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Course 1 • Chapter 2 Fractions, Decimals, and Percents 17 NAME _____________________________________________ DATE __________________ PERIOD _________ Copyright © The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use. Lesson 1 Homework Practice Decimals and Fractions Write each decimal as a fraction in simplest form. 1. 0.5 2. 0.8 3. 0.9 4. 0.75 5. 0.48 6. 0.72 Write each decimal as a mixed number in simplest form. 7. 3.6 8. 10.4 9. 2.11 Write each fraction or mixed number as a decimal. 10. 7 8 11. 7 20 12. 13 250 13. 7 5 14. 9 29 40 15. 7 29 80 16. DISTANCE The library is 0.96 mile away from Theo’s home. Write this distance as a fraction in simplest form. 17. INSECTS A Japanese beetle has a length between 0.3 and 0.5 inch. Find two lengths that are within the given span. Write them as fractions in simplest form.

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Page 1: NAME DATE PERIOD Lesson 1 Homework Practice · 2019-08-29 · Course 1 • Chapter 2 Fractions, Decimals, and Percents NAME _____ DATE _____ PERIOD _____ Lesson 1 Extra Practice Decimals

Course 1 • Chapter 2 Fractions, Decimals, and Percents 17

NAME _____________________________________________ DATE __________________ PERIOD _________

Copy

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Lesson 1 Homework PracticeDecimals and Fractions

Write each decimal as a fraction in simplest form.

1. 0.5 2. 0.8 3. 0.9

4. 0.75 5. 0.48 6. 0.72

Write each decimal as a mixed number in simplest form.

7. 3.6 8. 10.4 9. 2.11

Write each fraction or mixed number as a decimal.

10. 7 ! 8 11. 7 !!

20 12. 13 !!!

250

13. 7 ! 5 14. 9 29 !!

40 15. 7 29 !!

80

16. DISTANCE The library is 0.96 mile away from Theo’s home. Write this distance as a fraction in simplest form.

17. INSECTS A Japanese beetle has a length between 0.3 and 0.5 inch. Find two lengths that are within the given span. Write them as fractions in simplest form.

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Course 1 • Chapter 2 Fractions, Decimals, and Percents18

NAME _____________________________________________ DATE __________________ PERIOD _________

Copyright © The M

cGraw

-Hill Com

panies, Inc. Permission is granted to reproduce for classroom

use.Lesson 1 Skills PracticeDecimals and Fractions

Write each decimal as a fraction or mixed number in simplest form.

1. 0.6 2. 10.9 3. 0.08

4. 6.25 5. 4.125 6. 0.075

7. 9.35 8. 3.56 9. 8.016

10. 21.5 11. 0.055 12. 7.42

13. 5.006 14. 3.875 15. 1.29

Write each fraction or mixed number as a decimal.

16. 5 ! 8 17. 3 7 !

8 18. 9 2 !

5

19. 66 !!! 200

20. 3 !! 20

21. 6 5 ! 8

22. 5 2 ! 5 23. 12 3 !

8 24. 10 17 !!

20

25. 2 7 !! 16

26. 3 11 !! 16

27. 6 4 ! 5

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Page 3: NAME DATE PERIOD Lesson 1 Homework Practice · 2019-08-29 · Course 1 • Chapter 2 Fractions, Decimals, and Percents NAME _____ DATE _____ PERIOD _____ Lesson 1 Extra Practice Decimals

Course 1 • Chapter 2 Fractions, Decimals, and Percents

NAME __________________________________________ DATE ____________ PERIOD _______ Lesson 1 Extra Practice Decimals and Fractions

Write each decimal as a fraction or mixed number in simplest form.

1. 0.8 45 2. 0.32 825 3. 0.54 27

50

4. 0.4 25 5. 1.875 178 6. 0.9 9

10

7. 0.744 93125 8. 0.486 243

500 9. 0.448 56125

10. 5.08 5 225 11. 3.625 35

8 12. 12.05 12 120

Write each fraction or mixed number as a decimal.

13. 18 0.125 14. 7

10 0.7 15. 1120 0.55

16. 138 1.375 17. 9

20 0.45 18. 1516 0.9375

19. 825 0.32 20. 7

16 0.4375 21. 2 310 2.3

22. 635 6.6 23. 11

25 0.44 24. 4 425 4.16

Page 4: NAME DATE PERIOD Lesson 1 Homework Practice · 2019-08-29 · Course 1 • Chapter 2 Fractions, Decimals, and Percents NAME _____ DATE _____ PERIOD _____ Lesson 1 Extra Practice Decimals

18 Course 1 • Chapter 2 Fractions, Decimals, and Percents

NAME _____________________________________________ DATE __________________ PERIOD _________

Copyright © The M

cGraw

-Hill Com

panies, Inc. Permission is granted to reproduce for classroom

use.Lesson 1 Problem-Solving PracticeDecimals and Fractions

1. FIELD TRIP About 0.4 of a biology class will be going on a field trip. Write the decimal as a fraction in simplest form.

2. EARTH Eight tenths of all life on Earth is below the ocean’s surface. Write 0.8 as a fraction in simplest form.

3. DISTANCE The distance of planets from the Sun is shown in the table. Write each decimal as a mixed number in simplest form.

Planet Distance from the SunEarth 92.96 million milesMercury 35.99 million milesVenus 67.24 million miles

4. SATURN If you weighed 138 pounds on Earth, you would weigh 128.34 pounds on Saturn. Write the weight on Saturn as a mixed number in simplest form.

5. MERCURY The planet Mercury is roughly 2 !

5 the size of Earth. Write the

fraction as a decimal.

6. HEIGHT Winona is 2 3 !! 12

the height of her little brother. Write the mixed number as a decimal.

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NAME ________________________________________ DATE _____________ PERIOD _____Multi-Part

Lesson 1BPART

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22 Course 1 • Fractions, Decimals, and Percents

Enrich

Tagging AlongWhich of the fractions, 2 !

