =
16. 7,040 × 8 =
17. 1,027 × 5 =
18. 5,405 × 5 =
19. 3,004 × 3 =
20. 4,303 × 2 =
21. 1,009 × 3 =
22. 9,300 × 1 =
23. 9,099 × 9 =
Skills PracticeMultiply Across Zeros
Solve.
24. Tamara has 5 tall trees in her back yard. Each tree is 108 feet tall.
How tall are all the trees put together?
25. Look back over the page and circle every product that has a 3 inthe tens place. Draw a box around every product that has
a 2 in the thousands place.
Multiply.
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Homework PracticeMultiply Across Zeros
Multiply.
For exercise 11, complete the table.
11. Multiply by 5,809.
Input 5 6 7 8 9
Output
Solve.
12. Jaime has 8 boxes of beads. Each box has 50 beads in it. How
many beads does she have in all?
Solve (Lesson 7-6)
13. 9,732 × 9 =
14. 2,581 × 2 =
15. There are 182 bulletin boards throughout the school. Each bulletin board is covered by 8 large pieces of colored paper. Every summer the colored paper is replaced. How many sheets of paper does it
take to cover the bulletin boards?
16. The school bulletin boards display at least 1,000 students’ papers. The bulletin boards are changed 9 times during the school year. At
least how many student papers are displayed over the year?
1. 460 × 6 =
2. 308 × 8 =
3. 6,404 × 3 =
4. 5,060 × 5 =
5. 7,032 × 4 =
6. 3,056 × 6 =
7. 7,501 × 4 =
8. 7,810 × 8 =
9. $2,058 × 3 =
10. $8,040 × 2 =
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Problem-Solving PracticeMultiply Across Zeros
Solve.
1. The school has 206 boxes of chalk. Each box has 8 pieces of chalk inside. How many pieces of chalk are there in all?
2. There are 401 windows in the school. Each window has 9 panes. When Mr. Parker washes each window pane by hand, how many panes does he wash?
3. The art teacher ordered 201 sets of markers for her students to use. Each set has 32 markers. How many markers did she order in all?
4. Each time the art class paints pictures, 108 brushes must be cleaned. If the art class paints pictures 9 times during the year, how many brushes will be cleaned?
5. Brent rode his bicycle 4 miles during the last day of August. His bicycle has an odometer that measures how far in miles and yards. Each mile has 1,760 yards. How many yards did Brent ride on the last day of August?
6. Cassandra ran 7 miles during the week. She wears a pedometer that measures how far she runs in miles and yards. Each mile has 1,760 yards. How many yards did Cassandra run in the week?
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EnrichMental Math Challenge
Choose factors from the box to make true multiplication equations.
3 810 5 608
402 6 2,003 9
7 4,005 4 906
306 2 5,002 8
1. × = 1,206
2. × = 1,530
3. × = 14,021
4. × = 3,240
5. × = 24,030
6. × = 1,836
7. × = 40,016
8. × = 5,472
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7
B D M Goal Progress
multiply multiples of 10 using basic facts and patterns
multiply multiples of 100 using basic facts and patterns
multiply multiples of 1,000 using basic facts and patterns
evaluate whether a solution to a problem is reasonable
estimate products by rounding
multiply a two-digit number by a one-digit number
choose the best strategy to solve a problem
multiply a three-digit number by a one-digit number
multiply multidigit numbers with zeros by a one-digit number
Notes
Individual Progress Checklist
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7Chapter Diagnostic Assessment
Read each question carefully. Write your answer on the line provided.
Multiply. Use models if needed.
1. 3 × 4 3. 4 × 5
2. 3 × $2 4. 6 × $4
$10
5. Mrs. Williams wants to buy 5 soccer balls for her class. How much will she spend?
Identify the place value of the underlined digit.
6. 1,576 8. 32,187
7. $7,432 9. 889
10. Lake Tahoe, in Tahoe City, California, is 1,645 feet deep. Identify the place value of each digit in 1,645.
Round each number to its greatest place value.
11. 37
12. 368
13. 3,487
14. $42,898
15. There are 10,187 people in Chen’s town. Approximately how many people live in his town?
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Grade 4 45 Chapter 7
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7Chapter Pretest
Read each question carefully. Write your answer on the line provided.
Multiply.
1. 7 × 900 = 5. 28 × 7 =
2. 5,000 × 4 = 6. $4,843 × 9 =
3. 3 × 20 = 7. 107 × 5 =
4. 37 × 3 = 8. 2 × 800 =
Decide whether each answer in reasonable.
9. Jill runs about 10 miles a week. Is it reasonable to assume she will run at least 500 miles in a year?
10. Larry’s father travels 1,200 miles on each business trip. He goes on business trips about once a month. Is it reasonable to assume he will travel 30,000 miles in a year?
11. Opie takes karate classes twice a week. The classes cost $105 per week. Is it reasonable to assume he will pay more than $1,200 for the karate classes in a month?
Estimate each product by rounding.
12. 8 × 990 =
13. $4,689 × 3 =
14. 792 × 5 =
Solve. Check for reasonableness.
15. The Lachica family’s electricity bill averages $103 per month. How much will they pay for electricity after6 months?
16. Gailynn visits her grandmother in Hawaii every summer. The flight time from Los Angeles, where Gailynn lives, to Honolulu is about 4 hours. How many minutes does Gailynn spend on an airplane each summer? (Remember, she flies there and back.)
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Grade 4 46 Chapter 7
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7Quiz 1 (Lessons 7-1 through 7-2)
Read each question carefully. Write your answer on the line provided.
Multiply. Use basic facts and patterns.
1. 5 × 35 × 305 × 3005 × 3,000
2. 5 × 70 =
3. 20 × 4 =
4. n × 30 = 90
5. m × 4 = 240
6. 9 × 8,000 =
Find the value of each expression if k = 9.
7. 3,000 × k =
8. 200 × k =
9. Five friends want to go to a Broadway show. The tickets for the show they want to see are $40 each. How much money will the friends’ tickets cost?
10. Suppose that each member of a family of four makes 30 phone calls during a week. How many phone calls will they make all together?
Decide whether the answer is reasonable. Explain your reasoning.
11. A school lunch costs $3. Is it reasonable to assume that Harvey will spend more than $10 on lunch this week if he buys lunch every day?
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Grade 4 47 Chapter 7
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7
Estimate each product by rounding.
1. 6 × 375 =
2. 888 × 7 =
3. 7 × 2,221 =
4. 2 × 991 =
5. 4,326 × 4 =
Multiply. Check for reasonableness.
6. 21 × 8 =
7. 5 × 38 =
8. 72 × 9 =
9. 69 × 2 =
10. 45 × 7 =
Solve.
11. The Wang family is planning a road trip across the country. If they drive 515 miles a day for 6 days, about how many miles will they drive in all?
12. The Mullen brothers take golf lessons that cost $785 per year. About how much will 5 years of golf lessons cost?
Quiz 2 (Lessons 7-3 through 7-4)
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Grade 4 48 Chapter 7
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Quiz 3 (Lessons 7-5 through 7-7)7
Read each question carefully. Write your answer on the line provided.
Multiply.
1. $177 × 9 =
2. 355 × 7 =
3. $644 × 8 =
4. 501 × 3 =
5. 7 × $5,003 =
6. 904 × 6 =
Find the value of each expression if n = 6.
7. n × 5,334 =
8. 662 × n =
Solve. Tell what strategy you used.
9. Kellie now has $45. Today she earned $21 babysitting, and she received $4 for her allowance. How much money did she have yesterday?
10. Mr. and Mrs. Kwan played miniature golf with their four children at the carnival. It cost $5 for adults and $3 for children to play. How much did they spend on miniature golf?
11. Gabriel planted seeds in his garden. He planted 3 seeds in the first row, 7 seeds in the second row, and 11 seeds in the third row. If the pattern continues, how many seeds will he plant in the seventh row?
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Grade 4 49 Chapter 7
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7Mid-Chapter Review (Lessons 7-1 through 7-4)
Read each question carefully. Write your answer on the line provided.
1. Multiply. Use mental math. 6 × 4 =
A. 12 B. 20 C. 21 D. 24
2. It costs the Gerardo family about $80 a day to eat while on vacation. If they are on vacation for 5 days, about how much will it cost them to eat?
F. $40 G. $250 H. $300 J. $400
3. Ben bikes at least 60 miles each month. How many miles is it reasonable to estimate that he will bike in 5 months?
A. 200 B. 300 C. 400 D. 700
Estimate the product.
4. 2 × 257
F. 200 G. 410 H. 514 J. 600
5. 7 × 2,566
A. 14,000 B. 17,962 C. 18,000 D. 21,000
6. Janie is putting her books away. She can fit 10 books on each shelf of her bookcase. There are 4 shelves. How many books will fit on the bookcase?
7. Juanita makes $10 an hour as a lifeguard at the recreation center. Last month she worked 90 hours. How much money did Juanita earn?
Multiply. Check for reasonableness.
8. 33 × 2
9. $24 × 4
10. The sales tax in Betty’s town is 5 cents for each dollar that is spent on any item in any store. How much sales tax is charged for a computer program that costs $200?
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Grade 4 50 Chapter 7
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Using the word bank below, complete each sentence by writing the correct word or words in the blank.
additiondivisionestimatemultiplicationproductsubtractionwhole numbers
1. The term means to split a number into equal parts.
2. is an operation on two numbers to find their product. It can be thought of as repeated addition.
3. An operation on two or more addends that is equal to a sum is .
4. An is a number close to an exact value; it indicates about how much.
5. is an operation on two numbers that tells the difference, when some or all are taken away.
6. A is the answer to a multiplication problem. It also refers to expressing a number as a product of its factors.
7. The numbers 0, 1, 2, 3, 4 are .
Vocabulary Test7
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P rinter P DF
Grade 4 51 Chapter 7
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Read each question aloud to the student. Then write the student’s answers on the lines below the question.
Arrange 4 groups of 3 base-ten blocks and 2 ones.
1. How many groups do we have? How many objects are in each group?
2. Use the blocks to show the product of 2 × 32.
3. Tell how you got your answer.
4. Use the blocks to show the product of 4 × 32.
5. Tell how you got your answer.
6. What is the product of 2 × 4? 2 × 40? 2 × 400?
7. Describe the pattern you see in Exercise 6.
Oral Assessment7
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Grade 4 52 Chapter 8
8. Elena is cleaning her room. She can fit 25 books on each shelf of her bookcase. There are 6 shelves. How many books will fit on the bookcase?
9. How many books would fit on the bookcase if there were 5 shelves?
10. Tell how you got your answer.
11. If she could fit 20 books on a shelf and there were 4 shelves, how many books could she fit?
12. Tell how you got your answer.
13. If she could fit 30 books on a shelf and there were 4 shelves, how many books could she fit?
14. Tell how you got your answer.
7Oral Assessment (continued)
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Grade 4 53 Chapter 7
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Score Explanation
3 Student successfully completed the chapter project.Student demonstrated appropriate use of chapter information in completing the chapter project.
2 Student completed the chapter project with partial success.Student partially demonstrated appropriate use of chapter information in completing the chapter project.
1 Student did not complete the chapter project or completed it with little success.Student demonstrated very little appropriate use of chapter information in completing the chapter project.
0 Student did not complete the chapter project.Student demonstrated inappropriate use of chapter information in completing the chapter project.
Chapter Project Rubric 7
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Grade 4 54 Chapter 7
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Multiply by One-Digit Numbers
Four-Door Book Foldables
Score Explanation
3 Student properly assembled Foldables graphic organizer according to instructions.Student recorded information related to the chapter in the manner directed by the Foldables graphic organizer.Student used the Foldables graphic organizer as a study guide and organizational tool.
2 Student exhibited partial understanding of proper Foldables graphic organizer assembly.Student recorded most but not all information related to the chapter in the manner directed by the Foldables graphic organizer.Student demonstrated partial use of the Foldables graphic organizer as a study guide and organizational tool.
1 Student showed little understanding of proper Foldables graphic organizer assembly.Student recorded only some information related to the chapter in the manner directed by the Foldables graphic organizer.Student demonstrated little use of the Foldables graphic organizer as a study guide and organizational tool.
0 Student did not assemble Foldables graphic organizer according to instructions.Student recorded little or no information related to the chapter in the manner directed by the Foldables graphic organizer.Student did not use the Foldables graphic organizer as a study guide and organizational tool.
Foldables Rubric7
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Grade 4 55 Chapter 7
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7Chapter Test, Form 1
Read each question carefully. Write your answer on the line provided.
1. 5 × 30, 5 × 300, and 5 × 3,000
A. 15, 150, 1,500 B. 25, 1,500, 30,000 C. 150, 1,500, 15,000 D. 250, 2,500, 25,000
2. 2 × 4,000
F. 800 G. 8,000 H. 12,000 J. 42,000
3. Four friends are going to a concert. The tickets are $20 per person. What is the total cost of the tickets?
A. $80 B. $100 C. $405 D. $800
4. Mr. Johnson goes for a 30-minute walk every day. How many minutes does he walk in 7 days?
F. 200 minutes G. 210 minutes H. 310 minutes J. 2,000 minutes
5. 500 × 6
A. 300 B. 3,000 C. 30,000 D. 300,000
6. 5 × 3,000
F. 1,500 G. 15,000 H. 150,000 J. 1,500,000
7. 440 × 2
A. 88 B. 880 C. 8,800 D. 88,000
8. 1,600 × 4
F. 6 G. 640 H. 6,400 J. 60,000
9. Estimate the product. 3 × 241
A. 600 B. 700 C. 723 D. 850
10. Estimate the product. 4 × 268
F. 108 G. 270 H. 1,072 J. 1,200
11. Mrs. Black teaches 6 classes. Each class has 29 students. About how many students does Mrs. Black have all together?
A. 180 B. 174 C. 120 D. 100
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PDF PASS CORRECTIONS
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Grade 4 56 Chapter 7
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12. Jessica is packing her books into boxes. If she has 100 books and can fit 10 books into one box, how many boxes will she need to pack all of her books?
F. 5 G. 10 H. 20 J. 50
13. Multiply with regrouping. Choose the most reasonable answer.23 × 6
A. 110 B. 138 C. 150 D. 300
14. Estimate the product. 48 × 6
F. 240 G. 280 H. 288 J. 300
15. Multiply the ones, tens, and hundreds. Which choice correctly shows this process? 239 × 7
A. 7 × 239 B. 9 × 7, 9 × 39, 9 × 2 C. 7 × 9 ones, 7 × 3 tens, 7 × 2 hundreds D. 2 × 7, 3 × 7, 9 × 7
16. The circus sold 300 tickets on Monday. If each ticket cost $8, how much did the circus make?
F. $900 G. $1,200 H. $1,800 J. $2,400
17. Multiply. Check for reasonableness. 204 × 3
A. 408 B. 612 C. 2,000 D. 2,652
18. Find the value of this expression if k = 7.372 × k
F. 379 G. 2,604 H. 2,772 J. 2,802
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Chapter Test, Form 1 (continued)7
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Grade 4 57 Chapter 7
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Chapter Test, Form 2A7
Read each question carefully. Write your answer on the line provided.
1. 6 × 40, 6 × 400, and 6 × 4,000
A. 250, 2,500, 25,000 B. 240, 2,400, 24,000 C. 24, 140, 1,400 D. 24, 400, 34,000
2. 2 × 8,000 =
F. 16,000 G. 12,000 H. 1,600 J. 800
3. Three friends are going to a concert. The tickets are $20 per person. What is the total cost of the tickets?
A. $600 B. $120 C. $60 D. $40
4. Sally goes for a 40-minute walk every day. How many minutes does she walk in 5 days?
F. 200 minutes G. 210 minutes H. 310 minutes J. 2,000 minutes
5. 700 × 6 =
A. 300 B. 1,300 C. 4,200 D. 42,000
6. 4 × 2,000 =
F. 8,000 G. 15,000 H. 80,000 J. 8,500,000
7. Estimate the product. 5 × 231
A. 1,500 B. 1,200 C. 1,000 D. 723
8. Estimate the product.2 × 266
F. 600 G. 400 H. 270 J. 108
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P rinter P DF
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Grade 4 58 Chapter 7
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Chapter Test, Form 2A (continued)7
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9. Mrs. Black teaches 8 classes. Each class has 29 students. About how many students does Mrs. Black have all together?
