CHAPTER 5 Summary 291 12. − − 5 4 −9 13. − − − 3 ( 6) 3 In Exercises 14–17, evaluate the expression. 14. ⋅ − 7 ( 3) −21 15. − − ( 2)( 12) 24 16. − − 35 7 5 17. − 12 6 −2 In Exercises 18–21, evaluate the expression using the order of operations. 18. 4 8 2 + ⋅ 20 19. ⋅ − ⋅ 3 2 3 4 3 2 −12 20. ÷ ⋅ − − ⋅ (64 4 2) (25 7 4) 35 21. ( ) − ⋅ − ÷ 2 5 3 4 8 2 3 2 −2738 5.3 In Exercises 22–25, express the fraction as a terminating or repeating decimal number. 22. 3 10 0.3 23. 15 4 3.75 24. 6 7 0.857142 25. 7 12 0.583 In Exercises 26–29, express the decimal number as a quotient of two integers. 26. 5.4 = 54 10 27 5 27. 0.6 2 3 28. 0.51 17 33 29. 0.083 83 1000 In Exercises 30 and 31, express each mixed number as an improper fraction. 30. 5 4 9 49 9 31. 3 1 4 − 13 4 − In Exercises 32 and 33, express each improper fraction as a mixed number. 32. 19 3 6 1 3 33. − 136 5 −27 1 5 In Exercises 34–37, perform the indicated operation and reduce your answer to lowest terms. 34. − 7 15 3 5 − 2 15 35. + 1 6 5 4 17 12 36. ⋅ 7 16 12 21 1 4 37. ÷ 5 9 6 7 35 54 In Exercises 38– 41, evaluate the expression using the order of operations. 38. + ⋅ 1 3 2 5 5 11 17 33 39. − ÷ 3 4 1 8 5 12 9 20 40. ÷ ⋅ 13 16 7 8 14 15 13 15 41. ⎛ + ⎝⎜ ⎞ ⎠⎟ ÷ ⎛ − ⎝⎜ ⎞ ⎠⎟ 1 4 5 6 3 1 6 13 34 42. Spicey Turkey A recipe for roasted spicey turkey calls for 1 8 teaspoon of cayenne pepper per pound of turkey. If Jennifer is preparing a turkey that weighs 17 3 4 pounds, how much cayenne pepper does she need? 2 7 32 tsp 5.4 In Exercises 43–54, simplify the expression. Rationalize the denominator when necessary. 43. 45 3 5 44. − 2 4 2 −3 2 45. + 8 6 2 8 2 46. − 3 7 27 −20 3 47. + 28 63 5 7 48. ⋅ 3 6 3 2 49. ⋅ 8 6 4 3 50. 300 3 10 51. 4 3 4 3 3 52. 7 5 35 5 53. + 3(2 7) + 6 3 7 54. + 3(4 6) + 4 3 3 2 5.5 In Exercises 55–59, state the name of the property illustrated. 55. + = + 7 9 9 7 Commutative property of addition 56. ⋅ = ⋅ m m 5 5 Commutative property of multiplication 57. + + = + + (12)3 1(23) Associative property of addition 58. + = ⋅ + ⋅ x x 9( 1) 9 9 1 Distributive property 59. ⋅ ⋅ = ⋅ ⋅ a b a b (3 ) 3 ( ) Associative property of multiplication In Exercises 60–64, determine whether the set of numbers is closed under the given operation. 60. Natural numbers, subtraction No 61. Whole numbers, multiplication Yes 62. Integers, division No 63. Real numbers, subtraction Yes 64. Irrational numbers, multiplication No
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