3 , 3 !

4 , 4 !

5 , or 9 !

10 ,

belongs on the “tag” on the number line at the right? The tag is to the right of 0.75, so the fraction must be greater than 0.75. Express each fraction as a decimal.

2 ! 3 " 0.67, 3 !

4 = 0.75, 4 !

5 = 0.8, 9 !

10 = 0.9

Only 0.8 and 0.9 are greater than 0.75, and 0.9 is much closer to 1 than to 0.75. Choose 0.8, which is equal to 4 !

5 .

On each number line, fill in the tags using the given fractions.

1. 3 ! 8 , 1 !

2 , 2 !

3 , 1 !

9 , 7 !

8 2. 4 !

3 , 3 !

4 , 6 !

5 , 5 !

8 , 15 !

16

0 0.25 0.5 0.75 1

0.5 0.75 1 1.25 1.5

3. 7 ! 4 , 6 !

5 , 15 !

8 , 3 !

2 , 4 !

3 4. 9 !

5 , 7 !

3 , 8 !

5 , 13 !

6 , 8 !

4

0 1.25 1.5 1.75 2

1.5 1.75 2 2.25 2.5

5. Write a fraction in simplest form for each tag on this number line. Use only the denominators 2, 3, 4, 5, 8, and 10. Express numbers greater than 1 as improper fractions.

10 0.5 1.5 2

0 0.25 0.5 0.75

?

1

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Course 1 • Chapter 2 Fractions, Decimals, and Percents 19

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Lesson 2 Homework PracticePercents and Fractions

Write each percent as a fraction in simplest form.

1. 60% 2. 16% 3. 4%

4. 35% 5. 10% 6. 1%

Write each fraction as a percent.

7. 6 !! 10

8. 8 !! 20

9. 8 !! 10

10. 3 ! 4 11. 7 !!!

100 12. 4 !!!

100

13. ENERGY The United States uses 24% of the world’s supply of energy. What fraction of the world’s energy is this?

14. ANALYZE TABLES The table shows the makeup of a New Year’s Eve television show. What fraction of the show will be for the audience to speak?

Part of the Show Introduction Skits Guests Audience

Percent 10% 25% 45% 20%

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Course 1 • Chapter 2 Fractions, Decimals, and Percents20

NAME _____________________________________________ DATE __________________ PERIOD _________

Copyright © The M

cGraw

-Hill Com

panies, Inc. Permission is granted to reproduce for classroom

use.Lesson 2 Skills PracticePercents and Fractions

Write each percent as a fraction in simplest form.

1. 50% 2. 30% 3. 55%

4. 75% 5. 80% 6. 76%

7. 24% 8. 68% 9. 44%

Write each fraction as a percent.

10. 17 !! 20

11. 9 !! 10

12. 1 !! 10

13. 19 !! 20

14. 18 !! 25

15. 21 !!! 100

16. 7 !! 20

17. 14 !! 25

18. 1 !! 20

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Course 1 • Chapter 2 Fractions, Decimals, and Percents

NAME __________________________________________ DATE ____________ PERIOD _______ Lesson 2 Extra Practice Percents and Fractions

Write each percent as a fraction in simplest form. 1. 13% 13

100 2. 25% 14 3. 8% 225

4. 15% 3

20 5. 60% 35 6. 70% 710

7. 45% 9

20 8. 14% 750 9. 40% 25

10. 12% 3

25 11. 85% 1720 12. 4% 1

25 Write each fraction as a percent. Use a model if needed.

13. 77

100 77% 14. 34 75% 15. 17

20 85%

16. 325 12% 17. 3

10 30% 18. 2750 54%

19. 25 40% 20. 350 6% 21. 1

5 20%

22. 1920 95% 23. 11

25 44% 24. 14 25%

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20 Course 1 • Chapter 2 Fractions, Decimals, and Percents

NAME _____________________________________________ DATE __________________ PERIOD _________

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-Hill Com

panies, Inc. Permission is granted to reproduce for classroom

use.

1. TOYS The Titanic Toy Company has a 4% return rate on its products. Write this percent as a fraction in simplest form.

2. MUSIC There are 4 trombones out of 25 instruments in the Landers town band. What percent of the instruments are trombones?

3. SHOPPING Cynthia’s favorite clothing store is having a 30% off sale. What fraction represents 30%?

4. SCHOOL In Janie’s class, 7 out of 25 students have blue eyes. What percent of the class has blue eyes?

5. BASKETBALL In a recent NBA season, Shaquille O’Neal made 60% of his field goals. What fraction of his field goals did Shaquille make?

6. RESTAURANTS On Saturday afternoon, 41 out of 50 telephone calls taken at The Overlook restaurant were for dinner reservations. What percent of the telephone calls were for dinner reservations?

7. HOMES The percent of students who live within different ranges of distances from the school was recorded in a table. What fraction of the students live less than one mile from the school?

Distance from School

Percent of Students

Less than 1 mile 15%

1– 5 miles 68%

More than 5 miles 17%

8. BOWLING The local bowling team won 13 out of 20 of their games this year. What percent of their games did the team win?

Lesson 2 Problem-Solving PracticePercents and Fractions

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34 Course 1 • Fractions, Decimals, and Percents

Shaded RegionsThe fractions or percents listed below each represent one of the shaded regions.

Match each fraction or percent with the shaded region it represents.

1. 1 ! 2 a. b. c.

2. 25 ! 64

3. 11 ! 16

4. 25% d. e. f.

5. 3 ! 4

6. 5 ! 8

7. 29 ! 64

g. h. i.

8. 37.5%

9. 7 ! 16

Enrich

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Course 1 • Chapter 2 Fractions, Decimals, and Percents 21

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Lesson 3 Homework PracticePercents and Decimals

Express each percent as a decimal.

1. 29% 2. 63% 3. 4% 4. 9%

5. 48% 6. 16% 7. 10% 8. 32%

9. ENERGY The United States gets about 39% of its energy from petroleum. Write 39% as a decimal.

10. SCIENCE About 8% of the earth’s crust is made up of aluminum. Write 8% as a decimal.

Express each decimal as a percent.

