1-1 The Rational Numbers Name Date
A rational number is a number that can be 5 a Write 6 as a decimal. expressed in the form , where a and b are 08333. b • Divide 5 by 6. 6͒50000. 222 integers and b 0. • Use an ellipsis or 5 A rational number can be written as a an overbar to show 6 0.8333. . . 0.83 terminating or repeating decimal. that the 3s repeat. 5 So in decimal form, 6 0.8333. . . 0.83.
Write a rational number for each expression. 1. 5.03 km underwater 2. a deposit of $141.15 3. 20.4 below zero 5.03 141.15 or 141.15 20.4 2 4. loss of 15 yards 5. a gain of $16.25 6. down 43 points 2 4 15 16.25 or 16.25 3
7. withdrawal of $50 8. 5 more minutes 9. down 21 fl oors 50 5 or 5 21
a Show that each number is rational by writing it in the form b , where a and b are integers and b fi 0. Possible answers shown. 1 3 1 10. 32 11. 7 12. 82 13. 45 14. 563 15. 6 32 7 17 23 169 6 1 1 2 5 3 1
16. 7 9 17. 362 18. 175 19. 302 20. 51 21. 312 10 7 9 4 79 254 175 272 21 312 10 7 1 9 4 1
Write each fraction or mixed number in decimal form. 1 3 11 7 8 15 22. 4 23. 5 24. 20 25. 410 26. 25 27. 16 0.25 0.6 0.55 4.7 0.32 0.9375 43 9 7 2 5 17 28. 1950 29. 16 30. 8 31. 9 32. 8 33. 118 19.86 0.5625 0.875 0.2 0.625 1.94 Copyright © by William H. Sadlier, Inc. All rights reserved. 3 1 3 5 9 13 34. 511 35. 419 36. 5 8 37. 1212 38. 911 39. 81118 5.27 41.1 5.375 12.416 9.81 811.72
Lesson 1-1, pages 2–3. Chapter 1 1
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Tell which of the following terms describes each number: natural number, whole number, integer, rational number. (List all that apply.) 40. 13 41. 8 42. 7.52 natural number, whole number, integer, rational number integer, rational number rational number
43. 0 44. 21 45. 3 whole number, integer, 7integer, rational 4 rational number number rational number
Tell whether each statement is TRUE or FALSE. 46. 5.86 is a rational number 47. 2 is an integer but not a 48. 14 is an integer and a but not an integer. rational number. rational number.
TRUE FALSE TRUE
49. 21 is an integer and a 50. 35 is a whole number and 51. 28 is natural number but 2 7 4 rational number. a rational number. not an integer.
FALSE FALSE FALSE
52. A repeating decimal cannot 53. Any integer is a rational 54. Any rational number is be a rational number. number. an integer.
FALSE TRUE FALSE
55. The Tinyton Tigers play 16 games 56. On her fi rst three 5-point math quizzes, this season. So far, they have won 8 out Ami’s scores were 4, 3, and 5. She will take of 13 games. If they win their last 3 games, three more quizzes this semester. What three what fraction of the games will they have scores would give her an average that is a won? Express this fraction as a decimal. whole number? A repeating decimal? 11 Possible answers: The three scores 2, 5, and 8 3 11; 0.6875 16 5 would give her an average that is a whole They will have won 11 or 0.6875 of the games. number. The three scores 5, 5, and 3 would 16 give her an average that is a repeating decimal.
Complete. Write All, Some, or No.
57. All integers are rational numbers. 58. Some integers are whole numbers. 59. Some positive numbers are integers. 60. All fractions are rational numbers. 61. Some rational numbers are whole 62. No integers are not rational
numbers. numbers. Copyright © by William H. Sadlier, Inc. All rights reserved. 63. All terminating decimals are rational 64. All natural numbers are rational numbers. numbers.
2 Chapter 1
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