Whole Numbers and Their Operations

Third Grade CRCT Prep

What are whole numbers?The digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 are used

to write whole numbers.Whole numbers can be expressed in standard

notation or expanded notationStandard- 3,421Expanded- 3,000 + 400 + 20 + 1Numbers may also be expressed in words

(Three thousand, four hundred twenty-oneModels can also express numbers (place value

blocks)

Answer the following:

This is a model representation of which number?

Answer the following:80,000 + 2,000 + 500 + 30 + 2 is the

expanded notation of which number?700,000 + 300 + 4 is the expanded notation

of which number?Which of the following is in standard

notation?A. 3,000 + 20 + 1B. Three thousand, twenty-oneC. 3,021D. (3 x 1,000) + (2 x 10) + 1

Place ValueHundred thousands

Ten thousands

Thousands

Hundreds

Tens Ones

8 6 7 9 2 1

(800,000) (60,000) (7,000) 900 20 1

867, 921

Try this question:What is the place value for the underlined

digit in 87,457? A. hundreds B. thousands C. ten thousands D. hundred thousands

   HINT: USE THE CHART

Try This Question:By how much would the value of 5,647 be

decreased if the 5 were replaced by a 2?A. 3 B. 30 C. 300 D. 3,000

  HINT: WRITE THE NUMBER 5,647. ERASE THE 5 AND WRITE A 2 IN ITS PLACE. HOW MUCH SMALLER IS IT. DECREASED MEANS SMALLER!!! 

Comparing and OrderingSymbols:

> means greater than< means less than= means equal to

56>7 (56 is greater than 7)9<90 (9 is less than 90)

Words to watch:Increased: means biggerDecreased: gets smallerGreatest to least: biggest to smallestLeast to greatest: smallest to biggest

Answer the following:Put the following numbers in order from

greatest to least: A. 890B. 89C. 8,900D. 89,000

HINT: IT’S ASKING FROM BIGGEST TO SMALLEST!!!

Answer the Following:Put the following numbers in order from least

to greatest:A. 7,654B. 7,987C. 7,897D. 7,777

HINT: SMALLEST TO LARGEST!!! LINE UP THE NUMBERS AND LOOK AT EACH PLACE VALUE.

Operations for Whole NumbersBigger Smaller

Addition (sum, total) + Subtraction (difference, less) -

Multiply (product) x, * Divide (quotient) ÷

Words to watch:

ADDITION: Altogether; How many in all; Total; Sum

SUBTRACTION: How much greater?What is the difference?How much left?How many more?

More words to watchMULTIPLICATION:

How many?Product

DIVISION: How many? Quotient

Watch For Estimates!!!If it says about, or best estimate:

You must estimate!!!You do this by rounding!!!678 + 901

I round 678 to 700 and 901 to 900. The estimated sum is 1,600!!!

Solve:Don was selling cans of peanuts for a school

project. He sold 23 on Monday, 78 on Wednesday, and 47 on Thursday. About how many cans of peanuts did Don sell?A. 100 B. 150 C. 250 D. 300

 HINT: WHICH OPERATION??

Solve:Professional golfers often hit golf balls as far

as 320 yards. Major league baseball players hit home runs as far as 450 feet. What is the difference between these distances?

A. 130 yards B. 170 yards C. 130 feet D. 170 feet

   HINT: WHAT OPERATION???

Solve:It is 71 miles from Boston, MA, to Concord,

NH. It is 138 miles from Concord, NH, to Colebrook, NH. About how many miles is this altogether?A. 100 B. 200 C. 300 D. 400

 WHAT OPERATION?

SolveCedar Grove Elementary School is having a

jump-rope contest. Wilson jumped 293 times. Cathy jumped 412 times. Which is the BEST ESTIMATE of how many more times Cathy jumped than Wilson?A. 100 B. 200 C. 300 D. 400

  WHAT OPERATION???

Solve:A bay is 12 fathoms deep. A fathom is equal

to 6 feet. How many feet deep is the bay?A. 2 feet B. 18 feet C. 72 feet D. 96 feet

HINT: BIGGER OR SMALLER??? WHAT MAKES SENSE???  

Solve:Mrs. Wall bought eight books of stamps. If

each book contains 18 stamps, how many stamps did she buy?A. 10 B. 26 C. 84 D. 144

   BIGGER OR SMALLER?? WHAT OPERATION???

Solve:Jan has 40 bags of marbles. There are 70

marbles in each bag. How many marbles does Jan have?A. 110 B. 280 C. 1110 D. 2800

   

SolveThe 21 students will be divided up into

groups. Each of the 7 adults will have the same number of students in a group. How many students will be in each group?A.2 B. 3 C. 4 D. 5

  BIGGER OR SMALLER???? WHAT OPERATION???

Solve:Darion visited his friends who live near a beach.

He brought back shells to give to the children in his class. He had 125 shells and gave 5 shells to each child. What should you do to find out how many children received shells from Darion?A. add B. subtract C. multiply D. divide

   

Inverses or Opposites!!!You can use an inverse to check your work!!!

The inverse of addition is subtraction 67 + 33 = 100 100 – 33 = 67 You can use subtraction to check addition You can use addition to check subtractionThe inverse of multiplication is Division

You can use multiplication to check divisionYou can use division to check multiplication8 x 9 = 7272 / 9 = 8

SolveWhich number sentence is related to 800 –

600 = 200?A. 600 + 400 = 1000B. 200 + 800 = 1000C. 200 + 600 = 800D. 800 – 200 = 600

Multi-Step ProblemsTry working backwards!!!Cherie has a rock collection. She gave 6 rocks to

Tommy for his birthday. She traded 3 rocks to Sally for marbles. Cherie now has 15 rocks left. How many did she start with?A. 6 B. 9 C. 15 D. 24

   Try starting with 15 and adding the other rocks!!!

Important and Not???In one weekend, a class of 30 students read a

total of 1,000 pages. If 10 students read a total of 379 pages, how many pages did the other 20 students read?A. 621 B. 731 C. 1,621 D. 1,731

  What is the operation?? Which numbers  are important?? Some of these are not!!!

Draw a picture!!!!You are eighth in line to swing at the

playground. If every person ahead of you swings for 5 minutes, how long will you wait to swing?A. 5 minutes B. 13 minutes C. 35 minutes D. 40 minutes

   

Work BackwardsThe Costume Store sold half of its supply of costumes

on Friday. Eight more were sold on Saturday. Then there were only 18 left in the store. How many costumes were in the store when it opened on Friday?A. 52 B. 26 C. 20 D. 13

Start with 18 and add. What does half mean??? Divide by 2.