fractions, decimals, and percents

FeatureLesson

Course 3Course 3

LessonMain

Fractions, Decimals, and PercentsFractions, Decimals, and PercentsLESSON 5-1LESSON 5-1

Replace the question marks with the correct digits.

a. 8 9 + 6. = 15.96

b. 13. 0 – . 4 2 = 4.122

? ? ?

? ? ? ?

9, 9, 7

6, 4, 9, 8

Problem of the Day

5-1

FeatureLesson

Course 3Course 3

LessonMain

LESSON 5-1LESSON 5-1

Fractions, Decimals, and PercentsFractions, Decimals, and Percents

(For help, go to Lesson 2-2.)

1. Vocabulary Review A rational number is a number that can be written in the form ? .

Write each fraction in simplest form.

2. 3.

4. 5.

90100

80100

35100

25100

Check Skills You’ll Need


5-1

FeatureLesson

Course 3Course 3

LessonMain

Solutions

1. , b 0 2. =

3. = 4. =

5. =


35 ÷ 5100 ÷ 5

720

14

25 ÷ 25100 ÷ 25

90 ÷ 10100 ÷ 10

910

45

80 ÷ 20100 ÷ 20

ab


5-1

FeatureLesson

Course 3Course 3

LessonMain

Use mental math to write as a percent.


325

What you think

I can write as an equivalent fraction with a denominator of 100.

325

12100

= I can rewrite as 12%.12

100

4

4

Why it works

325

3 • 425 • 4

= Multiply the numerator and denominator by 4.

12100

= Simplify.

= 12% Write the fraction as a percent.

325

Quick Check

Additional Examples

5-1

FeatureLesson

Course 3Course 3

LessonMain

Write each decimal as a percent.


a. 2.5

b. 0.003

2.5 = 2510

Write the decimal as a fraction.

= 25 • 1010 • 10

=250100

Write as an equivalent fraction with a denominator of 100.

= 250% Write the fraction as a percent.

0.003 =3

1,000 Write the decimal as a fraction.

=3 ÷ 10

1,000 ÷ 10 =0.3100

Write as an equivalent fraction with a denominator of 100.

= 0.3% Write the fraction as a percent.Quick Check

Additional Examples

5-1

FeatureLesson

Course 3Course 3

LessonMain

A brand of cereal supplied 7 % of the RDA of

sodium. Write this portion of the RDA as a fraction.


Rewrite the fraction as division.Write the mixed number as animproper fraction.

= 152

÷ 100

Quick Check

12

Simplify.= 340

= 1

100 Multiply by the reciprocal of 100.152

x

Additional Examples

5-1

Write the percent as a fraction with adenominator of 100.7 % =

7 100

12

12

FeatureLesson

Course 3Course 3

LessonMain

Order 27%, 0.24, and from least to greatest.


15

27% = 0.27 0.24=0.24 =0.20 15

15

Answer: < 0.24 < 27%

Quick Check

Additional Examples

5-1

FeatureLesson

Course 3Course 3

LessonMain

Fractions, Decimals, and PercentsFractions, Decimals, and Percents

1. A cereal supplies 1 % of the RDA for calcium. Write 1 % as a fraction.

2. Write as a percent.

3. Write 1.5 as a percent.

4. Order 60%, 0.58, and .


14

14

14

720

58

180

35%

150%

0.58 < 60% < 58

Lesson Quiz

5-1

FeatureLesson

Course 3Course 3

LessonMain

Estimating With PercentsEstimating With Percents

The Jackson Country Bird Sanctuary has three times as many owls as hawks. It has 40 hawks and owls in all. How many of each are in the sanctuary?


30 owls, 10 hawks

Problem of the Day

5-2

FeatureLesson

Course 3Course 3

LessonMain




1. Vocabulary Review The multiplicative inverse of is

Find each product.

2. 36 • 3. • 12

4. • 60 5. 81 • 910

23

59

34

37



5-2

FeatureLesson

Course 3Course 3

LessonMain

Solutions

1. 2. • = = = 27

3. • = = = 8 4. • = = = 54

5. • = = = 45

Estimating With PercentsEstimating With PercentsLESSON 5-2LESSON 5-2

1

73

23

121

2 • 123 • 1

2 • 123 • 1

9361

34

36 • 3 1 • 4

36 • 3 1 • 4 1

1

49

10601

9 • 6010 • 1

9 • 6010 • 11

6

811

59

81 • 5 1 • 9

81 • 5 1 • 9

9


5-2

FeatureLesson

Course 3Course 3

LessonMain

Estimate 74% of 158 using decimals.