A. 240 B. 232 C. 120 D. 100
10. Jessica is packing her books into boxes. If she has 5 boxes, and puts 10 books into one box, how many books does she have?
F. 50 G. 15 H. 10 J. 5
11. Multiply with regrouping.27 × 6
A. 150 B. 162 C. 180 D. 300
12. Estimate the product. 51 × 6
F. 240 G. 280 H. 288 J. 300
13. Multiply the ones, tens, and hundreds. Which choice correctly shows this process? 139 × 7
A. 7 × 239 B. 9 × 7, 7 × 39, 7 × 139 C. 7 × 9 ones, 7 × 3 tens, 7 × 1 hundred D. 2 × 7, 3 × 7, 9 × 7
14. The circus sold 409 tickets on Monday. If each ticket cost $9, how much did the circus make?
F. $4,090 G. $3,681 H. $1,318 J. $1,100
15. Multiply. Check for reasonableness.204 × 3
A. 408 B. 612 C. 2,000 D. 2,652
16. Find the value of this expression if k = 7.372 × k
F. 2,800 G. 2,772 H. 2,604 J. 379
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Grade 4 59 Chapter 7
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7Chapter Test, Form 2B
Read each question carefully. Write your answer on the line provided.
1. 6 × 40
A. 250 B. 240 C. 24
2. 6 × 400
F. 2,400 G. 2, 500 H. 240
3. 6 × 4,000
A. 21,000 B. 24,000 C. 240,000
4. Three friends are going to a concert. The tickets are $20 each. What is the total cost of the tickets?
F. $600 G. $60 H. $40
5. 700 × 6
A. 300 B. 4,200 C. 42,000
6. 4 × 2,000
F. 8,000 G. 15,000 H. 80,000
7. Multiply with regrouping. 27 × 6
A. 180 B. 162 C. 150
8. Estimate the product. 5 × 231
F. 1,000 G. 1,155 H. 1,200
9. Estimate the product. 2 × 266
A. 600 B. 400 C. 108
10. Mrs. Black teaches 8 classes. Each class has 29 students. About how many students does Mrs. Black have all together?
F. 240 G. 232 H. 120
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Grade 4 60 Chapter 7
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7Chapter Test, Form 2B (continued)
11. Jessica is packing her books into boxes. If she has 50 books, and can fit 10 books into one box, how many boxes will she need to pack all of her books?
A. 50 B. 20 C. 5
12. Estimate the product. 51 × 6
F. 280 G. 288 H. 300
13. Multiply the ones, tens, and hundreds. Which choice shows this? 139 × 7
A. 7 × 239
B. 9 × 7, 7 × 39, 7 × 139
C. 7 × 9 ones, 7 × 3 tens, 7 × 1 hundred
14. Sally goes for a 40-minute walk every day. How many minutes does she walk in 5 days?
F. 200 minutes G. 210 minutes H. 2,000 minutes
15. Multiply. Check for reasonableness.240 × 3
A. 720 B. 7,200 C. 7,440
16. There are band members going to a parade. They are going in 8 vans that seat 12 people. If all the vans are full, how many band members are going?
F. 72 members G. 96 members H. 116 members
11.
12.
13.
14.
15.
16.
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Chapter Test, Form 2C7
Read each question carefully. Write your answer on the line provided.
1. Three friends are going to a concert. The tickets are $30 per person. What is the total cost of the tickets?
2. Sally goes for a 30-minute walk every day. How many minutes does she walk in 5 days?
3. Estimate the product. 5 × 231
4. Estimate the product.2 × 266
5. Mrs. Black teaches 7 classes. Each class has 29 students. About how many students does Mrs. Black have all together?
6. 700 × 5
7. 3 × 2,000
8. 603 × 6
9. 216 × 2
10. Jessica is packing her books into boxes. If she has 5 boxes, and can fit 10 books into one box, how many books does she pack?
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
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Chapter Test, Form 2C (continued)7
11. Multiply with regrouping. 27 × 6
12. There are band members going to a parade. They are going in 9 vans that seat 8 passengers each. How many band members are going?
13. Estimate the product by rounding. 51 × 6
14. Multiply the ones, tens, and hundreds. Show the steps.7 × 139
15. Solve when n = 6.400 × n
16. Multiply. Check for reasonableness.300 × 2
17. Solve 6 × 40, 6 × 400 and 6 × 4,000.
18. 2 × 8,000
11.
12.
13.
14.
15.
16.
17.
18.
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7Chapter Test, Form 2D
Read each question carefully. Write your answer on the line provided.
1. Three friends are going to a concert. The tickets are $30 each. What is the total cost of the tickets?
2. Sally goes for a 30-minute walk every day. How many minutes does she walk in 5 days?
3. Estimate the answer by rounding.5 × 231
4. Estimate the answer by rounding.2 × 266
5. Mrs. Black teaches 7 classes. Each class has 29 students. About how many students does Mrs. Black have altogether?
6. 700 × 5
7. 3 × 2,000
8. Jessica is packing her books into boxes. If she has 5 boxes, and can fit 10 books into one box, how many books does she have?
1.
2.
3.
4.
5.
6.
7.
8.
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9. Multiply with regrouping. What is the best estimate?27 × 6
10. There are band members in 9 vans going to a parade. Eight people can fit in one van. How many band members are going?
11. Estimate the answer by rounding. 51 × 6
12. Multiply the ones, tens, and hundreds. Show each step.7 × 139
13. The circus sold 400 tickets on Monday. If each ticket cost $9, how much money did the circus make?
14. Solve for x.300x = 2,400
15. Solve 6 × 40, 6 × 400 and 6 × 4,000.
16. 2 × 8,000
7Chapter Test, Form 2D (continued)
9.
10.
11.
12.
13.
14.
15.
16.
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Read each question carefully. Write your answer on the line provided.
1. Five friends are going to a concert. The tickets are $32.50 per person. To the nearest ten dollars, what is the approximate cost of the tickets?
2. Sally walks 210 minutes in 6 days. How many minutes does she walk in 12 days?
3. Estimate the product by rounding. 5 × 234
4. Estimate the product by rounding.2 × 246
5. Mrs. Black teaches a total of 210 students. If each student has 3 pencils, about how many pencils do the students have?
6. 700 × 5
7. 3 × 2,000
8. Jessica needs 5 boxes to pack her books. If she can fit 10 books into one box, how many books does she have?
7Chapter Test, Form 3
1.
2.
3.
4.
5.
6.
7.
8.
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9. Multiply with regrouping.27 × 6
10. There are band members going to a parade. They are going in 9 vans that seat 8 passengers. How many band members are going?
11. Estimate the product by rounding. 51 × 6
12. Multiply the ones, tens, and hundreds. Show this process.7 × 139
13. The circus sold 400 tickets on Monday. If each ticket cost $9, how much money did the circus make?
14. Solve when t = 8.3,000 × t
15. Solve 6 × 40, 6 × 400 and 6 × 4,000.
16. 2 × 8,000
7Chapter Test, Form 3 (continued)
9.
10.
11.
12.
13.
14.
15.
16.
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Demonstrate your knowledge by giving a clear, concise solution to each problem. Be sure to include all relevant drawings and justify your answers. You may show your solution in more than one way or investigate beyond the requirements of the problem. If necessary, record your answer on another piece of paper.
1. What basic facts and patterns can you use to find 4 × 9,000? Show your work.
2. Evaluate the reasonableness of the solution in the context of this problem:
Mary donated 2 cases of crayons to a childcare center. Each case has 20 packs of crayons. The childcare center has 30 children. Mary says she donated more than enough packs of crayons in order for each child to have their own pack. Is this claim reasonable?
3. Write a real-world multiplication problem that involves the multiplication sentence 10 × 4. Solve the problem.
4. Identify the multiplication problem that does not belong with the other three. Explain.
201 × 4 = 804
262 × 5 = 1,310
765 × 2 = 1,530
923 × 8 = 7,384
Chapter Extended-Response Test7
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7Student Recording Sheet
Use this recording sheet with pages 294–295 of the Student Edition.Read each question. Then fill in the correct answer.
1. A B C D
2. F G H J
3. A B C D
4. F G H J
5. A B C D
6. F G H J
7. A B C D
8. F G H J
9. A B C D
10. F G H J
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Test Example
How many paperclips are in 7 boxes of 500?
A. 7,500 paperclips B. 7,000 paperclips C. 5,000 paperclips D. 3,500 paperclips
Read the QuestionYou need to know the number of paperclips in 7 boxes.
Solve the QuestionLook for the basic fact in the problem. Solve it.The basic fact is 7 × 5. The answer is 35.
Then count the number of zeros in the factor.There are 2 zeros in the factor 500.
Add 2 zeros to 35.So, 7 × 500 = 3,500.
The answer is D.
Read each question carefully. Write your answer on the line provided.
1. Irene has 10 bags of carrots. Each bag has 30 carrots. How many carrots does she have?
A. 300 carrots B. 3,000 carrots C. 3,100 carrots D. 30,000 carrots
2. A jumbo jet can travel 483 miles per hour. About how many miles will it travel in 5 hours?
F. 2,500 miles G. 2,000 miles H. 1,000 miles J. 500 miles
3. Cristina needs to purchase 4 tickets to a play. Each ticket costs $23. How much will 4 tickets cost?
A. $46 B. $80 C. $92 D. $100
1.
2.
3.
7Cumulative Standardized Test Practice
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4. The bakery has 12 display shelves. Each shelf can hold 12 desserts. How many desserts can the bakery display at one time?
F. 104 G. 144 H. 244 J. 404
5. The hotel that the Nguyen family is staying in costs $80 a day. Their vacation is 6 days long. How much is the total cost of the hotel?
A. $480 B. $500 C. $520 D. $4,800
6. Find n if 17 + n = 34
F. 7 G. 17 H. 19 J. 27
7. What is the value of y?(9 + 6) × (2 × 3) = y
A. 20 B. 90 C. 120 D. 260
8. This frequency table shows the number of dogs groomed by Ernesto’s dog grooming business in one month.
WeekNumber of Dogs
Groomed1 102 203 254 20
Which week did Ernesto groom more than 20 dogs?
F. Week 1 G. Week 2 H. Week 3 J. Week 4
4.
5.
6.
7.
8.
7Cumulative Standardized Test Practice (continued)
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9. The table shows how many miles an airplane traveled over 4 weeks.
Week Number of Miles
1 6232 5133 7834 723
About how many total miles did the airplane travel over 4 weeks?
A. 2,000 B. 2,600 C. 2,800 D. 2,900
10. Find 3,200 - 2,121
F. 979 G. 1,079 H. 1,180 J. 1,181
11. Multiply 8 × 8,000 using mental math.
12. Find the value of the expression n × 30 if n = 7.
13. Estimate the product of 2 × 290.
14. Multiply 46 × 3 using partial products.
15. Multiply $3,291 × 4 using the standard method.
7Cumulative Standardized Test Practice (continued)
9.
10.
11.
12.
13.
14.
15.
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Grade 4 A1 Chapter 7
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Answers (Graphic Organizer and Anticipation Guide)
Chapter Resources
Nam
e D
ate
Gra
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in
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Bef
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whe
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Ant
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• Re
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e th
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or a
D (
disa
gree
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any
of
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s ab
out
the
stat
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hang
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he f
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colu
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• Fo
r th
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you
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ith a
D, u
se a
sep
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of p
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why
you
dis
agre
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xam
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, if
poss
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.
STEP
1A
, D, o
r N
SSt
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STEP
2A
or
D
1.
Kno
win
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sic
fact
s an
d nu
mbe
r pa
tter
ns c
an h
elp
you
to
mul
tiply
men
tally
.A
2.
2 ×
2,0
00 =
4,0
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3.
5 ×
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000
= 5
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0A
4.
3 ×
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= 7
,200
D
5. U
sing
par
tial p
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can
help
you
to
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tiply
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ti-di
git
num
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. A
6.
Whe
n m
ultip
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a f
our-
digi
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mbe
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u sh
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, the
n th
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add
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ther
.A
7.
Usi
ng e
stim
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n, 5
× $
3,30
0 is
abo
ut $
15,0
00 (
5 ×
$3,
000)
.A
8.
Usi
ng e
stim
atio
n, 4
× 6
,700
is a
bout
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000
(4 ×
7,0
00).
A
9. Y
ou m
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ly m
ulti-
digi
t nu
mbe
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he s
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way
tha
t yo
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by a
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7 ×
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An
swer
s
Grade 4 A2 Chapter 7
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Nam
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zero
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1.
2 ×
10
=
20
2.
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10
=
30
Mu
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th
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3.
7 ×
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4.
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7.
3 ×
5 =
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3
× 5
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3
× 5
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1,
500
3
× 5
,000
= 1
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0
8.
5 ×
2 =
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× 2
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9.
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2 =
8
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80
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× 2
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80
0
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2,0
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8,
000
10.
6 ×
5 =
30
6
× 5
0 =
300
6
× 5
00 =
3,
000
6
× 5
,000
= 3
0,00
0
Mu
ltip
ly. U
se b
asic
fac
ts a
nd
pat
tern
s.
11.
1 ×
1,0
00 =
1,
000
13.
9 ×
200
= 1,
800
15.
3 ×
9,0
00 =
27,
000
17.
5 ×
50
=
250
19.
8 ×
6,0
00 =
48,
000
12.
6 ×
400
= 2,
400
14.
8 ×
90
=
720
16.
2 ×
700
= 1,
400
18.
4 ×
8,0
00 =
32,
000
20.
7 ×
500
= 3,
500
008_
012_
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_L01
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s%0/
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M_c
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kboo
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Chapter Resources
Nam
e D
ate
Gra
de 4
9
Cha
pter
7
4NS3
.0, 4
MR2
.2
Copygt©aca/cGaw,advsooecGawCopaes,c.
Mu
ltip
ly. U
se b
asic
fac
ts a
nd
pat
tern
s.
1.
6 ×
30
=
180
11
. 60
0 ×
5 =
3,
000
2.
5 ×
300
= 1,
500
12
. 7,
000
× 4
= 2
8,00
0
3.
4 ×
3,0
00 =
12,
000
13.
30 ×
2 =
60
4.
5 ×
40
=
200
14
. 7
× 2
00 =
1,
400
5.
7 ×
300
= 2,
100
15
. 8
× 7
00 =
5,
600
6.
9 ×
1,0
00 =
9,
000
16
. 9
× 7
00 =
6,
300
7.
8 ×
20
=
160
17
. 8
× 5
0 =
40
0
8.
7 ×
500
= 3,
500
18
. 70
0 ×
6 =
4,
200
9.
2 ×
9,0
00 =
18,
000
19.
4,00
0 ×
9 =
36,
000
10.
9 ×
80
=
720
20
. 5
× 6
0 =
30
0
Fin
e th
e va
lue
of e
ach
var
iab
le.
21.
5 ×
n =
2,5
00
500
23
. 1 ×
n =
10
10
22.
8 ×
n =
32,
000
4,00
0
24. 6
0 ×
n =
120
2
Skill
s Pr
acti
ceM
ultip
les
of 1
0, 1
00, a
nd 1
,000
7–1
008_
012_
C07_
L01_
1058
41.in
dd P
age
9 5
/8/1
0 5
:52:
38 P
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er/V
olum
es/1
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O000
16_r
3/Gr
ade_
4%0/
Appli
catio
n_Fil
es%
0/CR
M_ch
07/W
orkb
ook
Answers (Lesson 7-1)
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P rinter P DF
Copyright ©
Macm
illan/McG
raw-H
ill, a division of The M
cGraw
-Hill C
ompanies, Inc.
Grade 4 A3 Chapter 7
Copyright ©
Macm
illan/McG
raw-H
ill, a division of The M
cGraw
-Hill C
ompanies, Inc.