11. 0.45 12. 0.12 13. 0.68 14. 0.73

15. 0.2 16. 0.7 17. 0.95 18. 0.46

19. POPULATION In 2000, the number of people 65 years and older in Arizona was 0.13 of the total population. Write 0.13 as a percent.

20. GEOGRAPHY About 0.41 of Hawaii’s total area is water. What percent is equivalent to 0.41?

Replace each with <, >, or = to make a true sentence.

21. 26% 0.3 22. 0.9 9% 23. 4.7 47%

24. ANALYZE TABLES A batting average is the ratio of hits to at bats. Batting averages are expressed as a decimal rounded to the nearest thousandth. Show two different ways of finding how much greater Derek Jeter’s batting average was than Jorge Posada’s batting average. Express as a percent.

New York Yankees, 2009 Batting Statistics

Player Batting AverageDerek Jeter 0.334Alex Rodriguez 0.286Jorge Posada 0.285Hideki Matsui 0.274

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Course 1 • Chapter 2 Fractions, Decimals, and Percents22

NAME _____________________________________________ DATE __________________ PERIOD _________

Copyright © The M

cGraw

-Hill Com

panies, Inc. Permission is granted to reproduce for classroom

use.Lesson 3 Skills PracticePercents and Decimals

Write each percent as a decimal.

1. 5% 2. 8%

3. 37% 4. 12%

5. 29% 6. 54%

7. 48% 8. 79%

9. 3% 10. 6%

11. 20% 12. 59%

13. 23% 14. 92%

15. 15% 16. 31%

Write each decimal as a percent.

17. 0.3 18. 0.7

19. 0.19 20. 0.74

21. 0.66 22. 0.52

23. 0.21 24. 0.81

25. 0.13 26. 0.36

27. 0.28 28. 0.45

29. 0.94 30. 0.34

31. 0.26 32. 0.99

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Course 1 • Chapter 2 Fractions, Decimals, and Percents

NAME __________________________________________ DATE ____________ PERIOD _______ Lesson 3 Extra Practice Percents and Decimals

Write each percent as a decimal. 1. 5% 0.05 2. 22% 0.22 3. 50% 0.5 4. 56% 0.56 5. 75% 0.75 6. 1% 0.01 7. 100% 1 8. 37% 0.37 9. 19% 0.19 10. 9% 0.09 11. 90% 0.9 12. 4% 0.04 Write each decimal as a percent. 13. 0.02 2% 14. 0.2 20% 15. 0.03 3% 16. 0.07 7% 17. 0.66 66% 18. 0.11 11% 19. 0.35 35% 20. 0.31 31% 21. 0.09 9% 22. 0.71 71% 23. 0.24 24% 24. 0.08 8%

Page 14: NAME DATE PERIOD Lesson 1 Homework Practice · 2019-08-29 · Course 1 • Chapter 2 Fractions, Decimals, and Percents NAME _____ DATE _____ PERIOD _____ Lesson 1 Extra Practice Decimals

22 Course 1 • Chapter 2 Fractions, Decimals, and Percents

NAME _____________________________________________ DATE __________________ PERIOD _________

Copyright © The M

cGraw

-Hill Com

panies, Inc. Permission is granted to reproduce for classroom

use.Lesson 3 Problem-Solving PracticePercents and Decimals

1. COMMUTING According to the U.S. Census, 76% of U.S. workers commute to work by driving alone. Write 76% as a decimal.

2. BASEBALL A player’s batting average was 0.29 rounded to the nearest hundredth. Write 0.29 as a percent.

3. ELECTIONS In a recent U.S. midterm election, 39% of eligible adults voted. What is 39% written as a decimal?

4. BASKETBALL In a recent season, Jason Kidd of the Dallas Mavericks had a field goal average of 0.43 rounded to the nearest hundredth. What is 0.43 written as a percent?

5. SPORTS When asked to choose their favorite sport, 27% of U.S. adults who follow sports selected professional football. What decimal is equivalent to 27%?

6. DRINKS The table shows the percent of students in the sixth grade who chose each kind of drink as their favorite. Write the percent of students who chose tea as a decimal.

Drink Percent of Votes

Tea 22%Cocoa 5%Water 18%Milk 24%Juice 31%

7. WATER About 5% of the surface area of the U.S. is water. What decimal represents the amount of the U.S. surface area taken up by water?

8. POPULATION China accounts for 0.21 of the world’s population. What percent of the world’s population lives in China?

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Course 1 • Fractions, Decimals, and Percents 39

Percent and Per MillA percent is a ratio that compares a number to 100.

83 ! 100

= 83 percent = 83% = 0.83

A ratio that compares a number to 1,000 is called a per mill. Just like percent, the ratio per mill has a special symbol, ‰.

83 ! 1,000

= 83 per mill = 83‰ = 0.083

Throughout the world, the ratio that is used most commonly is percent. However, in some countries, you will find both ratios in use.

Express each per mill as a decimal.

1. 325‰ 2. 71‰ 3. 6‰

4. 900‰ 5. 20‰ 6. 100‰

Express each per mill as a fraction in simplest form.

7. 47‰ 8. 400‰ 9. 100‰

10. 25‰ 11. 150‰ 12. 30‰

Express each fraction as a per mill.

13. 729 ! 1,000

14. 58 ! 100

15. 7 ! 10

16. 1 ! 2 17. 3 !

4 18. 5 !

8

19. 4 ! 5 20. 17 !

20 21. 1 !

3

22. CHALLENGE In the United States, you will sometimes find the mill used as a monetary unit. What amount of money do you think is represented by 1 mill?

Enrich

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Course 1 • Chapter 2 Fractions, Decimals, and Percents 23

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Write each percent as a decimal and as a mixed number or fraction in simplest form.