74% of 158 0.75 of 160

74% 0.75 Use a decimal that is close to 74%.

158 160Round 158 to a number that is compatible with 0.75.

= 0.75 • 160 Multiply to find 0.75 of 160.

= 120 Simplify.

Quick Check

Additional Examples

5-2

FeatureLesson

Course 3Course 3

LessonMain

A video store rented 297 videos. The customers

returned 19% of the videos late. Estimate, using fractions,

how many videos were returned late.


19%15 Use a fraction that is close to 19%.

297 300 Round to a number that is compatible with 5.

19% of 29715 of 300

15 = 60= •

3001 Multiply to find of 300.

1

6015

About 60 videos were returned late. Quick Check

Additional Examples

5-2

FeatureLesson

Course 3Course 3

LessonMain

Dion is saving for a coat that costs $59.95. She

has saved 45% of the cost. Estimate how much she has

saved.


What you think

The coat costs about $60.

I know 50% of 60 equals of 60, or 30. Since 5% is one-tenth of 50%, then 5% of 60 is one-tenth of 30, which is 3. So, the amount Dion has saved is about $30 minus $3, which is $27.

12

Additional Examples

5-2

FeatureLesson

Course 3Course 3

LessonMain

(continued)


Why it works

50% of 60 = 0.5 • 60To find 50% of a number, multiply the number by 0.5.

= 30 Simplify.

5% of 60 = (50% of 60)5% of a number is one-tenth of 50% of that number.

110

= (30)1

10 Substitute.

= 3 Simplify.

So, 45% of $59.95 is about $27.

45% of 60 = 30 – 3 45% = 50% – 5%

= 27 Simplify.Quick Check

Additional Examples

5-2

FeatureLesson

Course 3Course 3

LessonMain


Show the numbers you use to estimate. Numbers used may vary,

Samples are given.

1. Use decimals to estimate 54% of 29.

2. Use fractions to estimate 74% of 38.

3. Estimate a 15% tip on $8.15.

4. About 60% of 27 students are in the play.

0.5 • 30 = 15


• 40 = 3034

0.1(8) + 0.1(4) = 0.8 + 0.4 = $1.20

(30) = 18 students or 0.6 • 30 = 1835

Lesson Quiz

5-2

FeatureLesson

Course 3Course 3

LessonMain

Percents and ProportionsPercents and Proportions

Use graph paper. Design and draw a diagram to determine which has the greater area—a square with sides of 10 cm or a circle with a diameter of 10 cm.


Draw a circle within the square to prove that the square has the greater area.

Problem of the Day

5-3

FeatureLesson

Course 3Course 3

LessonMain




1. Vocabulary Review Two equal ratios form a

Solve each proportion.

2. = 3. = 4. =

5. = 6. =

240n

125

6y

24100

s4

75100

4b

20100

812

e100



5-3

FeatureLesson

Course 3Course 3

LessonMain

Solutions

1. proportion 2. 20b = 400; b = 20

3. 12e = 800; e = 66 4. 12n = 1,200; n = 100

5. 100s = 300; s = 3 6. 24y = 600; y = 25

Percents and ProportionsPercents and ProportionsLESSON 5-3LESSON 5-3

23


5-3

FeatureLesson

Course 3Course 3

LessonMain

Find 32% of 240.


n240

=32

100Write a proportion.

100n = 240 • 32 Write the cross products.

100n = 7,680 Simplify.

=100n100

7,680100

Divide each side by 100.

n = 76.8 Simplify.

Quick Check

Additional Examples

5-3

FeatureLesson

Course 3Course 3

LessonMain

Brenda saw a blender for $24 in a bargain store. In a second store, the same blender was 160% of the cost of the blender in the bargain store. Find 160% of $24.


A diagram can help you understand the problem.

n24

=160100

Write a proportion.

100n = 24 • 160 Write the cross products.

100n = 3,840 Simplify.

Additional Examples

5-3

FeatureLesson

Course 3Course 3

LessonMain


=100n100

3,840100

Divide each side by 100.

n = 38.4 Simplify.

The price of the blender in the second store was $38.40.

(continued)

Quick Check

Additional Examples

5-3

FeatureLesson

Course 3Course 3

LessonMain

Suppose 11,550 elementary students make up

14% of a city’s population. What is the population of the

city?