Nam
e D
ate
Gra
de 4
10
C
hapt
er 7
4NS3
.0, 4
MR2
.2
Mu
ltip
ly. U
se b
asic
fac
ts a
nd
pat
tern
s.
1.
4 ×
1 =
4
2.
6 ×
7 =
42
4
× 1
0 =
40
6
× 7
0 =
42
0
4 ×
100
=
400
6
× 7
00 =
4,
200
4
× 1
,000
= 4,
000
6
× 7
,000
= 4
2,00
0M
ult
iply
. Use
men
tal
mat
h.
3.
2 ×
70
=
140
4.
9 ×
500
= 4,
500
5.
7 ×
4,0
00 =
28,
000
ALG
EBR
A F
ind
th
e va
lue
of e
ach
var
iab
le.
6.
30 ×
n =
120
4
7.
6 ×
n =
3,6
00
600
ALG
EBR
A F
ind
th
e va
lue
of e
ach
exp
ress
ion
if
k =
2.
8.
20 ×
k =
40
9.
k×
500
= 1
,000
10.
Joe
boug
ht a
hou
se. H
is p
aym
ents
are
$1,
000
a m
onth
. How
muc
h
will
he
pay
for
5 m
onth
s? $
5,00
0
Tell
wh
eth
er e
ach
eq
uat
ion
is
bal
ance
d. E
xpla
in. (
Less
on 6
–7)
11.
48 ÷
8 =
(4
× 3
) ÷
2Y
es. B
oth
sid
es e
qu
al 6
. 12
. 6
× 5
× 2
= 2
× 7
× 3
No.
On
e si
de
equ
als
60, t
he
oth
ersi
de
equ
als
42.
13.
3 ×
9 ×
2 =
6 ×
3 ×
3
Y
es. B
oth
sid
es e
qu
al 5
4.Co
mp
lete
eac
h e
qu
atio
n t
o m
ake
it b
alan
ced
.
14.
(16
- 4
) ×
2
= 3
× 8
15
. 3
× (
10 -
3)
= 3
× 7
7–1
Hom
ewor
k Pr
acti
ceM
ultip
les
of 1
0, 1
00, a
nd 1
,000
008_
012_
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_L01
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841.
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Chapter Resources
Nam
e D
ate
Gra
de 4
11
C
hapt
er 7
Solv
e.
1.
Ther
e w
ere
20 p
irate
s on
a s
hip.
Eac
h on
e ha
d 1
eye
patc
h.H
ow m
any
eye
patc
hes
wer
e on
the
shi
p in
all?
20 e
ye p
atch
es 2
. Th
e pi
rate
s ha
d 6
trea
sure
che
sts
with
gol
d co
ins.
Eac
h ch
est
had
9,00
0 go
ld c
oins
. How
man
y go
ld c
oins
did
the
pira
tes
have
in a
ll?
54,0
00 g
old
coi
ns
3.
The
pira
tes
trav
eled
50
mile
s ev
ery
day.
The
y ha
ve b
een
at s
ea f
or
8 da
ys. H
ow m
any
mile
s ha
ve t
hey
trav
eled
alto
geth
er?
400
mil
es 4
. O
ne d
ay t
he p
irate
s si
ghte
d 2
wha
les
ever
y ho
ur f
or 1
0 ho
urs.
H
ow m
any
tota
l wha
les
wer
e si
ghte
d?
20 w
hal
es 5
. O
ver
the
8 da
ys t
hat
they
hav
e be
en a
t se
a, t
he p
irate
s at
e 20
fis
h ea
ch d
ay. H
ow m
any
fish
wer
e ea
ten
in a
ll?
160
fish
6.
The
pira
tes
plan
to
expl
ore
3 is
land
s w
hich
will
req
uire
wal
king
20
mile
s pe
r da
y. H
ow m
any
mile
s w
ill t
hey
have
wal
ked
if it
take
s 4
days
to
expl
ore
all 3
isla
nds?
80 m
iles
7.
Four
of
the
pira
tes
have
bee
n aw
ay a
t se
a fo
r 20
0 da
ys. H
ow
man
y da
ys t
otal
hav
e th
ese
four
pira
tes
been
aw
ay a
t se
a?
800
day
s
Prob
lem
-Sol
ving
Pra
ctic
eM
ultip
les
of 1
0, 1
00, a
nd 1
,000
7–1
4NS3
.0, 4
MR3
.2
008_
012_
C07_
L01_
1058
41.in
dd P
age
11 5
/8/1
0 5
:52:
39 P
M s-
74us
er/V
olum
es/1
06/G
O000
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3/Gr
ade_
4%0/
Appli
catio
n_Fil
es%
0/CR
M_ch
07/W
orkb
ook
Answers (Lesson 7-1)
A01_A30_C07_ANS_105841.indd Page A3 5/12/10 9:03:26 PM elhi-4A01_A30_C07_ANS_105841.indd Page A3 5/12/10 9:03:26 PM elhi-4 /Volumes/106/GO00016_r3/Grade_4%0/Application_Files%0/CRM_ch07/Answer_Key_Page/Volumes/106/GO00016_r3/Grade_4%0/Application_Files%0/CRM_ch07/Answer_Key_Page
P rinter P DF
Cop
yrig
ht ©
Mac
mill
an/M
cGra
w-H
ill, a
div
isio
n of
The
McG
raw
-Hill
Com
pani
es, I
nc.
An
swer
s
Grade 4 A4 Chapter 7
Cop
yrig
ht ©
Mac
mill
an/M
cGra
w-H
ill, a
div
isio
n of
The
McG
raw
-Hill
Com
pani
es, I
nc.
Nam
e D
ate
Gra
de 4
12
C
hapt
er 7
The
nu
mb
ers
in t
hes
e p
atte
rns
are
mu
ltip
les
of 1
0. C
onti
nu
e ea
ch
pat
tern
an
d w
rite
th
e ru
le.
1.
200,
2,
000,
20
,000
, 20
0,00
0,
2,00
0,00
0
The
rul
e is
: Mu
ltip
ly b
y 10
2.
10,
50,
250,
1,
250,
6,
250
T
he r
ule
is:
Mu
ltip
ly b
y 5
3.
9,60
0,
4,80
0,
2,40
0,
1,20
0,
600
T
he r
ule
is:
Div
ide
by
2
4.
30,
60,
120,
24
0,
480
T
he r
ule
is:
Mu
ltip
ly b
y 2
5.
3,40
0,00
0,00
0,
34,0
00,0
00,
340,
000,
34
00,
34
T
he r
ule
is: D
ivid
e b
y 10
0
Solv
e th
ese
pro
ble
ms.
Use
th
e an
swer
s to
th
e fi
ll i
n t
he
bla
nks
so
that
th
e p
arag
rap
h m
akes
sen
se.
3
× 1
=
3
3 ×
10
=
30
3 ×
100
= 30
0Ab
out
126
kind
s of
fis
h an
d 34
6 ki
nds
of m
amm
als
are
on t
he
enda
nger
ed s
peci
es li
st. T
he m
ount
ain
goril
la, o
ne o
f 3
kin
ds o
f go
rilla
s th
at li
ve in
Afr
ica,
is e
ndan
gere
d. F
ewer
tha
n 64
0 m
ount
ain
goril
las
exis
t in
the
wild
. The
y liv
e in
gro
ups
and
eat
mos
tly p
lant
s. T
he
aver
age
mal
e w
eigh
s m
ore
than
300
pou
nds
and
lives
bet
wee
n 30
and
50
year
s.
7–1
Enri
chEx
TEN
ding
Pat
tern
s
4NS3
.0, 4
MR3
.3
008_
012_
C07_
L01_
1058
41.in
dd P
age
12 5
/8/1
0 5
:52:
40 P
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er/V
olum
es/1
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O000
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3/Gr
ade_
4%0/
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catio
n_Fil
es%
0/CR
M_ch
07/W
orkb
ook
Chapter Resources
Nam
e D
ate
Gra
de 4
13
C
hapt
er 7
4MR3
.1, 4
NS3
.0
Jeff
wan
ts t
o in
vite
som
e fr
iend
s ov
er f
or d
inne
r. H
e ha
s a
larg
e re
ctan
gula
r ta
ble
and
know
s th
ere
is r
oom
to
seat
10
peop
le o
n ea
ch
of t
he lo
ng s
ides
and
4 o
n th
e tw
o en
ds o
f hi
s ta
ble.
If Je
ff w
ants
eve
ryon
e se
ated
at
the
tabl
e, h
ow m
any
frie
nds
can
he
invi
te?
Is it
rea
sona
ble
for
him
to
invi
te 4
0 pe
ople
?
Step
1:
Un
der
stan
d. W
hat
fac
ts d
o yo
u k
now
?Je
ff ca
n se
at 1
0 pe
ople
on
each
of
the
long
sid
es o
f hi
s ta
ble.
Jeff
can
seat
4 p
eopl
e on
eac
h of
the
end
s of
his
tab
le.
Jeff
wan
ts e
very
one
seat
ed a
t th
e ta
ble.
Step
2:
Pla
n. W
hat
you
nee
d t
o kn
ow?
How
man
y fr
iend
s is
it r
easo
nabl
e fo
r Je
ff to
invi
te?
Step
3:
Solv
e. W
hat
mat
h d
o yo
u n
eed
to
do?
You
need
to
figur
e ou
t th
e nu
mbe
r of
peo
ple
that
can
sit
at t
he t
able
, ba
sed
on a
ll of
the
am
ount
s th
at y
ou h
ave.
2 lo
ng s
ides
, 10
peop
le e
ach:
10
× 2
= 2
0 2
ends
, 4 p
eopl
e ea
ch: 4
× 2
= 8
Add
the
amou
nts:
20
+ 8
= 2
8 pe
ople
can
sit
at t
he t
able
.
Step
4:
Chec
k. S
ee i
f yo
ur
answ
er m
akes
sen
se.
Whe
n yo
u co
mpa
re th
e am
ount
that
can
sit
at th
e ta
ble,
28,
to th
e am
ount
of p
eopl
e th
at J
eff w
ants
to in
vite
, 40,
you
can
see
that
it is
not
re
ason
able
for
him
to in
vite
40
gues
ts. I
f Jef
f onl
y ha
s se
ats
for
28, h
ow
man
y fri
ends
sho
uld
he in
vite
? (R
emem
ber,
Jeff
need
s a
seat
too!
)
Use
th
e st
eps
abov
e to
sol
ve t
he
foll
owin
g p
rob
lem
.B
ritta
ny w
as g
iven
3 m
ovie
s to
wat
ch in
her
free
tim
e. E
ach
mov
ie is
10
0 m
inut
es lo
ng. B
ritta
ny h
as 7
0 m
inut
es t
o re
lax
befo
re s
he g
oes
to w
ork
ever
y da
y, M
onda
y th
roug
h Fr
iday
. Is
it re
ason
able
for
her
to
expe
ct t
o w
atch
all
thre
e m
ovie
s, s
tart
ing
Mon
day
and
endi
ng o
n Fr
iday
?
Rete
ach
Prob
lem
–Sol
ving
Ski
ll: R
easo
nabl
e A
nsw
ers
7–2
013_
017_
C07
_L02
_105
841.
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e 13
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11:
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lhi-4
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umes
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0001
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de_4
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licat
ion_
File
s%0/
CR
M_c
h07/
Wor
kboo
k
Answers (Lessons 7-1 and 7-2)
A01_A30_C07_ANS_105841.indd Page A4 5/12/10 9:03:28 PM elhi-4A01_A30_C07_ANS_105841.indd Page A4 5/12/10 9:03:28 PM elhi-4 /Volumes/106/GO00016_r3/Grade_4%0/Application_Files%0/CRM_ch07/Answer_Key_Page/Volumes/106/GO00016_r3/Grade_4%0/Application_Files%0/CRM_ch07/Answer_Key_Page
P rinter P DF
Copyright ©
Macm
illan/McG
raw-H
ill, a division of The M
cGraw
-Hill C
ompanies, Inc.
Grade 4 A5 Chapter 7
Copyright ©
Macm
illan/McG
raw-H
ill, a division of The M
cGraw
-Hill C
ompanies, Inc.
Nam
e D
ate
Gra
de 4
14
C
hapt
er 7
4MR3
.1, 4
NS3
.0
Step
1:
Un
der
stan
d. W
hat
fac
ts d
o yo
u k
now
?B
ritt
any
has
70
min
ute
s to
rel
ax f
or 5
day
s.B
ritt
any
has
3 m
ovie
s to
wat
ch.
Each
mov
ie i
s 10
0 m
inu
tes
lon
g.St
ep 2
: P
lan
. Wh
at y
ou n
eed
to
know
?
Is it
rea
sona
ble
for
Bri
ttan
y to
exp
ect
to w
atch
all
thre
e m
ovie
s in
fiv
e da
ys?
Step
3:
Solv
e. W
hat
mat
h d
o yo
u n
eed
to
do?
Fin
d o
ut
Bri
ttan
y’s
tota
l m
inu
tes
of
free
tim
e b
y m
ult
iply
ing
70 ×
5 =
35
0 m
inu
tes
Figu
re o
ut t
he t
otal
min
utes
it w
ill t
ake
to w
atch
all
thre
e m
ovie
s.
100
× 3
= 3
00 m
inu
tes
Step
4:
Chec
k. S
ee i
f yo
ur
answ
er m
akes
sen
se.
Com
par
e. T
he
300
min
ute
s th
at i
t w
ill t
ake
tow
atch
th
e m
ovie
s is
les
s th
an B
ritt
any’
s to
tal
free
tim
e, s
o ye
s, h
er p
lan
is
reas
onab
le.
Dec
ide
wh
eth
er e
ach
an
swer
is
reas
onab
le. E
xpla
in y
our
reas
onin
g.
1.
Sand
y ow
ns h
er o
wn
pizz
a re
stau
rant
. Her
pro
fit is
abo
ut $
2,00
0 a
wee
k. S
he n
eeds
to
put
asid
e $4
00 a
wee
k fo
r ta
xes.
Is it
r
easo
nabl
e fo
r he
r to
spe
nd $
1,90
0 a
wee
k? n
o, $
1,60
0 2
. Sa
ndy
wor
ks 5
day
s a
wee
k. H
er t
otal
num
ber
of h
ours
eac
h w
eek
is 5
0. Is
it r
easo
nabl
e to
say
tha
t Sa
ndy
wor
ks 7
hou
rs a
day
?
n
o, 1
0Rete
ach
(con
tinue
d)
Prob
lem
–Sol
ving
Ski
ll: R
easo
nabl
e A
nsw
ers
7–2
013_
017_
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_L02
_105
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e 14
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umes
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de_4
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licat
ion_
File
s%0/
CR
M_c
h07/
Wor
kboo
k
Chapter Resources
Nam
e D
ate
Gra
de 4
15
C
hapt
er 7
4MR3
.1, 4
NS3
.0
Dec
ide
whe
ther
eac
h an
swer
is r
easo
nabl
e. E
xpla
in y
our
reas
onin
g.
1.
Jill i
s in
cha
rge
of t
he s
choo
l fai
r th
at w
ill g
o on
for
a w
eek.
Th
ere
will
be
10 d
iffer
ent
volu
ntee
rs h
elpi
ng e
ach
day.
Is 7
0 a
reas
onab
le e
stim
ate
of t
he n
umbe
r of
peo
ple
who
are
exp
ecte
d to
vol
unte
er? ye
s; 1
0 ×
7 =
70
2.
Jill w
ill h
ave
to w
alk
hom
e fro
m th
e fa
ir ea
ch d
ay fo
r th
e w
eek.
The
fa
ir is
1 m
ile fr
om h
er h
ome.
Is it
rea
sona
ble
to s
ay th
at s
he w
ill w
alk
mor
e th
an 1
0 m
iles
befo
re th
e w
eek
is o
ver?
no,
7 m
iles
3.
Jill e
xpec
ts t
hat
the
sale
of
dona
ted
soda
will
brin
g in
abo
ut $
50
a da
y fo
r th
e w
eek.