1. 225% 2. 550% 3. 300% 4. 800%

5. 0.8% 6. 0.06% 7. 0.45% 8. 0.02%

Write each decimal as a percent.

9. 7.2 10. 12 11. 4.56 12. 1.04

13. 0.001 14. 0.008 15. 0.0078 16. 0.0092

Write each mixed number or fraction as a percent.

17. 4 1 ! 2 18. 8 1 !

4 19. 1 !!!

250 20. 3 !!!

400

Write each percent as a decimal.

21. 3 ! 8 % 22. 7 !!

10 % 23. 17 !!

20 % 24. 13 !!

25 %

25. ATMOSPHERE Helium gas accounts for less than 0.01% of Earth’s atmospheric gases. Write this percent as a decimal and as a mixed number or fraction in simplest form. Then interpret its meaning.

26. STOCKS The stock of a particular company skyrocketed 1,550% in a one-month period. Write this percent as a decimal and as a mixed number. Then interpret its meaning.

27. ANALYZE TABLES Refer to the table shown. Diameter Size Compared to the Sun’s Diameter

Planet PercentMercury 0.35%Venus 0.87%Earth 0.92%Mars 0.49%

a. Write the percent of Venus’s diameter compared to the Sun’s diameter as a decimal.

b. Which planet’s diameter is approximately

1 !!! 200

of the Sun’s diameter? Explain.

Lesson 4 Homework PracticePercents Greater Than 100% and Percents Less Than 1%

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Course 1 • Chapter 2 Fractions, Decimals, and Percents24

NAME _____________________________________________ DATE __________________ PERIOD _________

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panies, Inc. Permission is granted to reproduce for classroom

use.Lesson 4 Skills PracticePercents Greater Than 100% and Percents Less Than 1%

Write each percent as a decimal and as a mixed number or fraction in simplest form.

1. 900% 2. 150% 3. 675%

4. 245% 5. 120% 6. 0.2%

7. 0.08% 8. 0.12% 9. 0.35%

Write each decimal as a percent.

10. 3.9 11. 81 12. 25

13. 6.75 14. 2.81 15. 0.001

16. 0.0046 17. 0.0069 18. 0.0083

Write each number as a percent.

19. 6 1 ! 2 20. 2 1 !

2 21. 5 1 !

4

22. 1 !!! 200

23. 2 !!! 250

24. 3 !!! 500

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Course 1 • Chapter 2 Fractions, Decimals, and Percents

NAME __________________________________________ DATE ____________ PERIOD _______ Lesson 4 Extra Practice Percents Greater than 100% and Percents Less than 1%

Write each percent as a decimal and as a mixed number or fraction in simplest form. 1. 895% 8.95; 819

20 2. 555% 5.55; 51120 3. 480% 4.8; 44

5 4. 920% 9.2; 91

5 5. 122% 1.22; 11150 6. 0.3% 0.003;

7. 0.42% 0.0042; 8. 0.78% 0.0078; 9. 0.99% 0.0099; Write each mixed number as a percent.

10. 814 825% 11. 713

20 765% 12. 10 1,000%

13. 14 1,400% 14. 1615 1,620% 15. 44 3

10 4,430%

16. 1212 1,250% 17. 23

4 275% 18. 612 650%

Write each decimal as a percent. 19. 3.5 350% 20. 12 1,200% 21. 6.78 678% 22. 1.95 195% 23. 0.002 0.2% 24. 0.0077 0.77% 25. 0.0056 0.56% 26. 0.0064 0.64% 27. 0.0102 1.02%

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24 Course 1 • Chapter 2 Fractions, Decimals, and Percents

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use.

1. INTERNET Kilroy’s Web site business has increased every year for the last 3 years. Write the percent it increased during the second year as a decimal and as a fraction in lowest terms.

Year IncreaseFirst 148%Second 115%Third 186%

2. BUSINESS Jocelyn expects her new software company to increase its sales

next year 2 3 ! 4 times their present value.

Write this increase as a percent.

3. UTILITIES City records showed that 0.8% of new homes had no access to electricity. Write this percent as a decimal and as a fraction in simplest form.

4. PETS Berto got a puppy 8 weeks ago. In this time, the puppy’s weight increased 215%. Write this percent as a decimal and as a fraction.

5. MANUFACTURING The Quality Assurance department at a gear company found that there were 3 defective gears for every 500 produced. Write this as a fraction and as a percent.

6. MEDICINE Estelle’s pharmacist said that the medicine Estelle was taking

contained no more than 1 !!! 500

gram of

impurities per gram of total weight. Write this fraction as a percent.

Lesson 4 Problem-Solving PracticePercents Greater Than 100% and Percents Less Than 1%

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Lesson 2EPART

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44 Course 1 • Fractions, Decimals, and Percents

Enrich

Juan de la CiervaHelicopters became widely used in the early 1950s. However, did you know that a similar aircraft was developed in Spain nearly thirty years earlier? The inventor was Juan de la Cierva (1895–1936), and for many years his aircrafts were used in rescue work. The modern helicopter is faster and more versatile, but it retains many features of Cierva’s design.

Fill in the blanks below to find what Cierva called his aircraft. On the line next to the decimal, fraction, or mixed number, write the letter matching the answer. If you have found the percents correctly, the letters read downward will spell out the name of the aircraft.

1. 3 ! 2 A 150%

2. 0.006 G 0.029%

3. 3.2 I 0.006%

4. 2.9 O 350%

5. 0.00029 O 290%

6. 0.00006 R 0.5%

7. 1 ! 200

T 320%

8. 3 1 ! 2 U 0.6%

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Mixed Problem Solving

Use the solve a simpler problem strategy to solve Exercises 1–3.

1. ART An artist plans to make 1 clay pot the first week and triple the number of clay pots each week for 5 weeks. How many clay pots will the artist make the fifth week?

2. GEOGRAPHY The total area of Wisconsin is 65,498 square miles. Of that, about 80% is land area. About how many square miles of Wisconsin is not land area?

