Page 145 - Basic College Mathematics with Early Integers

122 C HAPTE R 2 I INTEGERS AND INTRODUCTION TO VARIABLES

11. Two divers are exploring the bottom of a trench 12. The temperature on one January day in Chicago was
in the Pacific Ocean. Joe is at 135 feet below the 10° below 0° Celsius. Represent this quantity by an
surface of the ocean and Sara is at 157 feet below integer and tell whether this temperature is cooler
the surface. Represent each quantity by an integer or warmer than 5° below 0° Celsius.
and determine who is deeper in the water.

13. In a week in 2009, the number of downloaded music 14. In a recent year, the number of CDs shipped to music
singles decreased by 13 percent over the previous retailers reflected an 18 percent decrease from the
week.Write an integer to represent the percent previous year.Write an integer to represent the
decrease in the number of downloaded music singles. percent decrease in CDs shipped. (Source: Recording
(Source: Nielsen Sound Scan) Industry Association of America)

Objective Graph each integer in the list on the same number line. See Example 2.

15. 1, 2, 4, 6 16. 3, 5, 2, 0

7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7
17. 1, -1, 2, -2, -4 18. 3, -3, 5, -5, 6
7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7
19. 0, 2, 5, 7 20. 0, 3, 6, 10

7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 14 12 10 8 6 4 2 0 2 4 6 8 10 12 14
21. 0, -2, -7, -5 22. 0, -7, 3, -6

7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7

Objective Insert 6 or 7 between each pair of integers to make a true statement. See Example 3.

23. 0 -7 24. -8 0 25. -7 -5 26. -12 -10
27. -30 -35 28. -27 -29 29. -26 26 30. 13 -13

Objective Simplify. See Example 4.

31. ƒ 5 ƒ 32. ƒ 7 ƒ 33. ƒ -8 ƒ 34. ƒ -19 ƒ

35. ƒ 0 ƒ 36. ƒ 100 ƒ 37. ƒ -5 ƒ 38. ƒ -10 ƒ

Objective Find the opposite of each integer. See Example 5.

39. 5 40. 8 41. -4 42. -6
43. 23 44. 123 45. -10 46. -23

Objectives Mixed Practice Simplify. See Example 6.

47. ƒ -7 ƒ 48. ƒ -11 ƒ 49. - ƒ 20 ƒ 50. - ƒ 43 ƒ
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51. - ƒ -3 ƒ 52. - ƒ -18 ƒ 53. -(-8) 54. -(-7)
55. ƒ -14 ƒ 56. -(-14) 57. -(-29) 58. - ƒ -29 ƒ

Evaluate. See Example 7.

59. ƒ -x ƒ if x =-8 60. - ƒ x ƒ if x =-8 61. - ƒ -x ƒ if x = 3 62. - ƒ -x ƒ if x = 7

63. ƒ x ƒ if x =-23 64. ƒ x ƒ if x = 23 65. - ƒ x ƒ if x = 4 66. ƒ -x ƒ if x = 1