Is it
rea
sona
ble
for
her
to e
xpec
t at
leas
t $5
00
from
sod
a sa
les
by t
he e
nd o
f th
e w
eek?
no,
$35
0 4
. Jil
l was
abl
e to
col
lect
don
atio
ns o
f ab
out
$60
a m
onth
for
the
10
mon
ths
that
she
was
pla
nnin
g th
e fa
ir. S
he s
aved
all
of t
he
mon
ey. I
n ad
ditio
n, s
he w
as g
iven
$35
0 th
at h
ad b
een
put
asid
e fr
om t
he p
revi
ous
fair.
She
nee
ds $
1,00
0 to
ren
t a
ferr
is w
heel
. Is
it r
easo
nabl
e to
say
tha
t sh
e ca
n pa
y fo
r th
e fe
rris
whe
el r
enta
l in
full?
no,
sh
e on
ly h
as $
950
Typ
es o
f P
rize
sN
um
ber
Col
lect
ed
stuf
fed
anim
als
98
plas
tic m
odel
s54
yo-y
os96
stop
wat
ches
49
5.
The
tabl
e ab
ove
show
s th
e nu
mbe
rs o
f di
ffere
nt p
rizes
Jill
co
llect
ed f
or t
he f
air.
Is it
rea
sona
ble
for
her
to s
ay t
hat
she
has
clos
e to
300
priz
es t
o gi
ve t
o th
ose
who
win
gam
es?
yes,
297
pri
zes
is c
lose
to
300
pri
zes
6.
Jill h
as s
pent
a t
otal
of
6,00
0 m
inut
es o
rgan
izin
g th
e fa
ir. Is
it
reas
onab
le f
or h
er t
o cl
aim
tha
t sh
e or
gani
zed
the
fair
in u
nder
1
0 ho
urs?
no,
it
has
tak
en h
er 1
00 h
ours
Skill
s Pr
acti
cePr
oble
m–S
olvi
ng S
kill:
Rea
sona
ble
Ans
wer
s
7–2
013_
017_
C07
_L02
_105
841.
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e 15
5/7
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10:
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lhi-4
/Vol
umes
/106
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0001
6_r3
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de_4
%0/
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licat
ion_
File
s%0/
CR
M_c
h07/
Wor
kboo
k
Answers (Lesson 7-2)
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yrig
ht ©
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mill
an/M
cGra
w-H
ill, a
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isio
n of
The
McG
raw
-Hill
Com
pani
es, I
nc.
An
swer
s
Grade 4 A6 Chapter 7
Cop
yrig
ht ©
Mac
mill
an/M
cGra
w-H
ill, a
div
isio
n of
The
McG
raw
-Hill
Com
pani
es, I
nc.
Nam
e D
ate
Gra
de 4
16
C
hapt
er 7
4MR3
.1, 4
NS3
.0
Dec
ide
whe
ther
eac
h an
swer
is r
easo
nabl
e. E
xpla
in y
our
reas
onin
g.
1.
Sam
tra
vels
fro
m B
altim
ore
to B
osto
n ea
ch y
ear.
It ta
kes
him
10
hou
rs t
o ge
t to
Bos
ton.
He
stop
s 3
times
, for
an
hour
eac
h tim
e. If
he
only
sto
pped
onc
e, is
it r
easo
nabl
e to
say
tha
t he
cou
ld
get
ther
e in
6 h
ours
? no
, it
wou
ld t
ake
8 ho
urs
2.
The
tabl
e be
low
sho
ws
Sam
’s e
xpen
ses
for
his
trip
to
Bos
ton.
Was
it
reas
onab
le f
or S
am t
o sa
y th
at t
he t
rip c
ost
him
clo
se t
o $4
00?
yes,
$39
1 Exp
ense
sA
mou
nt
Spen
t
Food
$103
Gas
$252
Tolls
$36
3.
Writ
e a
prob
lem
tha
t w
ould
hav
e $1
,000
as
a re
ason
able
ans
wer
.
You
get
pai
d $
100
a m
onth
for
a y
ear.
You
spen
d $
200
on c
loth
es a
nd
sav
e th
e re
st. I
s it
reas
onab
le t
o sa
y th
at y
ou h
ave
$1,0
00 s
aved
?
Mul
tipl
y. U
se m
enta
l mat
h. (
Less
on 7
–1)
4.
2 ×
4,0
00 =
8,
000
5.
3 ×
80
=
240
6.
9 ×
600
= 5,
400
7.
4 ×
5,0
00 =
20,
000
8.
5 ×
50
=
250
9.
6 ×
900
= 5,
400
10.
6 ×
200
= 1,
200
11
. 8
× 1
,000
= 8,
000
12.
9 ×
30
=
270
13
. 5
× 7
0 =
35
0A
LGEB
RA
Fin
d t
he
valu
e of
eac
h v
aria
ble
.
14.
n ×
20
= 6
0 n
= 3
15.
t ×
8 =
56,
000
t =
7,0
00
Hom
ewor
k Pr
acti
cePr
oble
m–S
olvi
ng S
kill:
Rea
sona
ble
Ans
wer
s
7–2
013_
017_
C07
_L02
_105
841.
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e 16
5/7
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11:
03:5
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umes
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de_4
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licat
ion_
File
s%0/
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M_c
h07/
Wor
kboo
k
Chapter Resources
Nam
e D
ate
Gra
de 4
17
C
hapt
er 7
4MR3
.1, 4
NS3
.0
12
34
89
105
67
11
1516
1712
1314
18
2223
2419
2021
25
2930
3126
2728
OC
TO
BE
RS
MT
WT
FS
Toda
y is
Tue
sday
and
Sco
tt h
as a
boo
k re
port
due
a w
eek
from
nex
t Fr
iday
. His
fav
orite
sto
ries
are
scie
nce
fictio
n.
1.
If Sc
ott
star
ts r
eadi
ng a
72-
page
boo
k on
Tue
sday
, and
he
read
s 9
page
s ev
ery
day,
on
wha
t da
y of
the
wee
k w
ill h
e fin
ish
read
ing
the
book
?
on t
he
eigh
th d
ay, w
hic
h i
s th
e fo
llow
ing
Tues
day
2.
Wha
t if
Scot
t re
ads
10 p
ages
a d
ay?
He
wil
l st
ill
fin
ish
th
e b
ook
on t
he
foll
owin
gTu
esd
ay, b
ut
he’
ll r
ead
on
ly 2
pag
es t
hat
day
. 3
. O
n Th
ursd
ay, O
ctob
er 2
, Sco
tt’s
tea
cher
ann
ounc
ed t
hat
thre
e bo
ok r
epor
ts w
ere
due
by t
he e
nd o
f th
e m
onth
– o
n ea
ch o
f th
e da
tes
that
is a
mul
tiple
of
ten.
On
wha
t da
ys a
nd d
ates
are
the
bo
ok r
epor
ts d
ue?
Day
D
ate
Frid
ay
O
ctob
er 1
0
Mon
day
O
ctob
er 2
0
Thu
rsd
ay
O
ctob
er 3
0
Enri
chB
ook
Rep
orts
7–2
013_
017_
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_L02
_105
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e 17
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umes
/106
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0001
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de_4
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licat
ion_
File
s%0/
CR
M_c
h07/
Wor
kboo
k
Answers (Lesson 7-2)
A01_A30_C07_ANS_105841.indd Page A6 5/12/10 9:03:31 PM elhi-4A01_A30_C07_ANS_105841.indd Page A6 5/12/10 9:03:31 PM elhi-4 /Volumes/106/GO00016_r3/Grade_4%0/Application_Files%0/CRM_ch07/Answer_Key_Page/Volumes/106/GO00016_r3/Grade_4%0/Application_Files%0/CRM_ch07/Answer_Key_Page
P rinter P DF
Copyright ©
Macm
illan/McG
raw-H
ill, a division of The M
cGraw
-Hill C
ompanies, Inc.
Grade 4 A7 Chapter 7
Copyright ©
Macm
illan/McG
raw-H
ill, a division of The M
cGraw
-Hill C
ompanies, Inc.
Nam
e D
ate
Gra
de 4
18
C
hapt
er 7
7–3
4NS3
.0, 4
NS1
.3
To e
stim
ate
prod
ucts
, rou
nd n
umbe
rs. T
hen
use
basi
c fa
cts
and
mul
tiply
.Lo
ok a
t th
e nu
mbe
r lin
es b
elow
. 45
67
89
100
12
3
5060
7080
9010
010
2030
40
500
600
700
800
900
1,00
010
020
030
040
0
One
s
Tens
Hun
dred
s
Whe
n a
num
ber
is h
alfw
ay b
etw
een
two
num
bers
, rou
nd u
p.
Rou
nd
th
e gr
eate
r fa
ctor
to
its
grea
test
pla
ce.
Use
bas
ic f
acts
an
d
mu
ltip
ly.
1.
59 ×
560
× 5
300
2.
579
× 4
600
× 4
2,40
0 3
. 78
8 ×
380
0 ×
32,
400
4.
6,22
2 ×
66,
000
× 6
36,0
00 5
. 8,
951
× 4
9,00
0 ×
436
,000
6.
42 ×
740
× 7
280
7.
6,45
0 ×
86,
000
× 8
48,0
00 8
. 68
3 ×
470
0 ×
42,
800
9.
7,39
5 ×
37,
000
× 3
21,0
00
Rete
ach
Use
Rou
ndin
g to
Est
imat
e Pr
oduc
ts
Rem
embe
r to
rou
nd
the
grea
ter
fact
or t
o its
gre
ates
t pl
ace.
Sam
ple
es
tim
ates
ar
e gi
ven
. A
ccep
t al
l re
ason
able
es
tim
ates
.
018_
022_
C07
_L03
_105
841.
indd
Pag
e 18
5/1
1/10
7:0
5:36
PM
elh
i-4/V
olum
es/1
06/G
O00
016_
r3/G
rade
_4%
0/A
pplic
atio
n_F
iles%
0/C
RM
_ch0
7/W
orkb
ook
Chapter Resources
Nam
e D
ate
Gra
de 4
19
C
hapt
er 7
7–3
4NS3
.0, 4
NS1
.3
Esti
mat
e ea
ch p
rod
uct
.
Solv
e.
29.
The
ambu
lanc
e w
orke
rs o
rder
6 f
irst
aid
kits
. Eac
h ki
t co
sts
$39.
Ab
out
how
muc
h do
es it
cos
t fo
r 6
kits
?
6 ×
$40
= $
240
30.
An a
mbu
lanc
e tr
avel
s ab
out
386
mile
s a
day.
Abo
ut h
ow m
any
mile
s do
es it
tra
vel i
n a
wee
k?
400
mil
es ×
7 =
2,8
00 m
iles
Skill
s Pr
acti
ceU
se R
ound
ing
to E
stim
ate
Prod
ucts
1.
5 ×
21
=
5 ×
20
= 1
00
2.
3 ×
39
=
3 ×
40
= 1
20
3.
7 ×
$46
=
7 ×
$50
= $
350
4.
85 ×
6 =
90
× 6
= 5
40
5.
17 ×
9 =
20
× 9
= 1
80
6.
81 ×
3 =
80
× 3
= 2
40
7.
2 ×
$29
8 =
2
× $
300
= $
600
8.
4 ×
305
=
4 ×
300
= 1
,200
9.
478
× 6
=
500
× 6
= 3
,000
10.
5 ×
784
=
5 ×
800
= 4
,000
11.
612
× 9
=
600
× 9
= 5
,400
12.
6 ×
556
=
6 ×
600
= 3
,600
13.
2 ×
1,9
87 =
2
× 2
,000
= 4
,000
14.
3 ×
$2,
126
= 3
× $
2,00
0 =
$6,
000
15.
7 ×
1,9
05 =
7
× 2
,000
= 1
4,00
0
16.
8 ×
3,4
95 =
8
× 3
,000
= 2
4,00
0
17.
4,72
3 ×
4 =
5,
000
× 4
= 2
0,00
0
18.
5 ×
$7,
118
= 5
× $
7,00
0 =
$35
,000
19.
41 ×
6 =
40
× 6
= 2
40
20.
28 ×
7 =
30
× 7
= 2
10
21.
96 ×
2 =
10
0 ×
2 =
200
22.
17 ×
8 =
20
× 8
= 1
60
23.
31 ×
9 =
30
× 9
= 2
70
24.
255
× 4
=
300
× 4
= 1
,200
25.
488
× 3
=
500
× 3
= 1
,500
26.
563
× 5
=
600
× 5
= 3
,000
27.
2,30
7 ×
5 =
2,
000
× 5
= 1
0,00
0
28.
7,59
6 ×
6 =
8,
000
× 6
= 4
8,00
0
Sam
ple
est
imat
es a
re g
iven
. A
ccep
t al
l re
ason
able
est
imat
es.
018_
022_
C07
_L03
_105
841.
indd
Pag
e 19
5/1
1/10
7:0
5:46
PM
elh
i-4/V
olum
es/1
06/G
O00
016_
r3/G
rade
_4%
0/A
pplic
atio
n_F
iles%
0/C
RM
_ch0
7/W
orkb
ook
Answers (Lesson 7-3)
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P rinter P DF
Cop
yrig
ht ©
Mac
mill
an/M
cGra
w-H
ill, a
div
isio
n of
The
McG
raw
-Hill
Com
pani
es, I
nc.
An
swer
s
Grade 4 A8 Chapter 7
Cop
yrig
ht ©
Mac
mill
an/M
cGra
w-H
ill, a
div
isio
n of
The
McG
raw
-Hill
Com
pani
es, I
nc.
Nam
e D
ate
Gra
de 4
20
C
hapt
er 7
7–3
4NS3
.0, 4
NS1
.3
Esti
mat
e ea
ch p
rod
uct
.
1.
2 ×
36
=
2 ×
40
= 8
0
6. 5
× 4
23 =
5
× 4
00 =
2,0
00
2.
96 ×
3 =
10
0 ×
3 =
300
7.
6 ×
523
= 6
× 5
00 =
3,0
00
3.
6 ×
28
=
6 ×
30
= 1
80
8. 3
× 6
67 =
3
× 7
00 =
2,1
00
4.
68 ×
4 =
70
× 4
= 2
80
9. 2
× 3
66 =
2
× 4
00 =
800
5.
5 ×
41
=
5 ×
40
= 2
00
10.
4 ×
712
= 4
× 7
00 =
2,8
00
Solv
e.
Hom
ewor
k Pr
acti
ce
Use
Rou
ndin
g to
Est
imat
e Pr
oduc
ts
11.
An a
irlin
e pi
lot
trav
els
abou
t 6,
457
mile
s a
wee
k. A
bout
how
man
y m
iles
wou
ld s
he t
rave
l in
a m
onth
?
6,00
0 m
iles
× 4
= 2
4,00
0 m
iles
12.
If th
e L.
A. D
odge
rs w
in a
bout
21
gam
es a
mon
th, a
bout
how
man
y ga
mes
wou
ld t
hey
win
afte
r th
ree
mon
ths?
20 ×
3 =
60;
60
gam
es
Dec
ide
wh
eth
er e
ach
an
swer
is
reas
onab
le. E
xpla
in y
our
reas
onin
g. (
Less
on 7
-2)
13.
Ted
Will
iam
s ha
d ab
out
30 h
ome
runs
a s
easo
n. Is
it r
easo
nabl
e to
say
tha
t he
had
300
hom
e ru
ns w
ithin
a 6
-yea
r pe
riod?
No,
he
only
had
180
hom
e ru
ns.
14.
Roge
r C
lem
ens
pitc
hed
abou
t 16
win
ning
gam
es p
er y
ear.
Afte
r he
ha
d pl
ayed
8 y
ears
for
the
Bos
ton
Red
Sox,
is it
rea
sona
ble
to s
ay
that
he
had
abou
t 13
0 w
ins?
yes,
128
is
abou
t 13
0 w
ins.
Sam
ple
est
imat
es a
re g
iven
. A
ccep
t al
l re
ason
able
est
imat
es.