3. SCIENCE Sound travels through sea water at a speed of about 1,500 meters per second. At this rate, how far will sound travel in 2 minutes?

Use any strategy to solve Exercises 4–8.

4. MUSIC Tanya scored 50 out of 50 points in her latest piano playing evaluation. She scored 42, 48, and 45 on previous evaluations. What is the average score of her evaluations?

5. EXERCISE At the community center, 9 boys and 9 girls are playing singles table tennis. If each girl plays against each boy exactly once, how many games are played?

6. CLOCK The clock in the bell tower rings every half hour. How many times will it ring in one week?

7. VENN DIAGRAMS The Venn diagram shows information about the 100 sixth graders in the school.

How many more sixth graders in the school do not participate in band or chorus than do participate in band or chorus?

8. MONEY Kono wants to give $69 to charity. He will give each of 3 charities an equal amount of money. How much money will each charity receive?

Homework PracticeProblem-Solving Investigation: Solve a Simpler Problem

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panies, Inc. Permission is granted to reproduce for classroom

use.Skills PracticeProblem-Solving Investigation: Solve a Simpler Problem

Solve. Use the solve a simpler problem strategy.

1. SCHOOLS A total of 350 students voted on whether a marlin or a panther should be the new school’s mascot. If 30% of the students voted for the panther as the mascot, how many of the students voted for the panther?

2. READING Over the summer, Maggie plans to read one book the first week and double the number of books each week for the next 5 weeks. How many books will Maggie read in the sixth week?

3. GEOGRAPHY The total area of Michigan is 96,810 square miles. Of that, about 40% is water. About how many square miles of Michigan’s area is land?

4. ANIMALS A spider travels at a speed of 1.17 miles per hour. At this rate, about how far can a spider travel in 3 hours?

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26 Course 1 • Chapter 2 Fractions, Decimals, and Percents

NAME _____________________________________________ DATE __________________ PERIOD _________

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use.

1. FOOD Is $8 enough money to buy a dozen eggs for $1.29, one pound of ground beef for $3.99, and a gallon of milk for $2.09? Explain.

2. SURVEY The results of a favorite-juice survey are shown below. What percents best describe the data?

3. MONEY A total of 32 students are going on a field trip. Each student must pay $4.75 for travel and $5.50 for dining. About how much money should the teacher collect in all from the students?

4. TRAVEL Mr. Ishikawa left Jacksonville at 3:00 P.M. and arrived in Miami at 9:00 P.M., driving a distance of approximately 350 miles. During his trip, he took a one-hour dinner break. What was Mr. Ishikawa’s average speed?

5. BAKE SALE Oakdale Middle School received 240 contributions for its bake sale. If 30% of the contributions were pies, how many pies did the school receive?

6. BABYSITTING About how much more did Carrie earn babysitting in 2008 than in 2007?

Carrie’s Babysitting EarningsYear Earnings ($)2006 98.502007 149.002008 218.75

Problem-Solving PracticeProblem-Solving Investigation: Solve a Simpler Problem

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Course 1 • Chapter 2 Fractions, Decimals, and Percents 27

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Replace each with <, >, or = to make a true statement.

1. 11 !! 12

2 ! 3 2. 0.5 9 !!

18 3. 237.5 2 8 !!

24

4. 6 2 ! 3 6 12 !!

15 5. 5.75 5 8 !!

12 6. 2 !

3 10 !!

18

7. 18 !! 14

1 2 ! 7 8. 11 !!

12 2 1 !

3 9. 34 !!

18 1 5 !

6

Order the fractions from least to greatest.

10. 3 ! 5 , 1 !

4 , 1 !

2 , 2 !

5 11. 7 !

9 , 13 !!

18 , 5 !

6 , 2 !

3

12. 6 3 ! 4 , 6 1 !

2 , 6 5 !

6 , 6 3 !

8 13. 2 2 !

3 , 2 6 !!

15 , 2 3 !

5 , 2 4 !

9

14. MUSIC Ramundus is making a xylophone. So far, he has bars that are 1.75 feet,

1 7 !! 12

feet, and 1 2 ! 3 feet long. What is the length of the longest bar?

15. DANCE Alana practiced dancing for 11 !! 4 hours on Monday, 19 !!

8 hours on Wednesday, and

2.6 hours on Friday. On which day did she practice the closest to 2 hours? Explain your

reasoning.

Lesson 5 Homework PracticeCompare and Order Fractions, Decimals, and Percents

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Course 1 • Chapter 2 Fractions, Decimals, and Percents28

NAME _____________________________________________ DATE __________________ PERIOD _________

Copyright © The M

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-Hill Com

panies, Inc. Permission is granted to reproduce for classroom

use.Lesson 5 Skills PracticeCompare and Order Fractions, Decimals, and Percents

Replace each with <, >, or = to make a true statement.

1. 2 ! 3 3 !

4 2. 3 !

8 6 !

16 3. 5 !

8 7 !

12

4. 1 ! 2 6 !

7 5. 3 !

9 1 !

3 6. 1 !

6 0.9

7. 5 ! 6 7 !

8 8. 5 !

8 5 !

12 9. 4 !

5 2 !

3

10. 6 ! 7 80% 11. 5 !

12 3 !

16 12. 0.75 2 !

9

13. 5 ! 7 0.7 14. 2 !

15 1 !

6 15. 5 !

12 2 !

5

16. 2 3 ! 10

2 5 ! 14

17. 5 4 ! 9 5 3 !

7 18. 1 3 !

5 1 5 !

9

19. 4 1 ! 6 4 2 !

12 20. 1 7 !

9 1 4 !

7 21. 8.9 8 11 !

12

22. 3 1 ! 4 3.25 23. 6 8 !

9 6 7 !

8 24. 11 2 !

9 11 4 !

15

Order the fractions from least to greatest.

25. 3 ! 4 , 2 !

5 , 5 !

8 , 1 !

2 26. 1 !

3 , 2 !

