(7.1) Number, operation, and quantitative reasoning.

1. 7.1B STUDENT ACTIVITY #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.

2. Part I: How do I convert ½ to a decimal? numerator denominator 0.5 Divide the ___________ by the ___________ . The quotient is ___________ . Therefore, ___________ is the decimal equivalent to ½. 0.5 Write a decimal equivalent for the fraction in each box. = 0.___ = 0.___ = 0.___ = 0.___ = 0.___ 2 3 1 8 4 5 2 8 3 5 For each fraction converted to a decimal, divide the ___________ by the ___________ . The quotient is the ___________ ___________ of the fraction.

3. Top In Bottom Out 2 0 6 6 3 3 .0 . 0 0 2 -18 2

4. Part I: How do I convert ½ to a decimal? numerator denominator 0.5 Divide the ___________ by the ___________ . The quotient is ___________ . Therefore, ___________ is the decimal equivalent to ½. 0.5 Write a decimal equivalent for the fraction in each box. = 0.___ = 0.___ = 0.___ = 0.___ = 0.___ 2 3 1 8 4 5 2 8 3 5 67 For each fraction converted to a decimal, divide the ___________ by the ___________ . The quotient is the ___________ ___________ of the fraction.

5. Top In Bottom Out 1 0 1 2 5 8 8 . .0 0 0 0 0 1 -8 2 -16 4

6. Part I: How do I convert ½ to a decimal? numerator denominator 0.5 Divide the ___________ by the ___________ . The quotient is ___________ . Therefore, ___________ is the decimal equivalent to ½. 0.5 Write a decimal equivalent for the fraction in each box. = 0.___ = 0.___ = 0.___ = 0.___ = 0.___ 2 3 1 8 4 5 2 8 3 5 125 67 For each fraction converted to a decimal, divide the ___________ by the ___________ . The quotient is the ___________ ___________ of the fraction.

7. Top In Bottom Out 4 0 8 5 5 .0 . 4 -40 0

8. Part I: How do I convert ½ to a decimal? numerator denominator 0.5 Divide the ___________ by the ___________ . The quotient is ___________ . Therefore, ___________ is the decimal equivalent to ½. 0.5 Write a decimal equivalent for the fraction in each box. = 0.___ = 0.___ = 0.___ = 0.___ = 0.___ 2 3 1 8 4 5 2 8 3 5 125 8 67 For each fraction converted to a decimal, divide the ___________ by the ___________ . The quotient is the ___________ ___________ of the fraction.

9. Top In Bottom Out 2 0 2 5 8 8 .0 . 0 0 2 -16 4 -40

10. Part I: How do I convert ½ to a decimal? numerator denominator 0.5 Divide the ___________ by the ___________ . The quotient is ___________ . Therefore, ___________ is the decimal equivalent to ½. 0.5 Write a decimal equivalent for the fraction in each box. = 0.___ = 0.___ = 0.___ = 0.___ = 0.___ 2 3 1 8 4 5 2 8 3 5 125 8 67 25 For each fraction converted to a decimal, divide the ___________ by the ___________ . The quotient is the ___________ ___________ of the fraction.

11. Top In Bottom Out 3 0 6 5 5 .0 . 3 -30 0

12. Part I: How do I convert ½ to a decimal? numerator denominator 0.5 Divide the ___________ by the ___________ . The quotient is ___________ . Therefore, ___________ is the decimal equivalent to ½. 0.5 Write a decimal equivalent for the fraction in each box. = 0.___ = 0.___ = 0.___ = 0.___ = 0.___ 2 3 1 8 4 5 2 8 3 5 125 8 6 67 25 For each fraction converted to a decimal, divide the ___________ by the ___________ . The quotient is the ___________ ___________ of the fraction. numerator denominator decimal equivalent

13. Part II: How do I convert 0.25 to a fraction? place 100 value decimal 25 digits 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. decimal right _25_ 100 Write a fraction equivalent for the decimal in each box. 0.4 = 0.625 = 0.375 = 0.5 = 0.75 = 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 _________.

14. . ones tenths hundredths thousandths 75 100 0 . 7 5

15. Part II: How do I convert 0.25 to a fraction? place 100 value decimal 25 digits 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. decimal right _25_ 100 Write a fraction equivalent for the decimal in each box. 0.4 = 0.625 = 0.375 = 0.5 = 0.75 = 75 100 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 _________.

