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 ϭ ϭ 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 ϭ ϭ 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. 20.4Њ 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. Ϫ Ϫ 1 3 1 Ϫ 10. 32 11. 7 12. 82 13. 45 14. 563 15. 6 ؊ 7 ؊17 23 169 ؊ 6 32 1 1 2 5 3 1 16. 7 9 17. Ϫ362 18. Ϫ175 19. 302 20. Ϫ51 21. 312 10 7 9 4 ؊254 ؊ 175 272 ؊21 312 79 10 7 1 9 4 1 Write each fraction or mixed number in decimal form. 1 Ϫ3 Ϫ11 7 8 Ϫ15 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 Ϫ 9 7 Ϫ2 5 Ϫ 17 28. 1950 29. 16 30. 8 31. 9 32. 8 33. 118 ؊0.5625 0.875 ؊0.2 0.625 ؊1.94 19.86 Copyright © by William H. Sadlier, Inc. All rights reserved. 3 Ϫ 1 Ϫ 3 Ϫ 5 Ϫ 9 Ϫ 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 8228-2_001-002_1 1 6/3/08 4:48:50 PM For More Practice Go To: Tell which of the following terms describes each number: natural number, whole number, integer, rational number. (List all that apply.) 40. Ϫ13 41. 8 42. 7.52 natural number, whole number, integer, rational number integer, rational number rational number 43. 0 44. Ϫ21 45. 3 whole number, integer, 7integer, rational 4 rational number number rational number Tell whether each statement is TRUE or FALSE. 46. Ϫ5.86 is a rational number 47. 2 is an integer but not a 48. Ϫ14 is an integer and a but not an integer. rational number. rational number. TRUE FALSE TRUE 49. 21 is an integer and a 50. Ϫ35 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 0.6875 ؍ ;11 ؍ ؉ 3 8 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 8228-2_001-002_2 2 6/6/08 2:03:09 PM.