Click Name Here Date Class Reteach LESSON 8-8 Percents, Decimals, and Fractions You can write decimals as percents. To write 0.5 as a percent, multiply the decimal by 100%. 0.5 • 100% ! 50% To multiply a number by 100, move the decimal point two places to the right. 0.50 So, 0.5 ! 50%. Write each decimal as a percent. 1. 0.8 2. 0.64 3. 0.075 4. 0.29 You can solve a proportion to write a fraction as percent. 3 To write !4! as a percent, first set up a proportion. x 3 !! ! !! 100 4 3 • 100 ! 4 • x The cross products are equal. 300 ! 4x 4x 300 !! ! !! 4 4 x is multiplied by 4. Divide both sides by 4. x ! 75 75 3 ! So, !4! ! ! 100 75 3 !! ! 75%, So, !! ! 75%. 100 4 Write each fraction as a percent. 4 5. !5! 1 9. !4! Copyright © by Holt, Rinehart and Winston. All rights reserved. 9 6. !1! 0 5 10. !6! 1 7. !8! 3 11. !4! 76 7 8. !2! 5 1 12. !5! Holt Middle School Math Course 1 Practice C 8-8 Percents, Decimals, and Fractions Practice B 8-8 Percents, Decimals, and Fractions LESSON LESSON Write each decimal as a percent and as a fraction or mixed number. Write each decimal as a percent. 1. 0.03 2. 0.92 3% 3. 0.18 4. 0.49 96%; !2! 5 9% 4. 0.65 65%; !2! 0 100% 7. 1.13 ! 113%; 1! 100 18% 5. 0.7 49% 6. 0.09 70% 7. 0.26 8. 0.11 26% 24 1. 0.96 92% 2 10. !5! 1 11. !5! 40% 1 ! 13. ! 20 1 14. !5! 0 5% 4 15. !5! 0 2% " 18. 0.5 7 20. !9! # # 8. 2.08 208%; 2!2! 5 28%; !2! 5 6. 0.005 ! 0.5%; ! 200 9. 3.002 ! 300.2%; 3! 500 8 1 2 1 12 92%; 0.92 22 ! 11. ! 27 81%; 0.81 15 ! 12. ! 26 58%; 0.58 9 29%; 0.29 34 ! 14. ! 35 97%; 0.97 11 ! 15. ! 23 48%; 0.48 70% ! 10. ! 13 8% ! 13. ! 31 Compare. Write ", #, or !. Compare. Write ", #, or ! . 16. 60% 32%; !2! 5 3. 0.28 Write each fraction as a percent and as a decimal. Round to the nearest hundredth if necessary. 7 12. !1! 0 20% 5. 0.32 13 Write each fraction as a percent. 7 4%; !2! 5 13 9. 1.0 11% 1 2. 0.04 2 !! 3 17. 0.4 5% 1 ! 19. ! 100 ! 3 21. !1! 0 72% 2 !! 5 " " 0.03 12 ! 16. ! 17 " 77% 17. 0. 18 11 ! 18. ! 50 ! 0.22 21 19. !3! 3 " 80% # 9 !! 32 5 21. !1! 6 # 28% 20. 0.4 " 11 !! 25 1 22. During a sale, everything in the store was !5! off the ticketed 35% price. What percent of an item’s original price should you expect to pay? 3 22. Bradley completed !5! of his homework. What percent of his homework does he still need to complete? 80% 23. Your teacher has offered you a choice for your 50 homework problems. You can do 48% of the problems, all of the 3 even-numbered problems, or !5! of the problems. Which option will you choose? How many problems will you have to do for homework? 40% 23. After reading a book for English class, 100 students were asked whether or not they enjoyed it. Nine twenty-fifths of the students did not like the book. How many students liked the book? 64 students Answers will vary, but most students will choose the option with the fewest problems: 48% of the problems or 24 problems. 74 Copyright © by Holt, Rinehart and Winston. All rights reserved. Holt Middle School Math Course 1 Reteach 8-8 Percents, Decimals, and Fractions Challenge 8-8 Trash or Treasure? You can write decimals as percents. People in the United States produce about 208 million tons of garbage every year! We recycle about 56 million tons of that garbage, or about 27% of the total. To write 0.5 as a percent, multiply the decimal by 100%. 0.5 • 100% ! 50% To multiply a number by 100, move the decimal point two places to the right. 0.50 Write each decimal as a percent. 80% 3. 0.075 64% 4. 0.29 7.5% United States Recycling Material Total Garbage Recycled Fraction Percent 29% You can solve a proportion to write a fraction as percent. 3 To write !4! as a percent, first set up a proportion. 4x 300 !! ! !! 4 4 17% Glass 3 !! 50 6% Paper 29 !! 50 58% Plastics 1 !! 50 2% 7 !! 100 7% All Other Materials The cross products are equal. 300 ! 4x 10% 17 !! 100 Yard Waste x 3 !! ! !! 100 4 3 • 100 ! 4 • x 1 !! 10 Metals Complete the chart at right. Then display the percents on the circle graph below. Remember to give your graph a title. Label each section of the graph with the material and the percent of the total garbage recycled that each section represents. You may wish to color each section differently or add illustrations. So, 0.5 ! 50%. 2. 0.64 Holt Middle School Math Course 1 LESSON LESSON 1. 0.8 75 Copyright © by Holt, Rinehart and Winston. All rights reserved. x is multiplied by 4. Divide both sides by 4. x ! 75 75 3 ! So, !4! ! ! 100 United States Recycling 75 3 !! ! 75%, So, !! ! 75%. 100 4 All Other Materials 7% Plastics 2% Metals 10% Write each fraction as a percent. 9 ! 6. ! 10 4 5. !5! 80% 1 9. !4! 90% 12.5% 5 10. !6! 25% Copyright © by Holt, Rinehart and Winston. All rights reserved. 7 8. !2! 5 1 7. !8! 3 11. !4! 83.3% 75% 76 Copyright © by Holt, Rinehart and Winston. All rights reserved. 28% Yard ard Waste Waste 17% Glass 6% 1 12. !5! 20% Holt Middle School Math Course 1 Copyright © by Holt, Rinehart and Winston. All rights reserved. 125 Paper 58% 77 Holt Middle School Math Course 1 Holt Middle School Math Course 1
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