16. . ones tenths hundredths thousandths 5 10 0 . 5

17. Part II: How do I convert 0.25 to a fraction? place 100 value decimal 25 digits 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. decimal right _25_ 100 Write a fraction equivalent for the decimal in each box. 0.4 = 0.625 = 0.375 = 0.5 = 0.75 = 5 10 75 100 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 _________.

18. . ones tenths hundredths thousandths 4 10 0 . 4

19. Part II: How do I convert 0.25 to a fraction? place 100 value decimal 25 digits 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. decimal right _25_ 100 Write a fraction equivalent for the decimal in each box. 0.4 = 0.625 = 0.375 = 0.5 = 0.75 = 5 10 4 10 75 100 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 _________.

20. . ones tenths hundredths thousandths 625 1000 0 . 6 2 5

21. Part II: How do I convert 0.25 to a fraction? place 100 value decimal 25 digits 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. decimal right _25_ 100 Write a fraction equivalent for the decimal in each box. 0.4 = 0.625 = 0.375 = 0.5 = 0.75 = 5 10 4 10 625 1000 75 100 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 _________.

22. . ones tenths hundredths thousandths 375 1000 0 . 3 7 5

23. Part II: How do I convert 0.25 to a fraction? place 100 value decimal 25 digits 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. decimal right _25_ 100 Write a fraction equivalent for the decimal in each box. 0.4 = 0.625 = 0.375 = 0.5 = 0.75 = 5 10 4 10 625 1000 375 1000 75 100 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 _________. place value point decimal digits decimal point numerator

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

25. 6 0 6 %

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

27. 3 0 5 %

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

29. 2 0 5 %

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

31. 6 5 0 2 %

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

33. 8 0 0 %

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

35. Part IV: How do I convert ¾ to a percent? fraction decimal numerator denominator 0.75 0.75 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 ________. decimal percent decimal point right percent 75% ¾ Write a percent equivalent for the fraction in each box. = ___% = ___% = ___% = ___% = ____% 1 3 3 4 2 5 4 8 7 8 75 40 87.5 33 50 divide 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. numerator denominator decimal 100 percent

36. Top In Bottom Out 1 3 3 3 0 3 . .0 0 0 1 0 3 3 % -9 1

37. Top In Bottom Out 3 4 7 5 0 4 . .0 0 0 3 0 7 5 % -28 2

38. Top In Bottom Out 2 5 4 0 5 .0 . 2 0 4 0 % -20 0

39. Top In Bottom Out 4 8 5 0 8 .0 . 4 0 5 0 % -40 0

40. Top In Bottom Out 7 8 8 7 5 0 8 .0 . 0 0 0 0 7 0 8 7 5 % -64 6 -56 4

41. Part V: How do I convert 6.75 to a percent? decimal point right percent 675% 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. 3.35 = ___% 12.08 = ____% 1.20 = ___% 3.63 = ____% 9.091 = _____% 335 1208 120 363 909.1 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. right decimal point percent right 909.1

42. 3 3 5 %

43. 0 1 2 8 %

44. 2 1 0 %

45. 6 3 3 %

46. 0 9 9 % 1

47. 7.1B STUDENT ACTIVITY #2 (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.

48. Part I: How do I convert 3.275 to a mixed fraction? 3 whole number fraction left decimal 1000 place value decimal 275 digits right decimal I use ________ as the ________ ________ part of the ________ because it is to the ________ of the ________ point. I use ________ as the denominator because it is the ________ ________ of the digit farthest to the right of the ________ point. I use ________ as the numerator because they are the ________ to the ________ of the ________ point. Therefore, ________ is the mixed fraction equivalent to 3.275. 275 1000 3 Write a mixed fraction equivalent for the decimal in each box. 21.5 = _____ 33.2 = _____ 8.75 = _____ 1.25 = _____ 87.4 = _____ 5 10 2 10 75 100 25 100 4 10 21 33 8 1 87 For each decimal number I convert to a mixed number, I use the ________ ________ of the digit farthest to the right of the ________ ________ as the denominator. I then use the ________ to the right of the ________ ________ as the ________. Finally, I use any ________ to the left of the decimal point as the ________-number part of the ________ fraction. place value decimal point digits decimal point numerator digits whole mixed

49. . tens ones tenths hundredths thousandths 5 21 1 . 5 2 10

50. . tens ones tenths hundredths thousandths 2 33 3 . 2 3 10