018_
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_ch0
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orkb
ook
Chapter Resources
Nam
e D
ate
Gra
de 4
21
Cha
pter
7
7–3
4NS3
.0, 4
NS1
.3Pr
oble
m-S
olvi
ng P
ract
ice
Use
Rou
ndin
g to
Est
imat
e Pr
oduc
ts
Esti
mat
e ea
ch p
rod
uct
.
1.
Each
four
th-g
rade
cla
ss h
as 2
8 st
uden
ts. T
here
are
thr
ee c
lass
es in
th
e sc
hool
. Abo
ut h
ow m
any
four
th-g
rade
stu
dent
s ar
e th
ere
in a
ll?
3×
30
= 9
0; 9
0 fo
urt
h-g
rad
e st
ud
ents
2.
Pizz
as c
ost
$11
each
. M
iss
Adam
s bu
ys 4
piz
zas.
Abo
ut h
ow m
uch
does
she
spe
nd o
n pi
zzas
?
4×
$10
= $
40
3.
Cha
d’s
fam
ily w
ants
to
buy
6 di
ffere
nt b
oard
gam
es. E
ach
boar
d ga
me
cost
s $1
7.99
. Abo
ut h
ow m
uch
will
all
of t
he
boar
d ga
mes
cos
t?
6×
$20
= $
120
4.
Hab
ib b
uys
3 bo
oks
that
cos
t $9
eac
h. A
bout
how
muc
h m
oney
do
es h
e sp
end
on b
ooks
?
3×
$10
= $
30
5.
Mr.
Bel
l buy
s 4
shirt
s th
at c
ost
$17
each
. He
has
$50
to s
pend
. D
oes
he h
ave
enou
gh m
oney
? Ex
plai
n.
4×
$20
= $
80, N
o, h
e d
oes
not
hav
e en
ough
sin
ce $
80 >
$50
.
018_
022_
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ge21
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087
/Vol
umes
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0001
6_r3
/Gra
de_4
%0/
App
licat
ion_
File
s%0/
CRM
_ch0
7/W
orkb
oo Answers (Lesson 7-3)
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PDF PASS CORRECTIONS
Copyright ©
Macm
illan/McG
raw-H
ill, a division of The M
cGraw
-Hill C
ompanies, Inc.
Grade 4 A9 Chapter 7
Copyright ©
Macm
illan/McG
raw-H
ill, a division of The M
cGraw
-Hill C
ompanies, Inc.
Nam
e D
ate
Gra
de 4
22
C
hapt
er 7
7–3
4NS3
.0, 4
NS1
.3
py g p
In t
he
cen
ter
of e
ach
flo
wer
bel
ow, y
ou w
ill
see
a ra
nge
of
pro
du
cts.
Use
you
r ro
un
din
g an
d e
stim
atio
n s
kill
s to
com
ple
te
the
mu
ltip
lica
tion
pro
ble
ms
on t
he
pet
als
so t
hat
th
e an
swer
s fa
ll i
nto
th
at r
ange
of
pro
du
cts.
Flow
er 1
3 × 4
×
5 ×
6 ×
7 ×
45
32
26
25
20
125−
150
Enri
chFl
ower
Pow
er
Rang
e of
Pro
duct
s: 1
25–1
50
5
peta
ls:
3 ×
45
4 ×
32
5 ×
26
6 ×
25
7 ×
20
Flow
er 2
6 × 7
×
8 ×
9 ×
10 ×
700−
800
120
100
95
81
75
Rang
e of
Pro
duct
s: 7
00–8
00
5
peta
ls:
6 ×
12
0
7
×
100
8 ×
95
9 ×
81
10 ×
75
018_
022_
C07_
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dd P
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ade_
4%0/
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catio
n_Fil
es%
0/CR
M_ch
07/W
orkb
ook
Chapter Resources
Nam
e D
ate
Gra
de 4
23
C
hapt
er 7
4NS3
.0, 4
MR2
.1
Step
1
Mu
ltip
ly t
he
ones
.
3
× 5
= 1
5
This
tim
e th
e pr
oduc
t of
the
one
s is
la
rger
. You
nee
d to
reg
roup
. You
hav
e 1
ten
and
5 on
es. Y
ou n
eed
to
add
th
at t
en
to t
he
oth
er t
ens.
Step
2M
ulti
ply
the
tens
. Add
the
new
ten
.
1
10
× 5
= 5
0 +
10
The
tens
(50
+ 1
0) a
dded
to
the
ones
(5
) =
65
13 ×5 513 ×5 5
13 ×5 6513 ×5 65
Step
1
Mu
ltip
ly t
he
ones
.
3 ×
3 =
9
01
23
45
67
89
Step
2M
ult
iply
th
e te
ns.
10 ×
3 =
30
010
2030
The
tens
(30
) ad
ded
to t
he o
nes
(9)
= 3
9
13 ×3 913 ×3 9
13 ×3 3913 ×3 39
Rete
ach
Mul
tiply
Tw
o-D
igit
Num
bers
Find
13
× 3
.
Firs
t, th
ink
in t
erm
s of
ten
s an
d on
es. 1
3 ha
s 1
ten
and
3 on
es.
Seco
nd, s
et u
p th
e pr
oble
m w
ith t
he g
reat
er n
umbe
r on
top
.
Solv
e th
e p
rob
lem
.
13 ×313 ×37–
4
Find
13
× 5
.Fi
rst,
thin
k in
ter
ms
of t
ens
and
ones
. 13
has
1 te
n an
d 3
ones
. Se
cond
, set
up
the
prob
lem
with
the
gre
ater
num
ber
on t
op.
13 ×5
Solv
e th
e p
rob
lem
.
Mu
ltip
ly. C
hec
k fo
r re
ason
able
nes
s.
1.
26
× 5
=
2
. 22
× 7
=
3.
45 ×
3 =
130;
30
× 5
= 1
5015
4; 2
0 ×
7 =
140
135;
50
× 3
= 1
50
023_
027_
C07
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_105
841.
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atio
n_F
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RM
_ch0
7/W
orkb
ook
Answers (Lessons 7-3 and 7-4)
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cGra
w-H
ill, a
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isio
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The
McG
raw
-Hill
Com
pani
es, I
nc.
An
swer
s
Grade 4 A10 Chapter 7
Cop
yrig
ht ©
Mac
mill
an/M
cGra
w-H
ill, a
div
isio
n of
The
McG
raw
-Hill
Com
pani
es, I
nc.
Nam
e D
ate
Gra
de 4
24
C
hapt
er 7
4NS3
.0, 4
MR2
.1
1.
21 ×
7 =
147
2.
38 ×
5 =
190
3.
54 ×
2 =
108
4.
49 ×
6 =
294
5.
17 ×
4 =
68
6.
25 ×
9 =
225
7.
53 ×
4 =
212
8.
28 ×
7 =
196
9.
61 ×
8 =
488
10.
39 ×
2 =
78
11.
62 ×
2 =
124
12.
38 ×
4 =
152
13.
91 ×
3 =
273
14.
46 ×
5 =
230
15.
78 ×
6 =
468
Skill
s Pr
acti
ceM
ultip
ly T
wo-
Dig
it N
umbe
rs
7–4
31.
Look
bac
k ov
er t
his
page
and
circ
le e
very
pro
duct
gre
ater
tha
n 30
0.
S
ee s
tud
ents
’ wor
k.
Mul
tipl
y.
16.
98 ×
5 =
490
17.
76 ×
6 =
456
18.
24 ×
9 =
216
19.
56 ×
7 =
392
20.
48 ×
8 =
384
21.
66 ×
6 =
396
22.
77 ×
7 =
539
23.
94 ×
3 =
282
24.
59 ×
4 =
236
25.
44 ×
9 =
396
26.
24 ×
7 =
168
27.
19 ×
8 =
152
28.
67 ×
5 =
335
29.
84 ×
4 =
336
30.
91 ×
2 =
182
023_
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841.
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de_4
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licat
ion_
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s%0/
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M_c
h07/
Wor
kboo
k
Chapter Resources
Nam
e D
ate
Gra
de 4
25
C
hapt
er 7
4NS3
.0, 4
MR2
.1
Solv
e.
17.
A re
ctan
gle
is 5
tile
s w
ide
by 1
3 til
es h
igh.
How
man
y til
es a
re in
th
e re
ctan
gle?
65
til
es 18
. B
ooks
are
sta
cked
in 3
sta
cks
with
17
book
s in
eac
h st
ack.
How
m
any
book
s ar
e in
the
sta
cks?
51 b
ooks
Esti
mat
e ea
ch p
rod
uct
. (Le
sson
7-3
)
Hom
ewor
k Pr
acti
ceM
ultip
ly T
wo-
Dig
it N
umbe
rs
7–4
1.
73 ×
3 =
219
3.
44 ×
5 =
220
5.
31 ×
7 =
217
7.
68 ×
8 =
544
9.
32 ×
9 =
288
11.
65 ×
5 =
325
13.
33 ×
6 =
198
15.
96 ×
3 =
288
2.
88 ×
4 =
352
4.
74 ×
5 =
370
6.
85 ×
4 =
340
8.
77 ×
6 =
462
10.
97 ×
2 =
194
12.
66 ×
8 =
528
14.
94 ×
3 =
282
16.
59 ×
7 =
413
Mu
ltip
ly.
19.
89 ×
2 =
90
× 2
= 1
80
21.
6 ×
105
=
100
× 6
= 6
00
23.
4 ×
209
=
200
× 4
= 8
00
20.
396
× 4
= 4
00 ×
4 =
1,6
00
22.
3 ×
412
= 4
00 ×
3 =
1,2
00
24.
3 ×
970
= 1
,000
× 3
= 3
,000
Solv
e.
25.
A fo
otba
ll pl
ayer
run
s ab
out
104
yard
s ea
ch g
ame.
Afte
r he
has
pla
yed
2 ga
mes
, abo
ut h
ow m
any
yard
s ha
s he
run
? A
bou
t 20
0 ya
rds
023_
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umes
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0001
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de_4
%0/
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licat
ion_
File
s%0/
CR
M_c
h07/
Wor
kboo
k
Answers (Lesson 7-4)
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P rinter P DF
Copyright ©
Macm
illan/McG
raw-H
ill, a division of The M
cGraw
-Hill C
ompanies, Inc.
Grade 4 A11 Chapter 7
Copyright ©
Macm
illan/McG
raw-H
ill, a division of The M
cGraw
-Hill C
ompanies, Inc.
Nam
e D
ate
Gra
de 4
26
C
hapt
er 7
4NS3
.0, 4
MR2
.1
1.
Ther
e ar
e 3
bird
s on
the
gro
und.
Eac
h bi
rd e
ats
10 w
orm
s. H
ow
man
y w
orm
s ar
e ea
ten
all t
oget
her?
3
0 w
orm
s 2
. Si
mon
has
12
CD
s. H
e bu
rns
3 co
pies
of
each
. How
man
y C
Ds
did
Sim
on m
ake?
3
6 CD
s 3
. Th
e sc
hool
aud
itoriu
m h
as 4
row
s of
sea
ts. T
here
are
18
seat
s in
ea
ch r
ow. H
ow m
any
stud
ents
can
sit
in t
he a
udito
rium
?
7
2 st
ud
ents
4.
The
scho
ol c
afet
eria
has
6 r
ows
of t
able
s. E
ach
row
has
22
plac
es
to s
it. H
ow m
any
stud
ents
can
eat
in t
he s
choo
l caf
eter
ia?
13
2 st
ud
ents
5.
Scot
t is
pla
ying
a g
ame
of m
emor
y w
ith s
ome
pict
ure
card
s. H
e m
akes
4 r
ows
and
puts
23
card
s in
eac
h ro
w. H
ow m
any
pict
ure
card
s is
Sco
tt u
sing
in t
his
gam
e?
9
2 p
ictu
re c
ard
s 6
. Ka
te w
ould
like
to
play
the
mem
ory
gam
e, t
oo. S
he a
dds
her
card
s to
the
gam
e. N
ow, t
here
are
8 r
ows,
and
24
card
s in
eac
h ro
w.
How
man
y ca
rds
are
ther
e no
w?
1
92 c
ard
s 7
. Jo
hn w
ants
to
buy
birt
hday
gift
s fo
r 8
frie
nds.
He
can
spen
d $1
9 fo
r ea
ch g
ift. H
ow m
uch
will
he
spen
d in
all?
$
152
8.
Car
olin
e m
akes
$5
an h
our
pet-
sitt
ing
for
the
neig
hbor
s. L
ast
sum
mer
she
wor
ked
31 h
ours
. How
muc
h m
oney
did
Car
olin
e ea
rn?
$
155
7–4
Prob
lem
-Sol
ving
Pra
ctic
eM
ultip
ly T
wo-
Dig
it N
umbe
rs
Solv
e.
023_
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ade_
4%0/
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catio
n_Fil
es%
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M_ch
07/W
orkb
ook
Chapter Resources
Nam
e D
ate
Gra
de 4
27
C
hapt
er 7
4NS3
.0, 4
MR2
.1
Use
th
e cl
ues
to
figu
re o
ut
each
fac
tor.
Wri
te t
hem
in
th
e tw
o to
p
box
es. T
hen
mu
ltip
ly a
nd
wri
te t
he
pro
du
ct i
n t
he
thir
d b
ox.
1.
Prim
e nu
mbe
r be
twee
n 25
and
30
×
O
dd n
umbe
r gr
eate
r th
an 6
and
div
isib
le b
y 3
2.
Lett
ers
in “
mul
tiplic
atio
n” ×
Qua
rts
in a
gal
lon
3.
Squa
re n
umbe
r cl
ose
to 5
0 ×
Hal
f a
doze
n
4.
Inch
es in
a y
ard
× D
ays
in a
wee
k
5.
Five
tim
es e
leve
n ×
Sid
es o
f an
oct
agon
Enri
chW
hat’s
the
Pro
blem
?
7–4
299 261
496 294
144 56
367 252
558 440
023_
027_
C07_
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41.in
dd P
age
27 5
/8/1
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:51:
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74us
er/V
olum
es/1
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O000
16_r
3/Gr
ade_
4%0/
Appli
catio
n_Fil
es%
0/CR
M_ch
07/W
orkb
ook
Answers (Lesson 7-4)
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P rinter P DF
Cop
yrig
ht ©
Mac
mill
an/M
cGra
w-H
ill, a
div
isio
n of
The
McG
raw
-Hill
Com
pani
es, I
nc.
An
swer
s
Grade 4 A12 Chapter 7
Cop
yrig
ht ©
Mac
mill
an/M
cGra
w-H
ill, a
div
isio
n of
The
McG
raw
-Hill
Com
pani
es, I
nc.
Nam
e D
ate
Gra
de 4
28
C
hapt
er 7
4MR1
.0, 4
NS3
.0Re
teac
hPr
oble
m-S
olvi
ng In
vest
igat
ion
Choo
se t
he
Bes
t St
rate
gy
Her
e ar
e fiv
e pr
oble
m-s
olvi
ng s
trat
egie
s an
d tip
s on
how
to
use
them
.
Stra
tegy
How
to
Use
It
Use
th
e fo
ur-
step
pla
nU
nder
stan
d th
e fa
cts.
Pla
n yo
ur
stra
tegy
. Sol
ve t
he p
robl
em u
sing
the
st
rate
gy. C
heck
you
r w
ork.
Dra
w a
pic
ture
Cre
ate
a pi
ctur
e fr
om t
he w
ords
in
the
prob
lem
to
help
you
fin
d th
e an
swer
.Lo
ok f
or a
pat
tern
Spot
whe
ther
the
re is
som
ethi
ng in
th
e pr
oble
m t
hat
repe
ats
or lo
oks
the
sam
e.M
ake
a ta
ble
Org
aniz
e da
ta b
y m
akin
g a
tabl
e w
ith
colu
mns
for
eac
h ca
tego
ry a
nd r
ows
for
each
num
ber.
Fill
in t
he n
umbe
rs
to s
olve
the
pro
blem
.W
ork
bac
kwar
dSt
art
with
the
info
rmat
ion
give
n in
the
pr
oble
m. T
hen
use
subt
ract
ion
to f
ind
the
answ
er t
o th
e pr
oble
m.