11,500w

14100

= Write a proportion.

11,550 • 100 = 14w Write the cross products.

1,155,000 = 14w Simplify.

= Divide each side by 14.1,155,000

1414w14

82,500 = w Use a calculator.

Additional Examples

5-3

FeatureLesson

Course 3Course 3

LessonMain

(continued)


The population of the city is 82,500 people.

Check for Reasonableness 82,500 is about 80,000. Since 14% of 80,000 is 11,200, which is close to 11,155, the answer is reasonable.

Quick Check

Additional Examples

5-3

FeatureLesson

Course 3Course 3

LessonMain

26 is what percent of 80?


2680

p100

= Write a proportion.

26 • 100 = 80p Write the cross products.

2,600 = 80p Simplify.

= Divide each side by 80.2,600

8080p80

32.5% = p Simplify and insert a percent sign.

Additional Examples

5-3


FeatureLesson

Course 3Course 3

LessonMain


1. Find 25% of 160.

2. The price of a music CD is $12. If the store raises the price to 125% of its current price, what will be the new price of the CD?

3. So far, the sixth grade class has sold 32 tickets to their play. The

number represents 20% of the tickets that are available. How many

tickets are available?

4. 98 is what percent of 56?

40


$15

160

175%

Lesson Quiz

5-3

FeatureLesson

Course 3Course 3

LessonMain

Percents and EquationsPercents and Equations

Write the prime factorization of 364.


22 7 13

Problem of the Day

5-4

FeatureLesson

Course 3Course 3

LessonMain




1. Vocabulary Review Is 2 • 8 = 16 an equation or an expression? Explain.

Solve each equation.

2. 0.25p = 10

3. 12.25 = 9.8x

4. 24 = 1.6s

5. 0.64k = 0.02



5-4

FeatureLesson

Course 3Course 3

LessonMain

Solutions

1. Equation; it contains an = sign. 2. = ; p = 40

3. = ; x = 1.25 4. = ; s =15

5. = ; k = 0.03125

Percents and EquationsPercents and EquationsLESSON 5-4LESSON 5-4

100.25

241.6

0.020.64

1.6s1.6

0.64k0.64

0.25p0.25

9.8x9.8

12.259.8


5-4

FeatureLesson

Course 3Course 3

LessonMain

Misha got 84% correct on a 25 problem test. How

many did he answer correctly?


c = 0.84 • 25

c = 21 Simplify.

Check for Reasonableness 84% of 25 80% of 25. Since 80% of 25 is 20, which is close to 21, the answer is reasonable.

Quick Check

number of problems correct is 84% of 25Words

Equation

Let = the number of problems correct.

c 84% of 25=

c

Additional Examples

5-4

FeatureLesson

Course 3Course 3

LessonMain

Use an equation. 12 is 8% of what number?


12 = 0.08 • w Write a percent equation.

=12

0.080.08w0.08

Divide each side by 0.08.

Simplify.150 = w

Quick Check

Additional Examples

5-4

FeatureLesson

Course 3Course 3

LessonMain


1. Find 81% of 110.

2. You buy a book for $17.80. Sales tax is 8%. What is the sales tax cost of the book?

3. 45 is 75% of what number?

4. Find what percent 68 is of 80.

89.1


$1.42

60

85%

Lesson Quiz

5-4

FeatureLesson

Course 3Course 3

LessonMain

Percent of ChangePercent of Change

Dan, Susan, Monica, and Jose want to talk on the phone once to each of the others. How many telephone calls will be made?


6 calls

Problem of the Day

5-5

FeatureLesson

Course 3Course 3

LessonMain




1. Vocabulary Review A is a ratio that compares a number to 100.

Write each fraction as a percent. Round to the nearest tenth of a percent.

2. 3.

4. 5.

622

415

113

98



5-5

FeatureLesson

Course 3Course 3

LessonMain

Solutions

1. percent 2. = 1.125; 112.5% 3. = 0.27; 27.3%

4. = 0.26; 26.7% 5. = 3.6; 366.7%

Percent of ChangePercent of ChangeLESSON 5-5LESSON 5-5

98

622

113

415


5-5

FeatureLesson

Course 3Course 3

LessonMain

Ten years ago, Max’s comic book was worth

$2.50. Now it is worth $13. Find the percent of increase in

value.


amount of change = 13 – 2.50 = 10.50

P =10.502.50

amount of changeoriginal amount

Check for Reasonableness 420% of 2.5 400% of 3. Since 400% of 3 = 12, which is close to 13, the answer is reasonable.