7 , 3 !

14 , 1 !

6 27. 2 !

3 , 4 !

9 , 5 !

6 , 7 !

12

28. 4 ! 5 , 2 !

3 , 13 !!

15 , 7 !

9 29. 8 11 !!

12 , 8 5 !

6 , 8 3 !

4 , 8 9 !!

16 30. 2 7 !!

15 , 2 3 !

5 , 2 5 !!

12 , 2 1 !

2

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Course 1 • Chapter 2 Fractions, Decimals, and Percents

NAME __________________________________________ DATE ____________ PERIOD _______ Lesson 5 Extra Practice Compare and Order Fractions, Decimals, and Percents Fill in each with <, >, or = to make a true statement.

1. 79 0.6 > 2. 14

25 0.75 < 3. 0.33 2060 <

4. 512 0.44 < 5. 18

24 55% > 6. 67% 59 >

7. 1149 0.29 < 8. 5

14 0.33 > 9. 37% 0.37 =

10. 0.48 1125 > 11. 70% 21

25 < 12. 0.12 11% >

Order the numbers from least to greatest.

13. 38, 34, 12, 56 38, 12, 34, 56 14. 5

12, 35, 34, 12 512, 12, 35, 34 15. 5

9, 712, 34, 13

18 59, 712, 13

18, 34

16. 70%, 0.6, 23 0.6, 23, 70% 17. 0.8, 1720, 17% 17%, 0.8, 17

20 18. 61100, 0.65, 61.5%

61100, 61.5%, 0.65

19. 37, 0.44, 42% 42%, 37, 0.44 20. 0.15, 10.5%, 7

50 10.5%, 750, 0.15 21. 1

8, 0.81, 18% 18, 18%, 0.81

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28 Course 1 • Chapter 2 Fractions, Decimals, and Percents

NAME _____________________________________________ DATE __________________ PERIOD _________

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panies, Inc. Permission is granted to reproduce for classroom

use.Lesson 5 Problem-Solving PracticeCompare and Order Fractions, Decimals, and Percents

1. SHOES Toya is looking in her closet. Use the table to determine whether she has more black shoes or more brown shoes. Explain.

Shoe Color Fraction of Shoes

Black 1 ! 3

Brown 2 ! 5

Gray 4 !! 15

2. BUDGET Daniel spends 3 ! 7 of his money

on rent and 4 ! 9 of his money on food.

Does he spend more money on food or rent? Explain.

3. WOODWORKING Gabrielle drilled a hole

that is 5 ! 9 inch wide. She has a screw

that is 5 ! 6 inch wide. Is the hole wide

enough to fit the screw? Explain.

4. FOOD In a recent survey, 0.4 of the

people surveyed said their favorite food

was pizza, 25% said it was hot dogs,

and 3 !! 10

said it was popcorn. Which food

was favored by the greatest number of people? Explain.

5. OFFICE SUPPLIES A blue paper clip is 1 ! 6 inch wide. A silver paper clip is

3 ! 8 inch wide, and a red paper clip

is 1 ! 3 inch wide. What color paper clip

has the smallest width? Explain.

6. GUMBALLS A red gumball is 2 5 ! 8 inches

across. A green gumball is 2 5 ! 6 inches

across, and a blue gumball is 2 7 ! 9 inches

across. List the gumballs in order from

smallest to largest.

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56 Course 1 • Fractions, Decimals, and Percents

Compare Parts of a WholeShade each grid to show the given fraction, decimal, or percent. Then replace the with <, >, or = to make a true statement.

1. 13 ! 100

0.22

13 ! 100

0.22

2. 3 ! 10

33%

3 ! 10

33%

3. 49% 9 ! 20

49% 9 ! 20

4. 0.95 4! 5

0.95 4 ! 5

Enrich

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Lesson 6 Homework PracticeEstimate with Percents

Estimate each percent.

1. 51% of 62 2. 39% of 42 3. 78% of 148 4. 34% of 99

5. 74% of 238 6. 70% of 103 7. 22% of 152 8. 91% of 102

9. 26% of 322 10. 65% of 181 11. 98% of 60 12. 11% of 10

13. Estimate twenty-nine percent of forty-eight.

14. Estimate sixty-two percent of one hundred twenty-four.

Estimate the percent that is shaded in each figure.

15. 16. 17.

18. WORK Karl made $365 last month doing odd jobs after school. If 75% of the money he made was from doing yardwork, about how much did Karl make doing yardwork?

19. HOMEWORK Jin spent 32 hours on math and language arts homework last month. She spent about 30% of this total time on math. About how many hours were spent on math?

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panies, Inc. Permission is granted to reproduce for classroom

use.Lesson 6 Skills PracticeEstimate with Percents

Estimate each percent.

1. 50% of 39 2. 24% of 13 3. 19% of 31

4. 49% of 71 5. 27% of 81 6. 52% of 118

7. 19% of 94 8. 33% of 61 9. 58% of 5

10. 41% of 10 11. 75% of 17 12. 82% of 24

13. 73% of 61 14. 62% of 34 15. 38% of 42

16. 79% of 16 17. 91% of 82 18. 67% of 241

Estimate the percent of the figure that is shaded.

19. 20. 21.

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Course 1 • Chapter 2 Fractions, Decimals, and Percents

NAME __________________________________________ DATE ____________ PERIOD _______ Lesson 6 Extra Practice Estimate with Percents

Estimate each percent. 1–18. Sample answers are given. 1. 38% of 150 25 of 150 is 60. 2. 20% of 75 15 of 75 is 15. 3. 25% of 78 14 of 80 is 20. 4. 10% of 90 1

10 of 90 is 9. 5. 16% of 30 16 of 30 is 5. 6. 39% of 40 25 of 40 is 16. 7. 6% of 86 1

15 of 60 is 6. 8. 9% of 29 10% of 30 is 3. 9. 3% of 46 3

100 of 50 is 1.5. 10. 89% of 47 910 of 50 is 45.