Use
an
y st
rate
gy s
how
n b
elow
to
solv
e. T
ell
wh
at s
trat
egy
you
use
d.
•
Use
the
fou
r-st
ep p
lan
• M
ake
a ta
ble
•
Dra
w a
pic
ture
•
Wor
k ba
ckw
ard
•
Look
for
a p
atte
rn
1.
Bob
wan
ts t
o tr
eat
his
3 fr
iend
s to
rid
es a
t an
am
usem
ent
park
. All-
day
pass
es c
ost
$10.
Wha
t w
ill B
ob h
ave
to p
ay
for
him
self
and
his
frie
nds
to g
o on
the
rid
es a
ll da
y?
$40;
fou
r-st
ep p
lan
7–5
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Chapter Resources
Nam
e D
ate
Gra
de 4
29
C
hapt
er 7
4MR1
.0, 4
NS3
.0
Copygt©aca/cGaw,advsooecGawCopaes,c.
2.
Russ
is s
ettin
g up
his
sci
ence
pro
ject
abo
ut t
he s
eash
ore
at t
he
fair.
He
has
seve
ral r
ocks
at
the
edge
of
the
wat
er, o
n th
e rig
ht
side
of
the
disp
lay.
He
has
sand
on
the
left
side
. Fiv
e st
arfis
h ar
e on
the
rig
ht s
ide
of t
he r
ocks
, tou
chin
g th
e w
ater
. Are
the
sta
rfis
h ne
xt t
o th
e sa
nd?
N
o, t
hey
are
on
th
e ri
ght
sid
e, t
he
rock
s ar
e in
bet
wee
n t
he
san
d a
nd
th
est
arfi
sh. D
raw
a P
ictu
re 3
. Fi
ll in
the
mis
sing
num
ber.
3, 6
, 12,
24,
, 9
6, 1
9248
; lo
ok f
or a
pat
tern
4.
Ther
e ar
e 5
mar
bles
in e
ach
bag.
How
man
y m
arbl
es
do y
ou h
ave
if yo
u ar
e gi
ven
10 b
ags
of r
ed m
arbl
es,
12 b
ags
of y
ello
w m
arbl
es, a
nd 8
bag
s of
blu
e m
arbl
es?
150;
mak
e a
tab
le 5
. M
ary
now
has
5 p
airs
of
snea
kers
. Her
frie
nd g
ave
her
1 w
hite
pai
r ye
ster
day.
Her
mom
bou
ght
her
new
pin
k on
es
this
mor
ning
. How
man
y pa
irs d
id s
he h
ave
orig
inal
ly?
3 p
airs
; w
ork
bac
kwar
d
6.
Han
k is
pla
ntin
g pe
pper
pla
nts.
In t
he f
irst
row
, he
plan
ts 1
pep
per.
In t
he s
econ
d ro
w, h
e pl
ants
2. I
n th
e th
ird r
ow, h
e pl
ants
4. I
n th
e fo
urth
row
he
plan
ts
8. H
ow m
any
pepp
ers
will
he
plan
t in
the
six
th r
ow?
32;
look
for
a p
atte
rn o
r m
ake
a ta
ble
7.
Now
, Jay
has
a c
olle
ctio
n of
20
base
ball
hats
. He
just
got
a
new
one
on
a sc
hool
trip
. Las
t w
eek,
his
fat
her’s
frie
nd
gave
him
6 h
ats.
How
man
y ha
ts d
id h
e ha
ve o
rigin
ally
? 13
; w
ork
bac
kwar
d 8
. Je
rry
was
late
to
scho
ol a
ll w
eek.
On
Mon
day,
Tue
sday
, and
W
edne
sday
; Jer
ry w
as 3
0 m
inut
es la
te. O
n Th
ursd
ay a
nd F
riday
he
was
50
min
utes
late
. The
prin
cipa
l tol
d hi
m t
hat
he w
ould
hav
e to
sta
y af
ter
scho
ol a
nd m
ake
up a
ll of
the
tim
e be
fore
the
end
of
the
year
. How
man
y m
inut
es w
ill J
erry
hav
e to
sta
y af
ter
scho
ol?
190
min
ute
s; m
ake
a ta
ble
Rete
ach
(con
tinue
d)
Prob
lem
-Sol
ving
Inve
stig
atio
n
7–5
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Answers (Lesson 7-5)
A01_A30_C07_ANS_105841.indd Page A12 5/12/10 9:03:43 PM elhi-4A01_A30_C07_ANS_105841.indd Page A12 5/12/10 9:03:43 PM elhi-4 /Volumes/106/GO00016_r3/Grade_4%0/Application_Files%0/CRM_ch07/Answer_Key_Page/Volumes/106/GO00016_r3/Grade_4%0/Application_Files%0/CRM_ch07/Answer_Key_Page
P rinter P DF
Copyright ©
Macm
illan/McG
raw-H
ill, a division of The M
cGraw
-Hill C
ompanies, Inc.
Grade 4 A13 Chapter 7
Copyright ©
Macm
illan/McG
raw-H
ill, a division of The M
cGraw
-Hill C
ompanies, Inc.
Answers (Lesson 7-5)
Nam
e D
ate
Gra
de 4
30
C
hapt
er 7
4MR1
.0, 4
NS3
.0
py g p
Pro
ble
m-S
olvi
ng
Stra
tegi
es
•
Dra
w a
pic
ture
•
Mak
e a
tabl
e
• Lo
ok f
or a
pat
tern
•
Wor
k ba
ckw
ard
Use
an
y st
rate
gy s
how
n a
bov
e to
sol
ve. T
ell
wh
at s
trat
egy
you
use
d.
1.
Fred
is b
uyin
g so
da a
nd s
nack
s fo
r a
scho
ol e
vent
. He
has
to w
alk
to t
he s
tore
and
can
onl
y ca
rry
a lim
ited
amou
nt a
t on
e tim
e. H
e w
alke
d to
the
sto
re 4
tim
es. T
he f
irst
time
he b
roug
ht b
ack
10
item
s, t
he s
econ
d tim
e 32
, the
thi
rd t
ime
12, a
nd t
he la
st t
ime
15.
How
man
y ite
ms
did
he p
urch
ase?
mak
e a
tab
le;
69 i
tem
s 2
. Jo
e is
bui
ldin
g a
stor
age
shed
. He
need
s 20
0 na
ils f
or e
ach
one
of
the
4 si
des,
500
nai
ls f
or t
he r
oof,
100
nails
for
the
doo
r, an
d 20
0 na
ils f
or t
he s
teps
. How
man
y na
ils w
ill h
e ne
ed in
all?
mak
e a
tab
le;
1,60
0 n
ails
3.
Andy
is c
reat
ing
a de
sign
usi
ng c
olor
ed s
hape
s. H
e is
sta
rtin
g w
ith a
tria
ngle
and
end
ing
with
ano
ther
tria
ngle
. In
betw
een
the
tria
ngle
s, h
e ha
s a
circ
le t
o th
e le
ft of
a s
quar
e. W
hat
does
the
de
sign
look
like
?
d
raw
a p
ictu
re o
r lo
ok f
or a
pat
tern
;tr
iang
le, c
ircl
e, s
qu
are,
tri
angl
e 4
. G
ary
rake
s le
aves
. The
firs
t da
y, h
e fil
ls 6
bag
s. T
he s
econ
d da
y, h
e fil
ls 8
bag
s. T
he t
hird
day
, he
fills
10
bags
of
leav
es. I
f th
is p
atte
rn
cont
inue
s, h
ow m
any
bags
will
he
fill o
n th
e fo
urth
day
?
look
for
a p
atte
rn;
12 b
ags
5.
Sher
ri no
w h
as 2
5 pa
irs o
f ear
rings
. Las
t w
eek
she
was
giv
en 2
pai
rs
for
her
birt
hday
. Jus
t ye
ster
day,
her
old
er s
iste
r ga
ve h
er 2
set
s of
ea
rrin
gs. H
ow m
any
sets
of
earr
ings
did
she
hav
e or
igin
ally
?
wor
k b
ackw
ard
, 21
sets
Skill
s Pr
acti
cePr
oble
m-S
olvi
ng In
vest
igat
ion
7-5
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orkb
ook
Chapter Resources
Nam
e D
ate
Gra
de 4
31
C
hapt
er 7
4MR1
.0, 4
NS3
.0
Use
an
y st
rate
gy t
o so
lve.
1.
Joe
has
5 ne
w n
oteb
ooks
for
sch
ool.
Two
of t
hose
not
eboo
ks h
ave
3 se
ctio
ns a
nd t
hree
hav
e 5
sect
ions
. Joe
nee
ds 2
0 se
ctio
ns in
all.
Doe
s he
hav
e en
ough
? ye
s, h
e h
as 2
1 2
. Ea
ch c
lass
use
s 1,
000
shee
ts o
f pa
per
ever
y w
eek.
The
sch
ool u
ses
a to
tal o
f 9,
000
shee
ts o
f pa
per
ever
y w
eek.
How
man
y cl
asse
s ar
e
in t
he s
choo
l? 9
cla
sses
3.
Writ
e a
prob
lem
tha
t yo
u ca
n so
lve
by lo
okin
g fo
r a
patt
ern.
Ex
plai
n th
e pa
tter
n yo
u us
ed.
Jill
cal
led
4 f
rien
ds
and
tol
d t
hem
sh
e w
asm
ovin
g. E
ach
of
her
fri
end
s ca
lled
4 d
iffe
ren
tp
eop
le a
nd
tol
d t
hem
to
say
good
bye
to
Jill
. H
ow m
any
peo
ple
kn
ow t
hat
Jil
l is
mov
ing?
4 ×
4 +
th
e or
igin
al 4
+ J
ill
= 2
1
Mu
ltip
ly. (
Less
on 7
-4)
4.
55 ×
5 =
275
10
. 4
× 5
2 =
208
16
. 9
× 2
2 =
198
5.
75 ×
6 =
450
11
. 63
× 7
= 4
41
17.
72 ×
8 =
576
6.
8 ×
47
= 3
76
12.
29 ×
9 =
261
18
. 33
× 5
= 1
65 7
. 6
× 3
9 =
234
13
. 32
× 5
= 1
60
19.
2 ×
90
= 1
80 8
. 2
× 9
8 =
196
14
. 4
× 6
0 =
240
9.
84 ×
6 =
504
15
. 66
× 8
= 5
28So
lve.
20.
Ther
e ar
e 26
tea
ms
in t
he b
aske
tbal
l lea
gue.
Eac
h te
am h
as
9 pl
ayer
s on
its
rost
er. H
ow m
any
play
ers
are
ther
e al
l tog
ethe
r?
234
pla
yers
7–5
Hom
ewor
k Pr
acti
cePr
oble
m-S
olvi
ng In
vest
igat
ion
028_
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841.
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e 31
5/7
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11:
07:5
8 A
M e
lhi-4
/Vol
umes
/106
/GO
0001
6_r3
/Gra
de_4
%0/
App
licat
ion_
File
s%0/
CR
M_c
h07/
Wor
kboo
k
A01_A30_C07_ANS_105841.indd Page A13 5/12/10 9:03:44 PM elhi-4A01_A30_C07_ANS_105841.indd Page A13 5/12/10 9:03:44 PM elhi-4 /Volumes/106/GO00016_r3/Grade_4%0/Application_Files%0/CRM_ch07/Answer_Key_Page/Volumes/106/GO00016_r3/Grade_4%0/Application_Files%0/CRM_ch07/Answer_Key_Page
P rinter P DF
Cop
yrig
ht ©
Mac
mill
an/M
cGra
w-H
ill, a
div
isio
n of
The
McG
raw
-Hill
Com
pani
es, I
nc.
An
swer
s
Grade 4 A14 Chapter 7
Cop
yrig
ht ©
Mac
mill
an/M
cGra
w-H
ill, a
div
isio
n of
The
McG
raw
-Hill
Com
pani
es, I
nc.
Nam
e D
ate
Gra
de 4
32
C
hapt
er 7
4MR1
.0, 4
NS3
.0
py g p
12
34
89
105
67
11
1516
1712
1314
18
2223
2419
2021
25
2930
3126
2728
OC
TO
BE
RS
MT
WT
FS
Angi
e ha
s to
sel
l 72
cale
ndar
s fo
r he
r sc
hool
fun
drai
ser.
1.
If An
gie
star
ts s
ellin
g on
Thu
rsda
y, a
nd s
he s
ells
9 c
alen
dars
eve
ry
day,
on
wha
t da
y of
the
wee
k w
ill s
he s
ell a
ll of
the
cal
enda
rs?
on t
he
eigh
th d
ay, w
hic
h i
s th
e fo
llow
ing
Thu
rsd
ay 2
. W
hat
if An
gie
sells
12
cale
ndar
s a
day?
If A
ngi
e so
ld 1
2 ca
len
dar
s a
day
sh
e w
ould
fin
ish
on
th
e si
xth
day
.O
n M
onda
y, A
ngie
’s t
each
er a
nnou
nced
tha
t th
e fu
ndra
iser
wou
ld la
st
for
a to
tal o
f 4
wee
ks. I
f An
gie
sold
at
a ra
te o
f 9
cale
ndar
s a
day,
how
m
any
wou
ld s
he s
ell b
y th
e en
d of
the
fun
drai
ser?
Use
the
wor
kshe
et
to h
elp
you
find
the
answ
er.
By
Wee
k 1 63
cal
end
ars
By
Wee
k 2 12
6 ca
len
dar
sB
y W
eek
3 18
9 ca
len
dar
sB
y W
eek
4 25
2 ca
len
dar
s
Enri
ch
Wee
kly
Sale
s
7–5
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ade_
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M_ch
07/W
orkb
ook
Chapter Resources
Nam
e D
ate
Gra
de 4
33
C
hapt
er 7
4NS3
.0, 4
MR2
.1
Mu
ltip
ly b
y fo
llow
ing
step
s.
Find
22
× 6
.
Step
1
Thin
k in
ter
ms
of t
ens
and
ones
.22
is 2
ten
s an
d 2
ones
.
Tens 2
One
s
2
Step
2
Mul
tiply
the
one
s.
→
Tens 2
One
s
2 6
1
22
×
6
6
× 2
1
2 Reg
roup
12
ones
as
1 te
n +
2 o
nes.
Be
sure
to
put
the
1 in
the
ten
s co
lum
n ab
ove
the
two.
Step
3
Mul
tiply
the
ten
s.
Tens 2
One
s
2 6
→
1
2
2×
6
132
6 ×
2 t
ens
= 1
2 te
ns. A
dd t
he r
egro
uped
ten
.12
ten
s +
1 t
en =
13
tens
.Re
grou
p 13
ten
s as
1 h
undr
ed a
nd 3
ten
s.
Mu
ltip
ly.
1.
Tens 3
One
s
1 7
→
2.
Te
ns 3
One
s
5 6
→
217
217
210
210
7–6
Rete
ach
Mul
tiply
Mul
ti–D
igit
Num
bers
033_
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841.
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Pag
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Answers (Lessons 7-5 and 7-6)
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P rinter P DF
Copyright ©
Macm
illan/McG
raw-H
ill, a division of The M
cGraw
-Hill C
ompanies, Inc.
Grade 4 A15 Chapter 7
Copyright ©
Macm
illan/McG
raw-H
ill, a division of The M
cGraw
-Hill C
ompanies, Inc.
Nam
e D
ate
Gra
de 4
34
C
hapt
er 7
4NS3
.0, 4
MR2
.1
Mu
ltip
ly.
1.
114
× 6
= 6
84 2
. 26
1 ×
4 =
1,0
44 3
. 62
8 ×
8 =
5,0
24 4
. 73
9 ×
5 =
3,6
95 5
. 29
5 ×
3 =
885
6.
375
× 5
= 1
,875
7.
648
× 7
= 4
,536
8.
1,52
5 ×
6 =
9,1
50 9
. 1,
313
× 9
= 1
1,81
7 10
. 4,
512
× 5
= 2
2,56
0 11
. 6,
421
× 3
= 1
9,26
3 12
. $1
,225
× 9
= $
11,0
25
ALG
EBR
A F
ind
th
e va
lue
of e
ach
exp
ress
ion
if
t =
7.