10.50 2.50 4.2 Use a calculator to divide.

= 420% Write the decimal as a percent.

The percent of increase in value is 420%.

Quick Check

Additional Examples

5-5

FeatureLesson

Course 3Course 3

LessonMain

Andre changed the height of his basketball hoop

from 8 ft 4 in. to 9 ft 2 in. Find the percent of increase.


amount of change = 110 – 100 = 10

8 ft 4 in. = 8 • 12 + 4 = 100 in.9 ft 2 in. = 9 • 12 + 2 = 110 in.

Write measures in the same units.

P =10

100amount of changeoriginal amount

= 0.1 Simplify.


The height of the basketball hoop increased by 10%. Quick Check

Additional Examples

5-5

FeatureLesson

Course 3Course 3

LessonMain

In 1980, the population of a city was 557,927.In 1990, its population was 496,938. Find the percentof decrease. Round to the nearest tenth.


amount of change = 557,927 – 496,938 = 60,989

P =60,989

557,927amount of changeoriginal amount

The population decreased by about 11%.

= 0.109313584 Use a calculator.

11%Write the decimal as a percent. Round to thenearest tenth.

Quick Check

Additional Examples

5-5

FeatureLesson

Course 3Course 3

LessonMain


Round to the nearest whole percent.

1. 81 people attended last year’s annual picnic, and 93 people attended this year’s picnic. What is the percent of increase?

2. The speed limit on a highway was 55 miles per hour last year. This year the speed limit was increased to 65 miles per hour. What is the percent increase in the speed limit?

3. The population in Arthur County, Nebraska dropped from 462 in 1990 to 444 in 2000. What was the percent of decrease?

about 15%


about 18%

about 4%

Lesson Quiz

5-5

FeatureLesson

Course 3Course 3

LessonMain

Markup and DiscountMarkup and Discount

Round to the underlined place.

a. 0.09972 b. 0.109 c. 17.51 d. 0.998


0.0997 0.1 18 1.00

Problem of the Day

5-6

FeatureLesson

Course 3Course 3

LessonMain


Markup and DiscountMarkup and Discount


1. Vocabulary Review A relates a part to the whole.

Use an equation to solve each problem.

2. What number is 16% of 25?

3. Find 80% of 250.

4. 33 is 3% of what number?

5. 0.55% of what number is 77? Check Skills You’ll Need


5-6

FeatureLesson

Course 3Course 3

LessonMain

Solutions

1. percent 2. 0.16 • 25 = n; n = 4

3. 0.80 • 250 = n; n = 200 4. 0.03 • w = 33; w = 1,100

5. 0.0055 • w = 77; w = 14,000

Markup and DiscountMarkup and DiscountLESSON 5-6LESSON 5-6


5-6

FeatureLesson

Course 3Course 3

LessonMain

Find the percent of markup for a stapler costing the

school store $2.10 and selling for $3.36.


markup = selling price – store’s cost

= $3.36 – $2.10 Substitute.

= $1.26 Subtract.

percent of markup =1.262.10

markupstore’s cost

= 0.6 Write the fraction as a decimal.


Quick Check

Additional Examples

5-6

FeatureLesson

Course 3Course 3

LessonMain

A store sells a skirt that costs the store $40 and

marks up the price 25%. What is the selling price for this

skirt?


Method 1 Find the markup first. Then find the selling price.

25% of $40 equals the markup.

= $10

$40 + 10 = $50

The store sells the skirt for $50.

0.25 • 40 = 10 Multiply to find the markup.

store’s cost + markup = selling price

Additional Examples

5-6

FeatureLesson

Course 3Course 3

LessonMain

(continued)


Method 2 Find the selling price directly.

The selling price equals 100% of the store’s cost plus a markup of 25% of the store’s cost.

The store sells the skirt for $50.

So, the selling price of the skirt is 100% + 25%, or 125%, of $40.

= $50

Multiply to find the selling price.

125% of $40 equals the selling price.

1.25 • 40 = 50

Quick Check

Additional Examples

5-6

FeatureLesson

Course 3Course 3

LessonMain

A shoe store advertises a 35%-off sale. What is

the sale price of shoes that regularly cost $94.99?


Method 1 Find the discount first. Then find the sale price.

35% of $94.99 equals the discount.

The sale price is $61.74.