11. 25% of 48 14 of 48 is 12. 12. 5% of 420 1

20 of 400 is 20. 13. 55% of 134 12 of 130 is 65. 14. 28% of 4 14 of 4 is 1. 15. 12% of 40 1

10 of 40 is 4. 16. 11% of 14 110 of 14 is 1.4.

17. 90% of 140 9

10 of 140 is 126. 18. 40% of 45 25 of 45 is 18.

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use.Lesson 6 Problem-Solving PracticeEstimate with Percents

1. SCHOOL The table shows how the 215 sixth-grade students at Westside School get to school. About how many of the sixth-grade students walk to school?

Way to School

Percent of Students

Bus 56%Car 20%Walk 24%

2. BASKETBALL In a recent regular season, the WNBA Houston Comets won 54.76% of their games. They had 42 games in their regular season. About how many games did they win?

3. SALES TAX The sales tax rate in Lacon is 9%. About how much tax would you pay on an item that costs $61?

4. SPORTS The concession stand at a football game served 178 customers. Of those, about 52% bought a hot dog. About how many customers bought a hot dog?

5. SLEEP A recent study shows that people spend about 31% of their time asleep. About how much time will a person spend asleep during an average 78-year lifetime?

6. BIOLOGY The human body is 72% water, on average. About how much water will be in a person that weighs 138 pounds?

7. MONEY A video game that originally costs $25.99 is on sale for 50% off. If you have $14, would you have enough money to buy the video game? Explain.

8. SHOPPING A store is having a 20% sale. That means the customer pays 80% of the regular price. If you have $33, will you have enough money to buy an item that regularly sells for $44.99? Explain.

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Using 100%, 10%, and 1%Many people think of 100%, 10%, and 1% as key percents.

100% is the whole. 100% of 24 = 1 ! 24 or 24.

10% is one tenth of the whole. 10% of 24 = 0.1 ! 24 or 2.4.

1% is one hundredth of the whole. 1% of 24 = 0.01 ! 24 or 0.24.

Find the percent of each number.

1. 100% of 8,000 2. 10% of 8,000

3. 1% of 8,000 4. 10% of 640

5. 100% of 720 6. 1% of 290

7. 1% of 50 8. 100% of 33

9. 10% of 14 10. 100% of 2

11. 1% of 9 12. 10% of 7

This is how you can use the key percents to make some computations easier.

3% of 610 = . 5% of 24 = .

1% of 610 = 6.1 10% of 24 = 2.4

So, 3% of 610 = 3 ! 6.1 or 18.3. So, 5% of 24 = 1 " 2 of 2.4 or 1.2.

Find the percent of each number.

13. 2% of 140 14. 8% of 2,100

15. 4% of 9 16. 20% of 233

17. 70% of 90 18. 30% of 4,110

19. 5% of 160 20. 5% of 38

21. 50% of 612 22. 25% of 168

23. 2.5% of 320 24. 2.5% of 28

??

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Lesson 7 Homework PracticePercent of a Number

Find the percent of each number.

1. 28% of 70 2. 160% of 19

3. 0.9% of 54 4. 15% of 376

5. 44% of 205 6. 9% of 600

7. 1.4% of 85 8. 550% of 22

9. 0.68% of 425 10. 2.8% of 32

11. BASKETBALL At basketball practice, team members record the number of shots they take and the number of times they score. Find the number of shots each team member made during a practice.

12. SHOPPING Chen wants to buy a pair of pants that regularly costs $54. Today, the pants are on sale for 60% of the original price. How much will Chen have to pay for the pants?

Student Percent of Shots Made

Total Number of Shots

Awan 75% 28

Isi 60% 35

Wade 72% 25

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use.Lesson 7 Skills PracticePercent of a Number

Find the percent of each number.

1. 15% of 82 2. 256% of 75

3. 0.5% of 50 4. 76% of 450

5. 85% of 30 6. 0.8% of 56

7. 16% of 75 8. 430% of 50

9. 0.44% of 375 10. 15% of 620

11. 250% of 24 12. 0.5% of 600

13. 65% of 140 14. 0.6% of 25

15. 0.75% of 50 16. 160% of 80

17. YARDWORK Mr. Simpson spent 5 hours working on his lawn. If he spent 25% of the time edging the flower beds, how much time did he spend edging?

18. SHIPPING Aurelia is buying a new computer. The shipping cost is 8% of the purchase price. If Aurelia’s computer costs $585, how much will it cost to have it shipped?

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NAME __________________________________________ DATE ____________ PERIOD _______ Lesson 7 Extra Practice Percent of a Number

Find the percent of each number. 1. 5% of 40 2 2. 10% of 120 12 3. 12% of 150 18 4. 12.5% of 40 5 5. 75% of 200 150 6. 13% of 25.3 3.289 7. 250% of 44 110 8. 0.5% of 13.7 0.0685 9. 600% of 7 42 10. 1.5% of 25 0.375 11. 81% of 134 108.54 12. 43% of 110 47.3 13. 61% of 524 319.64 14. 100% of 3.5 3.5 15. 20% of 58.5 11.7 16. 45% of 125.5 56.475 17. 23% of 500 115 18. 80% of 8 6.4 19. 90% of 72 64.8 20. 32% of 54 17.28 21. 8% of 20 1.6

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1. How many of the students want to be teachers?

2. How many students want to work as doctors or nurses?

3. How many students did not want to be lawyers?

4. SCHOOL The school took in $875 at the bake -sale fundraiser. Sixty-eight percent of the money came from cupcake sales. How much money did the school make selling cupcakes?

5. THEME PARK Eduardo spent 35% of his time at the theme park on roller coasters. If he was there for 8 hours, how much time did he spend on roller coasters?

6. TRACK Jesse was in the lead for 75% of the laps during the track race. If the race lasted 12 laps, how many laps did Jesse lead?

Lesson 7 Problem-Solving PracticePercent of a Number

CAREERS The results of a survey about what 432 students would like as a career are shown below. Use the graph to answer Exercises 1–3. Round to the nearest whole number if necessary.