13. t
× 3
85 =
2,6
9514
. t ×
7,4
41 =
52,
087
15.
t ×
1,1
23 =
7,8
61Co
mp
are.
Use
>, <
, or
=.
16.
396
× 4
<
5 ×
423
17.
4 ×
712
>
3 ×
412
18.
3 ×
656
<
7 ×
366
19.
6 ×
523
>
2 ×
379
20.
2 ×
961
<
8 ×
612
Skill
s Pr
acti
ceM
ultip
ly M
ulti–
Dig
it N
umbe
rs
7–6
033_
037_
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_L06
_105
841.
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e 34
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Chapter Resources
Nam
e D
ate
Gra
de 4
35
C
hapt
er 7
4NS3
.0, 4
MR2
.1
Mu
ltip
ly.
1.
416
× 6
=
2,49
6
6. 5
,216
× 6
= 31
,296
2.
293
× 5
=
1,46
5
7. $
3,59
1 ×
3 =
$1
0,77
3 3
. 15
3 ×
4 =
61
2
8. $
4,32
5 ×
9 =
$3
8,92
5 4
. 31
0 ×
3 =
93
0
9. 2
,135
× 2
=
4,27
0 5
. 2,
135
× 4
= 8
,540
10
. 5,
112
× 4
= 2
0,44
8A
LGEB
RA
Fi
nd
th
e va
lue
of e
ach
exp
ress
ion
if
n =
3.
11.
n ×
6,4
21 =
19,
263
12.
n ×
1,9
13 =
5,
739
Hom
ewor
k Pr
acti
ceM
ultip
ly M
ulti–
Dig
it N
umbe
rs
7–6
Solv
e.
13.
Ther
e ar
e 9
child
ren
in t
he s
cout
tro
op. E
ach
of t
hem
con
trib
uted
12
7 ho
urs
to c
omm
unity
cle
an-u
p pr
ojec
ts. W
hat
is t
he t
otal
nu
mbe
r of
hou
rs t
he s
cout
tro
op c
ontr
ibut
ed?
1,
143
hou
rs 14
. Fi
ve p
eopl
e do
nate
d to
the
sch
ool l
ibra
ry t
his
year
. Eac
h pe
rson
do
nate
d $2
25. H
ow m
uch
mon
ey d
id t
he li
brar
y ge
t in
don
atio
ns
this
yea
r? $
1,12
5
Use
an
y st
rate
gy t
o so
lve.
(Le
sson
7-5
)
15.
For
the
past
6 w
eeks
, fou
rth-
grad
e sa
fety
gua
rds
have
wor
ked
afte
r sc
hool
and
wai
ted
with
firs
t-gr
ade
stud
ents
unt
il th
eir
pare
nts
cam
e fo
r th
em. T
he f
irst
wee
k th
ey w
aite
d w
ith 5
firs
t-gr
ader
s,
the
seco
nd w
eek
with
7, t
he t
hird
wee
k w
ith 9
. If
the
patt
ern
cont
inue
d, h
ow m
any
first
-gra
ders
did
the
y w
ait
with
for
the
fo
urth
, fift
h, a
nd s
ixth
wee
ks? 11
, 13,
15
16.
Twen
ty b
abys
itter
s in
the
bab
ysitt
ers
club
ear
ned
a to
tal o
f $4
00
for
the
club
eac
h m
onth
. How
muc
h w
ould
40
baby
sitt
ers
earn
?
$800
033_
037_
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_L06
_105
841.
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e 35
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umes
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de_4
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licat
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k
Answers (Lesson 7-6)
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yrig
ht ©
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mill
an/M
cGra
w-H
ill, a
div
isio
n of
The
McG
raw
-Hill
Com
pani
es, I
nc.
An
swer
s
Grade 4 A16 Chapter 7
Cop
yrig
ht ©
Mac
mill
an/M
cGra
w-H
ill, a
div
isio
n of
The
McG
raw
-Hill
Com
pani
es, I
nc.
Nam
e D
ate
Gra
de 4
36
Cha
pter
7
4NS3
.0, 4
MR2
.1
Solv
e.
1.
The
first
flo
or o
f an
apa
rtm
ent
build
ing
has
spac
e fo
r 11
2 sm
all
apar
tmen
ts. T
he n
ext
5 flo
ors
are
the
sam
e. T
he f
irst
6 flo
ors
of
the
apar
tmen
t bu
ildin
g ha
ve s
pace
for
how
man
y ap
artm
ents
?
672
2.
Each
yea
r 6,
578
peop
le e
at lu
nch
in a
cer
tain
res
taur
ant.
Dur
ing
a pe
riod
of 5
yea
rs, h
ow m
any
peop
le w
ill e
at in
thi
s re
stau
rant
?
32,8
90 p
eop
le
3.
The
max
imum
num
ber
of p
eopl
e th
at c
an b
e on
the
top
of
a bu
ildin
g at
one
tim
e is
400
. By
10 A
.M. o
ne m
orni
ng t
here
ha
d al
read
y be
en 4
gro
ups
of 3
98 p
eopl
e to
the
top
. How
m
any
peop
le h
ave
been
to
the
top
of t
he b
uild
ing
alre
ady?
1,59
2 p
eop
le
4.
In o
ne g
reen
hous
e, t
here
wer
e 42
7 pl
ants
. If
ther
e w
ere
5 gr
eenh
ouse
s gr
owin
g th
e sa
me
num
ber
of
plan
ts, h
ow m
any
plan
ts w
ould
the
re b
e al
toge
ther
?
2,13
5 p
lan
ts
5.
A fa
mou
s co
ncer
t ha
ll se
ats
9,55
1 pe
ople
. Eve
ry s
eat
was
fill
ed f
or t
he 9
con
cert
s th
at t
ook
plac
e in
Jun
e. H
ow
man
y pe
ople
hea
rd a
con
cert
in t
his
conc
ert
hall
in J
une?
85,9
59 p
eop
le
6.
A ta
xi d
river
kep
t tr
ack
of h
ow m
any
peop
le w
ere
frie
ndly
to
him
in a
day
. Six
teen
peo
ple
told
him
wha
t th
ey w
ere
doin
g in
the
city
, 8 a
sked
him
if h
e ha
d a
fam
ily, 2
3 to
ld
him
wha
t th
ey li
ked
best
abo
ut t
he c
ity, a
nd 3
ask
ed if
the
y co
uld
buy
him
cof
fee.
The
tax
i driv
er w
ante
d hi
s fr
iend
s to
be
lieve
tha
t pe
ople
are
frie
ndly
, so
he t
riple
d hi
s nu
mbe
rs.
How
man
y pe
ople
did
the
tax
i driv
er s
ay w
ere
frie
ndly
to
him
?
150
peo
ple
Prob
lem
-Sol
ving
Pra
ctic
eM
ultip
ly M
ulti-
Dig
it N
umbe
rs
7–6
033_
037_
C07_
L06_
1058
41.in
ddPa
ge36
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umes
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de_4
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s%0/
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_ch0
7/W
orkb
oo
Chapter Resources
Nam
e D
ate
Gra
de 4
37
C
hapt
er 7
4NS3
.0, 4
MR2
.1
Usi
ng o
nly
1, 2
, 3, a
nd 6
to
mak
e th
ree-
digi
t nu
mbe
rs, f
ind
six
even
m
ultip
les
of t
hree
. (Yo
u m
ay n
ot r
epea
t th
ese
num
eral
s in
the
sam
eth
ree-
digi
t nu
mbe
r, so
num
bers
like
222
are
not
allo
wed
.)
Wri
te t
he
six
even
mu
ltip
les
of t
hre
e in
ord
erfr
om l
east
to
grea
test
:
1. 12
6 2
. 13
2 3
. 16
2 4
. 21
6 5
. 31
2 6.
612
Use
th
em, i
n t
hat
ord
er, t
o co
mp
lete
th
ese
mu
ltip
lica
tion
p
rob
lem
s. T
hen
sol
ve t
he
pro
ble
ms.
1.
2.
3.
×
5
630
×
6
792
×
9
1,45
8
4.
5.
6.
×
4
864
×
7
2,18
4
×
8
4,89
6
Enri
chM
ore
Mul
tiple
s
7–6
033_
037_
C07_
L06_
1058
41.in
dd P
age
37 5
/8/1
0 5
:49:
56 P
M s-
74us
er/V
olum
es/1
06/G
O000
16_r
3/Gr
ade_
4%0/
Appli
catio
n_Fil
es%
0/CR
M_ch
07/W
orkb
ook
Answers (Lesson 7-6)
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PDF PASS CORRECTIONS
Copyright ©
Macm
illan/McG
raw-H
ill, a division of The M
cGraw
-Hill C
ompanies, Inc.
Grade 4 A17 Chapter 7
Copyright ©
Macm
illan/McG
raw-H
ill, a division of The M
cGraw
-Hill C
ompanies, Inc.
Nam
e D
ate
Gra
de 4
38
C
hapt
er 7
7–7
You
can
use
th
e sa
me
step
s to
mu
ltip
ly n
um
ber
s th
at c
onta
in
zero
s th
at y
ou u
se t
o m
ult
iply
an
y m
ult
idig
it n
um
ber
.
Find
305
× 4
.
Step
1
Thin
k in
term
s of
hun
dred
s, te
ns,
and
ones
.30
5 is
3 h
undr
eds
+ 0
ten
s +
4
ones
.
Step
2
Mul
tiply
the
on
es.
2
305
× 4
4
× 5
= 2
0
0 Re
grou
p 20
one
s as
2 te
ns +
0
ones
. Be
sure
to
put
the
2 in
the
ten
s co
lum
n ab
ove
the
0.
Step
3
Mul
tiply
the
ten
s.
2
305
× 4
20
4 ×
0 t
ens
= 0
ten
sAd
d th
e re
grou
ped
2 te
ns.
0 te
ns +
2 t
ens
= 2
ten
s
Step
4
Mul
tiply
the
hu
nd
red
s.
2
305
× 4
1220
4 ×
3 h
undr
eds
= 1
tho
usan
d +
2
hund
reds
. 0 o
nes
+ 2
ten
s +
2
hund
reds
+ 1
tho
usan
d =
122
0
Rete
ach
Mul
tiply
Acr
oss
Zero
s→
→
↖
Mu
ltip
ly.
1.
402
× 8
= 3
,216
2.
7,00
9 ×
3 =
21,
027
3.
5 ×
301
= 1
,505
4. 6
× 9
,020
= 5
4,12
0
5. 2
× 1
,099
= 2
,198
6.
7 ×
8,1
07 =
56,
749
7.
806
× 9
= 7
,254
8.
5,00
7 ×
4 =
20,
0284N
S3.0
, 4M
R2.1
038_
042_
C07
_L07
_105
841.
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e 38
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Chapter Resources
Nam
e D
ate
Gra
de 4
39
C
hapt
er 7
7–7
1.
709
× 6
= 4,
254
2.
450
× 3
= 1,
350
3.
805
× 5
4,
025
4.
6,05
8 ×
8 =
48,
464
5.
5,60
8 ×
4 =
22,
432
6.
5,07
9 ×
8 =
40,
632
7.
1,04
7 ×
7 =
7,
329
8.
2,00
9 ×
2 =
4,
018
9.
4,01
0 ×
3 =
12,
030
10.
7,02
8 ×
4 =
28,
112
11.
5,00
1 ×
9 =
45,
009
12.
7,08
4 ×
9 =
63,
756
13.
4,80
7 ×
7 =
33,
649
14.
3,00
9 ×
4 =
12,
036
15.
9,01
2 ×
6 =
54,
072
16.
7,04
0 ×
8 =
56,
320
17.
1,02
7 ×
5 =
5,
135
18.
5,40
5 ×
5 =
27,
025
19.
3,00
4 ×
3 =
9,
012
20.
4,30
3 ×
2 =
8,
606
21.
1,00
9 ×
3 =
3,
027
22.
9,30
0 ×
1 =
9,
300
23.
9,09
9 ×
9 =
81,
891
Skill
s Pr
acti
ceM
ultip
ly A
cros
s Ze
ros
Solv
e.
24.
Tam
ara
has
5 ta
ll tr
ees
in h
er b
ack
yard
. Eac
h tr
ee is
108
fee
t ta
ll.
How
tal
l are
all
the
tree
s pu
t to
geth
er?5
40 f
eet
25.
Look
bac
k ov
er t
he p
age
and
circ
le e
very
pro
duct
tha
t ha
s a
3 in
the
tens
pla
ce. D
raw
a b
ox a
roun
d ev
ery
prod
uct
that
has
a 2
in t
he t
hous
ands
pla
ce. S
ee s
tud
ents
’ wor
k.
Mu
ltip
ly.
4NS3
.0, 4
MR2
.1
038_
042_
C07
_L07
_105
841.
indd
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e 39
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umes
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de_4
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licat
ion_
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s%0/
CR
M_c
h07/
Wor
kboo
k
Answers (Lesson 7-7)
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P rinter P DF
Cop
yrig
ht ©
Mac
mill
an/M
cGra
w-H
ill, a
div
isio
n of
The
McG
raw
-Hill
Com
pani
es, I
nc.
An
swer
s
Grade 4 A18 Chapter 7
Cop
yrig
ht ©
Mac
mill
an/M
cGra
w-H
ill, a
div
isio
n of
The
McG
raw
-Hill
Com
pani
es, I
nc.
Nam
e D
ate
Gra
de 4
40
C
hapt
er 7
7–7
Hom
ewor
k Pr
acti
ceM
ultip
ly A
cros
s Ze
ros
Mu
ltip
ly.
For
exer
cise
11,
com
ple
te t
he
tab
le.
11.
Mul
tiply
by
5,80
9.
Inp
ut
56
78
9
Ou
tpu
t29
,045
34,8
5440
,663
46
,472
52,2
81
Solv
e.
12.
Jaim
e ha
s 8
boxe
s of
bea
ds. E
ach
box
has
50 b
eads
in it
. How
man
y be
ads
does
she
hav
e in
all?
400
bea
ds
Solv
e (L
esso
n 7
-6)
13.
9,73
2 ×
9 =
87,
588
14.
2,58
1 ×
2 =
5,
162
15.
Ther
e ar
e 18
2 bu
lletin
boa
rds
thro
ugho
ut t
he s
choo
l. Ea
ch b
ulle
tin
boar
d is
cov
ered
by
8 la
rge
piec
es o
f co
lore
d pa
per.
Ever
y su
mm
er
the
colo
red
pape
r is
rep
lace
d. H
ow m
any
shee
ts o
f pa
per
does
it
take
to
cove
r th
e bu
lletin
boa
rds?
1,4
56 s
hee
ts 16
. Th
e sc
hool
bul
letin
boa
rds
disp
lay
at le
ast
1,00
0 st
uden
ts’ p
aper
s.
The
bulle
tin b
oard
s ar
e ch
ange
d 9
times
dur
ing
the
scho
ol y
ear.
At
leas
t ho
w m
any
stud
ent
pape
rs a
re d
ispl
ayed
ove
r th
e ye
ar? 9
,000
pap
ers
9,00
0 p
aper
s
1.
460
× 6
= 2
,760
2.
308
× 8
= 2
,464
3.
6,40
4 ×
3 =
19,
212
4.
5,06
0 ×
5 =
25,
300
5.
7,03
2 ×
4 =
28,
128
6.
3,05
6 ×
6 =
18,
336
7.
7,50
1 ×
4 =
30,
004
8.
7,81
0 ×
8 =
62,
480
9.
$2,0
58 ×
3 =
$6,
174
10.
$8,0
40 ×
2 =
$16
,0804N
S3.0
, 4M
R2.1
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Chapter Resources
Nam
e D
ate
Gra
de 4
41
C
hapt
er 7
7–7
Prob
lem
-Sol
ving
Pra
ctic
eM
ultip
ly A
cros
s Ze
ros
Solv
e.
1.
The
scho
ol h
as 2
06 b
oxes
of
chal
k. E
ach
box
has
8 pi
eces
of
chal
k in
side
. How
man
y pi
eces
of
chal
k ar
e th
ere
in a
ll?