= $33.25

94.99 – 33.25 = 61.74

0.35 • 94.99 = 33.2465 Multiply to find the discount.

regular price – discount = sale price

Round to the nearest cent.

Additional Examples

5-6

FeatureLesson

Course 3Course 3

LessonMain

(continued)


Method 2 Find the sale price directly.

The sale price equals 100% of the regular price minus a discount of 35% of the regular price.

The sale price is $61.74.

The sale price is 100% – 35%, or 65%, of $94.99.

= $61.74

Multiply to find the sale price.

65% of $94.99 equals the sale price.

0.65 • 94.99 = 61.744

Round to the nearest cent.

Quick Check

Additional Examples

5-6

FeatureLesson

Course 3Course 3

LessonMain

You buy a CD at the sale price of $6. This is 25%

off the regular price. Find the regular price of the CD.


regular price – 25% of regular price = sale price

The regular price of the CD is $8.

r – (0.25 • r ) = 6 Substitute. Write the percent as a decimal.

Let r = the regular price.

0.75r = 6 Combine like terms: r – 0.25r = 0.75r.

= Divide each side by 0.75.0.75r0.75

60.75

r = 8 Simplify.

Quick Check

Additional Examples

5-6

FeatureLesson

Course 3Course 3

LessonMain


1. A pair of shoes costs the store $40. The store sells them for $65.What is the percent markup?

62.5%

2. A school service club sells calendars. Each calendar costs the club $5.50. The club marks up the price 80%. What is the selling price of each calendar? $9.90

3. A sweater regularly sells for $49. It is on sale for 20% off. What is the sale price? $39.20

4. You buy a baseball cap for $13. This price is 35% off the regular price. Find the regular price. $20.00

Lesson Quiz

5-6

FeatureLesson

Course 3Course 3

LessonMain

Simple InterestSimple Interest

Luis’s mother has two older sisters who are twins and 6 yr older than she is. She has a brother who is half her age. The sum of all their combined ages is 145 yr. How old is each?


mother 38, older twins 44, brother 19

Problem of the Day

5-7

FeatureLesson

Course 3Course 3

LessonMain




1. Vocabulary Review A is a rule that shows a relationship between quantities.

Solve each formula for the underlined variable.

2. V = lwh 3. d = rt

4. y = x + b 5. V = Bh13



5-7

FeatureLesson

Course 3Course 3

LessonMain

Solutions

1. formula 2. w =

3. r = 4. b = y – x

5. B =

Simple InterestSimple InterestLESSON 5-7LESSON 5-7

Vlh

3V h

d t


5-7

FeatureLesson

Course 3Course 3

LessonMain

A student deposits $150 into a bank that pays 6%

simple interest. Find the interest earned in 4 years.


l = p • r • t Use the simple interest formula.

= 150 • 0.006 • 4 Substitute: p = 150, r = 6% = 0.06, t = 4.

= 36 Multiply.

In 4 years, the interest earned is $36.

Quick Check

Additional Examples

5-7

FeatureLesson

Course 3Course 3

LessonMain

Use the information from Example 1. Find thefinal balance in the account after 5 years.


l = p • r • t= 150 • 0.06 • 5 Substitute into the simple interest formula.

= 45 Multiply.

In 5 years, the interest earned is $45.

First, find the interest earned.

Next, find the final balance in the account.

The final balance in the account is $195.

principal + earned interest = balance

= balance45+150

= 195

Substitution.

Add.Quick Check

Additional Examples

5-7

FeatureLesson

Course 3Course 3

LessonMain


1. You deposit $80 into an account that earns 6% simple interest. Find the amount of interest earned in 3 years.

2. You deposit $180 into an account that earns 6% simple interest. How much will be in the account after 3 years?


$14.40

$212.40

Lesson Quiz

5-7

FeatureLesson

Course 3Course 3

LessonMain

Ratios and ProbabilityRatios and Probability

Which of the following numbers would give the smallest product?

4.9, 75.12, 15.02, 21.275, 8.61, 0.942, 47.38, 3.824


0.942, 3.824

Problem of the Day

5-8

FeatureLesson

Course 3Course 3

LessonMain



(For help, go to Lesson 4-1.)1. Vocabulary Review A is a comparison of two quantities by

division.

Write each ratio in simplest form.

2. 3 : 6

3.

4.

5.