Future Careers

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Comparison ShoppingAbrianna is buying clothes for school. She needs 3 pairs of pants, 2 new shirts, 6 pairs of socks, and a new backpack. The two stores she has checked are both having sales. Help Abrianna decide where she should buy each item by finding the total sale amount she would spend for each item at each store. Then, under each store, list the items she should buy from it and the total amount she would spend there.

Alphie’s Department Store

Item Regular Price Percent Off

Shirts $24.50 25%

Pants $32.75 40%

Socks $4 for 3 pairs 10%

Backpacks $18 15%

Sophie’s Clothing Outlet

Item Regular Price Percent Off

Shirts $26 40%

Pants $28.50 20%

Socks $3 for 2 pairs 15%

Backpacks $16 30%

Buy from Alphie’s

Item Cost

Buy from Sophie’s

Item Cost

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Lesson 8 Homework PracticeSolve Percent Problems

Write a proportion and solve each problem.

1. What percent of 600 is 12? 2. $4 is what percent of $50? 3. What number is 35% of 20?

4. 15% of 20 is what number? 5. 13 is 26% of what number? 6. 10 is 40% of what number?

7. What percent of 400 is 72? 8. 1% of what number is 7? 9. 33 is 50% of what number?

10. What number is 3% of 100? 11. What percent of 200 is 6?

12. What number is 15% of 40? 13. What number is 60% of 600?

14. What percent of 300 is 300? 15. 10% of what number is 30?

16. ALLOWANCE Mallorie has $5 in her wallet. If this is 10% of her monthly allowance, what is her monthly allowance?

17. WEDDING Of the 200 guests invited to a wedding, 154 attended the wedding. What percent of the invited guests attended the wedding?

18. CAMERA The memory card on Melcher’s digital camera can hold about 400 pictures. Melcher used 24% of the memory card while taking pictures at a family reunion. How many pictures did Melcher take at the family reunion?

19. OCEANS Use the table shown.

a. The area of the Indian Ocean is what percent of the area of the Pacific Ocean? Round to the nearest whole percent.

b. If the area of the Arctic Ocean is 16% of the area of the Atlantic Ocean, what is the area of the Arctic Ocean? Round to the nearest whole million.

Ocean Area (square miles)

Pacific 64 million

Atlantic 32 million

Indian 25 million

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use.Lesson 8 Skills PracticeSolve Percent Problems

Write a proportion and solve each problem.

1. 40 is 20% of what number? 2. What percent of 20 is 4?

3. What number is 70% of 200? 4. 10 is 5% of what number?

5. What number is 45% of 200? 6. 41% of what number is 82?

7. What percent of 300 is 36? 8. 60 is 25% of what number?

9. What number is 32% of 1,000? 10. What percent of 500 is 5?

11. 73 is 20% of what number? 12. 58% of 50 is what number?

13. What percent of 200 is 34? 14. 20 is what percent of 400?

15. 85% of 20 is what number? 16. 12 is 24% of what number?

17. What percent of 600 is 24? 18. 6% of 400 is what number?

19. What is 82% of 200? 20. What percent of 900 is 18?

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Course 1 • Chapter 2 Fractions, Decimals, and Percents

NAME __________________________________________ DATE ____________ PERIOD _______ Lesson 8 Extra Practice Solve Percent Problems

Write a percent proportion and solve each problem. 1. 39 is 5% of what number? 39 = 5

100; 780 2. 38 is 19% of what number? 38 = 19100; 200

3. 6 is 20% of what number? 6 = 20

100; 30 4. 21 is 30% of what number? 21 = 30100; 70

5. 45 is 25% of what number? 45 = 25

100; 180 6. 8 is 25% of what number? 8 = 25100; 32

7. 62 is 50% of what number? 62 = 50

100; 124 8. 90 is 36% of what number? 90 = 36100; 250

9. 15 is 60% of what number? 15 = 60

100; 25 10. 93 is 50% of what number? 93 = 50100; 186

11. 66 is 75% of what number? 66 = 75

100; 88 12. 9 is 15% of what number? 9 = 15100; 60

13. 15 is 20% of what number? 15 = 20

100; 75 14. 22 is 25% of what number? 22 = 25100; 88

15. 6 is 75% of what number? 6 = 75

100; 8 16. 31 is 20% of what number? 31 = 20100; 155

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1. DRIVING Mudrik installed a device on his car that guaranteed to increase his gas mileage by 10%. He currently gets 30 miles per gallon. How much will the gas mileage increase after installing the device?

2. POPULATION The number of students at Marita’s school decreased to 90% of last year’s number. Last year, there were 1,500 students. How many students are there this year?

3. VOTING Yolanda’s club has 50 members. Its rules require that 60% of them must be present for any vote. At least how many members must be present to have a vote?

4. GARBAGE This month, Chun’s office produced 700 pounds of garbage. Chun wants to reduce the weight of garbage produced to 85% of the weight produced this month. What is the target weight for the garbage produced next month?

5. SALARIES Yara just received a 6% raise in salary. Before the raise, she was making $52,000 per year. How much more will Yara earn next year?

6. SPORTS Sally’s soccer team played 25 games and won 17 of them. What percent did the team win?

Lesson 8 Problem-Solving PracticeSolve Percent Problems

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Made in the Shade

To shade 25% of the figure at the right, ask yourself how many of the eight squares need to be shaded. Then use the percent proportion to find the answer.

=

100x = 8 × 25

=

x = 2

If you shade two squares, you have shaded 25% of the figure.

Shade the indicated percent of each diagram.

3. Shade 20 %. 1. Shade 60%. 2. Shade 27.5%.

Shade the indicated percent of each diagram. Divide the squares in each diagram into smaller rectangles if necessary.

15. Shade 70%. 16. Shade 62.5%.

17. Shade 27.5%. 18. Shade 28.125%.

Course 1 15