1,64
8 p
iece
s of
ch
alk
2.
Ther
e ar
e 40
1 w
indo
ws
in t
he s
choo
l. Ea
ch w
indo
w h
as 9
pan
es.
Whe
n M
r. Pa
rker
was
hes
each
win
dow
pan
e by
han
d, h
ow m
any
pane
s do
es h
e w
ash?
3,60
9 w
ind
ow p
anes
3.
The
art
teac
her
orde
red
201
sets
of m
arke
rs fo
r he
r st
uden
ts t
o us
e.
Each
set
has
32
mar
kers
. How
man
y m
arke
rs d
id s
he o
rder
in a
ll?
6,43
2 m
arke
rs
4.
Each
tim
e th
e ar
t cl
ass
pain
ts p
ictu
res,
108
bru
shes
mus
t be
cl
eane
d. If
the
art
cla
ss p
aint
s pi
ctur
es 9
tim
es d
urin
g th
e ye
ar,
how
man
y br
ushe
s w
ill b
e cl
eane
d?
972
bru
shes
5.
Bre
nt r
ode
his
bicy
cle
4 m
iles
durin
g th
e la
st d
ay o
f Au
gust
. His
bi
cycl
e ha
s an
odo
met
er t
hat
mea
sure
s ho
w f
ar in
mile
s an
d ya
rds.
Ea
ch m
ile h
as 1
,760
yar
ds. H
ow m
any
yard
s di
d B
rent
rid
e on
the
la
st d
ay o
f Au
gust
?
7,04
0 ya
rds
6.
Cas
sand
ra r
an 7
mile
s du
ring
the
wee
k. S
he w
ears
a p
edom
eter
th
at m
easu
res
how
far
she
run
s in
mile
s an
d ya
rds.
Eac
h m
ile h
as
1,76
0 ya
rds.
How
man
y ya
rds
did
Cas
sand
ra r
un in
the
wee
k?12
,320
yar
ds
4NS3
.0, 4
MR2
.1
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Wor
kboo
k
Answers (Lesson 7-7)
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Grade 4 A19 Chapter 7
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illan/McG
raw-H
ill, a division of The M
cGraw
-Hill C
ompanies, Inc.
Nam
e D
ate
Gra
de 4
42
C
hapt
er 7
7–7
Enri
chM
enta
l Mat
h C
halle
nge
Choo
se f
acto
rs f
rom
th
e b
ox t
o m
ake
tru
e m
ult
ipli
cati
on
equ
atio
ns.
3
810
5
608
40
2
6 2,
003
9
7
4,00
5
4
90
6
30
6
2
5,
002
8
1.
3×
40
2 =
1,2
06
2.
5×
30
6 =
1,5
30
3.
7×
20
03 =
14,
021
4.
4×
81
0 =
3,2
40
5.
6×
4,
005
= 2
4,03
0
6.
6×
30
6 =
1,8
36
7.
8×
5,
002
= 4
0,01
6
8.
9×
60
8 =
5,4
72
4NS3
.0, 4
MR2
.1
038_
042_
C07_
L07_
1058
41.in
dd P
age
42 5
/8/1
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:49:
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M s-
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er/V
olum
es/1
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O000
16_r
3/Gr
ade_
4%0/
Appli
catio
n_Fil
es%
0/CR
M_ch
07/W
orkb
ook
Nam
e D
ate
Gra
de 4
50
C
hapt
er 7
Usi
ng
the
wor
d b
ank
bel
ow, c
omp
lete
eac
h s
ente
nce
by
wri
tin
g th
e co
rrec
t w
ord
or
wor
ds
in t
he
bla
nk.
addi
tion
divi
sion
estim
ate
mul
tiplic
atio
npr
oduc
tsu
btra
ctio
nw
hole
num
bers
1.
The
ter
m d
ivis
ion
mea
ns t
o sp
lit a
num
ber
into
equ
al
part
s.
2. m
ult
ipli
cati
on is
an
oper
atio
n on
tw
o nu
mbe
rs t
o fin
d th
eir
prod
uct.
It ca
n be
tho
ught
of
as r
epea
ted
addi
tion.
3.
An o
pera
tion
on t
wo
or m
ore
adde
nds
that
is e
qual
to
a su
m is
add
itio
n .
4.
An e
stim
ate
is a
num
ber
clos
e to
an
exac
t va
lue;
it in
dica
tes
abou
t ho
w m
uch.
5. su
btr
acti
on is
an
oper
atio
n on
tw
o nu
mbe
rs t
hat
tells
the
di
ffere
nce,
whe
n so
me
or a
ll ar
e ta
ken
away
.
6.
A p
rod
uct
is t
he a
nsw
er t
o a
mul
tiplic
atio
n pr
oble
m. I
t al
so
refe
rs t
o ex
pres
sing
a n
umbe
r as
a p
rodu
ct o
f its
fac
tors
.
7.
The
num
bers
0, 1
, 2, 3
, 4 a
re w
hol
e n
um
ber
s .
Voca
bula
ry T
est
7
043_
071_
C07_
CA_1
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1.ind
d Pa
ge 5
0 5
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0 5
:39:
31 P
M s-
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er/V
olum
es/1
06/G
O000
16_r
3/Gr
ade_
4%0/
Appli
catio
n_Fil
es%
0/CR
M_ch
07/A
sses
smen
t
Answers (Lesson 7-7 and Vocabulary Test)
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An
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Grade 4 A20 Chapter 7
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-Hill
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Gra
de 4
51
C
hapt
er 7
Rea
d e
ach
qu
esti
on a
lou
d t
o th
e st
ud
ent.
Th
en w
rite
th
e st
ud
ent’
s an
swer
s on
th
e li
nes
bel
ow t
he
qu
esti
on.
Arr
ange
4 g
rou
ps
of 3
bas
e-te
n b
lock
s an
d 2
on
es.
1.
How
man
y gr
oups
do
we
have
? H
ow m
any
obje
cts
are
in e
ach
grou
p?
4 gr
oup
s; 3
2 ob
ject
s
2.
Use
the
blo
cks
to s
how
the
pro
duct
of
2 ×
32.
Stu
den
t sh
ould
mov
e 2
grou
ps
of 3
2 b
lock
s
toge
ther
to
show
64
tota
l b
lock
s.
3.
Tell
how
you
got
you
r an
swer
.
Sam
ple
an
swer
: I
pu
t 2
grou
ps
of 3
2 b
lock
s
toge
ther
to
get
6 te
ns
and
4 o
nes
.
4.
Use
the
blo
cks
to s
how
the
pro
duct
of
4 ×
32.
Stu
den
t sh
ould
mov
e 4
grou
ps
of 3
2 b
lock
s
toge
ther
to
show
128
tot
al b
lock
s.
5.
Tell
how
you
got
you
r an
swer
.
Sam
ple
an
swer
: I
pu
t 4
grou
ps
of 3
2 b
lock
s to
geth
er t
o ge
t
12 t
ens
and
8 o
nes
. I r
egro
up
ed 1
0 te
ns
to g
et 1
hu
nd
red
, 2
ten
s, a
nd
8 o
nes
, or
128.
6.
Wha
t is
the
pro
duct
of
2 ×
4?
2 ×
40?
2 ×
400
?
8; 8
0; 8
00
7
. D
escr
ibe
the
patt
ern
you
see
in E
xerc
ise
6.
Sam
ple
an
swer
: Ea
ch t
ime
you
ad
d a
zer
o to
the
fact
or, y
ou a
dd
a z
ero
to t
he
pro
du
ct.
Ora
l Ass
essm
ent
7
Assessment
Nam
e D
ate
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essm
ent
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e D
ate
Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Gra
de 4
52
C
hapt
er 8
8.
Elen
a is
cle
anin
g he
r ro
om. S
he c
an f
it 25
boo
ks o
n ea
ch s
helf
of
her
book
case
. The
re a
re 6
she
lves
. How
man
y bo
oks
will
fit
on t
he
book
case
?
150
boo
ks
9.
How
man
y bo
oks
wou
ld f
it on
the
boo
kcas
e if
ther
e w
ere
5 sh
elve
s?
125
boo
ks
10.
Tell
how
you
got
you
r an
swer
.
25 ×
5 =
125
11.
If sh
e co
uld
fit 2
0 bo
oks
on a
she
lf an
d th
ere
wer
e 4
shel
ves,
how
m
any
book
s co
uld
she
fit?
80 b
ooks
12.
Tell
how
you
got
you
r an
swer
.
20 ×
4 =
80
13.
If sh
e co
uld
fit 3
0 bo
oks
on a
she
lf an
d th
ere
wer
e 4
shel
ves,
how
m
any
book
s co
uld
she
fit?
120
boo
ks
14.
Tell
how
you
got
you
r an
swer
.
30 ×
4 =
120
7O
ral A
sses
smen
t (c
ontin
ued)
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Ass
essm
ent
Answers (Oral Assessment)
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-Hill C
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ill, a division of The M
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-Hill C
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1. 12 2. $6 3. 20 4. $24
5. $50
6. thousands
7. ones
8. tens
9. hundreds
10. 1: thousands 6: hundreds 4: tens 5: ones
11. 40 12. 400 13. 3,000 14.
$40,000
15. 10,000
people
Chapter PretestPage 45
1. 6,300 2. 20,000
3. 60 4. 111 5. 196 6. $43,587
7. 535 8. 1,600 9. Yes 10. No
11. No
12. 8 × 1,000 =
8,000
13. $5,000 × 3 =
$15,000
14. 800 × 5 =
4,000
15. $618
16. 480
minutes
Quiz 1 Page 46
Diagnostic AssessmentPage 44
1. 15
150 1,500 15,000 2. 350 3. 80 4. 3 5. 60 6. 72,000
7. 27,000 8. 1,800
9. $200
10. 120 phone
calls
11. Yes
Chapter 7 Assessment Answer Key
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-Hill
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nc.
An
swer
s
Grade 4 A22 Chapter 7
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Quiz 2 Page 47
Quiz 3Page 48
Mid-Chapter ReviewPage 49
1. D
2. J
3. B
4. J
5. D
6. 40
books
7. $900
8. 66 9. $96
10. $10
1. $1,593 2. 2,485
3. $5,152 4. 1,503
5. $35,021 6. 5,424
7. 32,004
8. 3,972
9. $20; work
backward
10. $22; make
a table
11. 27 seeds;
look for
a pattern
1. 6 × 400 = 2,400
2. 900 × 7 = 6,300
3. 7 × 2,000 = 14,000
4. 2 × 1,000 = 2,000
5. 4,000 × 4 = 16,000
6. 168
7. 190
8. 648
9. 138
10. 315
11. about 3,000
miles
12. about
$4,000
Chapter 7 Assessment Answer Key
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ill, a division of The M
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-Hill C
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Form 1Page 55 Page 56
Form 2APage 57
1. B
2. F
3. C
4. F
5. C
6. F
7. C
8. F
1. C
2. G
3. A
4. G
5. B
6. G
7. B
8. H
9. A
10. J
11. A
Chapter 7 Assessment Answer Key
12. G
13. B
14. J
15. C
16. J
17. B
18. G
(continued on the next page)
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-Hill
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es, I
nc.
An
swer
s
Grade 4 A24 Chapter 7
Cop
yrig
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mill
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Form 2A (continued)Page 58
1. B
2. F
3. B
4. G
5. B
6. F
7. B
8. F
9. A
10. F
Page 60Form 2BPage 59
11. C
12. H
13. C
14. F
15. A
16. G
9. A
10. F
11. B
12. J
13. C
14. G
15. B
16. H
Chapter 7 Assessment Answer Key
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Grade 4 A25 Chapter 7
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Form 2CPage 61
1. $90
2. 150 minute
3.
5 × 200 =
1,000
4.
2 × 300 =
600
5. 210
students
6. 3,500
7. 6,000
8. 3,618
9. 432
10. 50 books
Page 62Form 2DPage 63
1. $90
2. 150
minutes
3.
5 × 200 =1,000
4.
2 × 300 =600
5. 210
students
6. 3,500
7. 6,000
8. 50 books
11. 162
12. 72
members
13. 50 × 6 = 300
14. 7 × 9 ones,
7 × 3 tens,
7 × 1 hundred = 973
15. 2,400
16. 600
17. 240; 2,400; 24,000
18. 16,000
Chapter 7 Assessment Answer Key
(continued on the next page)
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An
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Grade 4 A26 Chapter 7
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Form 2D (continued)Page 64
Form 3Page 65 Page 66
1. $150
2. 420
minutes
3.
5 × 200 =
1,000
4.
2 × 200 =
400
5. 600 pencils
6. 3,500
7. 6,000
8. 50 books
9. 162
10. 72
members
11.
50 × 6 =
300
12. 7 × 9 ones,
7 × 3 tens,
7 × 1 hundred
and 973
13. $3,600
14. 24,000
15. 240; 2,400; 24,000
16. 16,000
9. 162
10. 72
members
11. 50 × 6 = 300
12. 7 × 9 ones,
7 × 3 tens,
7 × 1 hundred
and 973
13. $3,600
14. 8
15. 240; 2,400; 24,000
16. 16,000
Chapter 7 Assessment Answer Key
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Grade 4 A27 Chapter 7
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Chapter 7 Assessment Answer KeyPage 67, Extended-Response Test
Scoring Rubric
Level Specific Criteria
4 The student demonstrates a thorough understanding of the mathematics concepts and/or procedures embodied in the task. The student has responded correctly to the task, used mathematically sound procedures, and provided clear and complete explanations and interpretations. The response may contain minor flaws that do not detract from the demonstration of a thorough understanding.
3 The student demonstrates an understanding of the mathematics concepts and/or procedures embodied in the task. The student’s response to the task is essentially correct with the mathematical procedures used and the explanations and interpretations provided demonstrating an essential but less than thorough understanding. The response may contain minor errors that reflect inattentive execution of the mathematical procedures or indications of some misunderstanding of the underlying mathematics concepts and/or procedures.
2 The student has demonstrated only a partial understanding of the mathematics concepts and/or procedures embodied in the task. Although the student may have used the correct approach to obtaining a solution or may have provided a correct solution, the student’s work lacks an essential understanding of the underlying mathematical concepts. The response contains errors related to misunderstanding important aspects of the task, misuse of mathematical procedures, or faulty interpretations of results.
1 The student has demonstrated a very limited understanding of the mathematics concepts and/or procedures embodied in the task. The student’s response to the task is incomplete and exhibits many flaws. Although the student has addressed some of the conditions of the task, the student reached an inadequate conclusion and/or provided reasoning that was faulty or incomplete. The response exhibits many errors or may be incomplete.
0 The student has provided a completely incorrect solution or uninterpretable response, or no response at all.
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An
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Grade 4 A28 Chapter 7
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Chapter 7 Assessment Answer KeyPage 67, Extended-Response Test
Sample Answers
In addition to the scoring rubric found on page A27, the following sample answers may be used as guidance in evaluatingopen-ended assessment items.
1. To find 4 × 9,000 you can use the basic fact that 4 × 9 = 36. Then you need to add 3 zeros in order to make it 36,000.
Pattern: 4 × 9 = 36 4 × 90 = 360 4 × 900 = 3,600 4 × 9000 = 36,000
2. When you figure out that 20 × 2 = 40 and knowing that there are 30 children, you can confirm that the claim is reasonable. If there are 30 students and 40 packs of crayons, there are more than enough packs for each child to get one pack of crayons.
3. From each of the 4 fourth-grade classrooms, 10 students are getting their school pictures taken on Monday. How many students are getting their school pictures taken on Monday? [Answer: 40]
4. Sample answer: The multiplication problem 201 × 4 = 804 does not belong because it is the only problem that does not involve regrouping.
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Grade 4 A29 Chapter 7
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STPPage 69
1. A
2. F
3. C
Page 70 Page 71
Chapter 7 Assessment Answer Key
9. B
10. G 11. 64,000 12. 210 13.
14. 138
15. 13,164
4. G
5. A
6. G
7. B
8. H
2 × 300 = 600
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