6. 17 to 68

8 h100 h

90 s270 s

20 cm36 cm



5-8

FeatureLesson

Course 3Course 3

LessonMain

Solutions

1. ratio 2. = = = , = or 1:2

3. = = = 4. = = =

5. = = 6. = = , = or 1 to

4

Ratios and ProbabilityRatios and ProbabilityLESSON 5-8LESSON 5-8

8 h100 h

8100

8 ÷ 4100 ÷ 4

225

1768

17 ÷ 1768 ÷ 17

14

90 s270 s

90270

90 ÷ 90270 ÷ 90

13

20 cm36 cm

2036

20 ÷ 436 ÷ 4

59

3 ÷ 36 ÷ 3

12

36

36


5-8

FeatureLesson

Course 3Course 3

LessonMain

There are 3 red, 2 green, 5 yellow, and 1 blue

marker pens in a box. Suppose you choose one at random.

Find these probabilities.


P (yellow) =5

115 favorable outcomes11 possible outcomes

P (brown) =0

110 favorable outcomes11 possible outcomes

The probability of choosing a yellow marker pen is .5

11

= 0 Write the fraction in simplest form.

The probability of choosing a brown marker pen is 0.

b. P (brown)

a. P (yellow)

Quick Check

Additional Examples

5-8

FeatureLesson

Course 3Course 3

LessonMain

In a survey of the class, 13% of the students prefer

vanilla, 27% prefer chocolate, 10% prefer strawberry, and

the rest chose other flavors of ice cream. What is the

probability that a student randomly selected from the class

chose vanilla or chocolate?


13% of the students chose vanilla, and 27% of the students chose chocolate.

P(vanilla or chocolate) = P(vanilla) + P(chocolate)

= 13% + 27% Substitute.

= 40% Simplify.

The probability that the student chose vanilla or chocolate is 40%.

Quick Check

Additional Examples

5-8

FeatureLesson

Course 3Course 3

LessonMain

Express as a fraction the probability that the

outcome for rolling two number cubes has a sum less than 7.


Make a table to find the sample space for rolling two number cubes.

1 2 3 4 5 61 (1,1) (2,1) (3,1) (4,1) (5,1) (6,1)2 (1,2) (2,2) (3,2) (4,2) (5,2) (6,2)3 (1,3) (2,3) (3,3) (4,3) (5,3) (6,3)4 (1,4) (2,4) (3,4) (4,4) (5,4) (6,4)5 (1,5) (2,5) (3,5) (4,5) (5,5) (6,5)6 (1,6) (2,6) (3,6) (4,6) (5,6) (6,6)

So, P(sum less than 7) = , or .1536

512 Quick Check

1 (1,1) (2,1) (3,1) (4,1) (5,1) (6,1)2 (1,2) (2,2) (3,2) (4,2) (5,2) (6,2)3 (1,3) (2,3) (3,3) (4,3) (5,3) (6,3)4 (1,4) (2,4) (3,4) (4,4) (5,4) (6,4)5 (1,5) (2,5) (3,5) (4,5) (5,5) (6,5)6 (1,6) (2,6) (3,6) (4,6) (5,6) (6,6)

Out of the 36 possible outcomes, the 15 outcomes shown in red have a sum less than 7.

Additional Examples

5-8

FeatureLesson

Course 3Course 3

LessonMain

What is the probability (as a fraction) of there being at least 1 male kitten in a litter of 4 kittens? Drawthe sample space. Express the probability as a fraction.


Additional Examples

5-8

FeatureLesson

Course 3Course 3

LessonMain

(continued)


P(at least one male) = number of outcomes with at least one male kittentotal number of possible outcomes with four kittens

1516

= Substitute.

Quick Check

Additional Examples

5-8

FeatureLesson

Course 3Course 3

LessonMain


1. A 6-sided number cube has the numbers 1, 2, 3, 4, 5, and 6 on its faces. What is the probability of rolling a number less than 5? Write your answer as a fraction.

2. A survey shows that 24% of people get their news from the internet, 48% percent from TV, 22% from newspapers, and 6% from news magazines. If you interviewed at random one person who answered the survey, what is the probability that you would select someone who gets news from TV or the internet?

3. A spinner has two equal sections, one yellow and one green. You spin 3 times in a row. Make an organized list to show the sample space for spinning the spinner 3 times. What is the probability of spinning green at least twice in a row?


72%

23

Sample space: YYY YYG YGY YGG GYY GYG GGY GGGProbability of spinning green at least twice in a row is .3

8

Lesson Quiz

5-8

fractions, decimals, and percents

Documents