1. (7.1) Number, operation, and quantitative reasoning. The student represents and uses rational numbers in a variety of equivalent forms. The student is expected to: (B) convert between fractions, decimals, whole numbers, and percents mentally, on paper, or with a calculator. 7.1B STUDENT ACTIVITY #1

2. Part I: How do I convert ½ to a decimal? Divide the ___________ by the ___________. The quotient is ___________. Therefore, ___________ is the decimal equivalent to ½. Write a decimal equivalent for the fraction in each box. For each fraction converted to a decimal, divide the ___________ by the ___________. The quotient is the ___________ ___________ of the fraction. numeratordenominator 0.5 numeratordenominator decimalequivalent = 0.___ 2323 67 125 8 25 6 3535 2828 4545 1818

3. 2 3 2 3 0.0. 6 -18 2 00 T op I n B ottom O ut 6

4. 1 8 1 8 0.0. 1 -8 2 00 2 -16 4 00 5 T op I n B ottom O ut

5. 4 5 4 5 0.0. 8 -40 0 T op I n B ottom O ut

6. 2 8 2 8 0.0. 2 -16 4 00 5 -40 T op I n B ottom O ut

7. 3 5 3 5 0.0. 6 -30 0 T op I n B ottom O ut

8. Part II: How do I convert 0.25 to a fraction? Use ________ as the denominator because it is the ________ ________ of the digit farthest to the right of the ________ point. Use ________ as the numerator because they are the ________ to the ________ of the ________ point. Therefore, ___________ is the fraction equivalent to 0.25. Write a fraction equivalent for the decimal in each box. For each decimal converted to a fraction, use the _________ _________ of the digit farthest to the right of the _________ _________ as the denominator. Then use the _________ to the right of the _________ _________ as the _________. 100 place valuedecimal 25digits right decimal _25_ 100 place value decimal point digits decimal pointnumerator 0.75 = 75 100 0.5 = 5 10 0.4 =0.625 =0.375 = 375 1000 625 1000 4 10

9. 075. 100 75

10. 05. 10 5

11. 04. 4

12. 062. 1000 625 5

13. 037. 1000 375 5

14. Part III: How do I convert 0.75 to a percent? Move the ________ ________ two places to the ________. Put a ________ sign after the number to replace the ________ point. Therefore, ________ is the percent equivalent to 0.75. Write a percent equivalent for the decimal in each box. For each decimal converted to a percent, ________ the decimal by ________. Place a ________ sign after the product. decimalpointright percentdecimal 75% multiply 100percent 0.6 = ___% 66 0.35 = ___% 35 0.25 = ___% 25 0.625 = ____% 62.5 0.80 = ___% 80

15. 0 6 6 %

16. 0 3 5 %

17. 0 2 5 %

18. 0 6 2 % 5

19. 0 8 0 %

20. Part IV: How do I convert ¾ to a percent? Convert the ________ to a ________. Divide the ________ by the __________. The quotient is ______. Therefore, ________ is the decimal equivalent to ¾. Then, convert the ________ to a ________. Move the ________ ________ two places to the ________. Put a ________ sign after the number. The decimal point can be omitted if it is to the right of all the digits. Therefore, ________ is the percent equivalent to 0.75, and therefore is the percent equivalent to the fraction ________. Write a percent equivalent for the fraction in each box. For each fraction converted to a percent, ________ the ________ by the __________. Convert the ________ to a percent by multiplying by ________ and writing a ________ sign after the product. = ___% 1313 = ____% 33 75 40 50 87.5 7878 4848 2525 3434 fractiondecimal numeratordenominator0.75 decimalpercent decimalpointright percent 75% ¾ divide numeratordenominator decimal 100percent

21. 1 3 1 3 0.0. 3 -9 1 00 033 % 3 T op I n B ottom O ut

22. 3 4 3 4 0.0. 7 -28 2 00 075 % 5 T op I n B ottom O ut

23. 2 5 2 5 0.0. 4 -20 0 040 % T op I n B ottom O ut

24. 4 8 4 8 0.0. 5 -40 0 050 % T op I n B ottom O ut

25. 7 8 7 8 0.0. 8 -64 6 00 087 % 7 -56 0 4 0 5 5 T op I n B ottom O ut

26. Part V: How do I convert 6.75 to a percent? Move the ________ ________ two places to the ________. Put a ________ sign after the number. Therefore, ________ is the percent equivalent to 6.75. Write a percent equivalent for the mixed decimal in each box. For each decimal I converted to a percent, I move the ________ ________ two places to the ________. Then I put a ________ sign after the number. If the decimal point is to the ________ of the digits, I do not have to write it in the percent number. ________ is the only one of these percents above that I must write the decimal point. decimalpointright percent 675% 3.35 = ___% 335 12.08 = ____% 1208 1.20 = ___% 120 3.63 = ____% 363 9.091 = _____% 909.1 decimalpoint right percent right 909.1

27. 3 3 5 %

28. 2 0 8 % 1

29. 1 2 0 %

30. 3 6 3 %

31. 9 0 9 % 1