Section 1.1 Introduction to Algebra and the Set of Real Numbers 57 35. List three numbers that are real numbers but not rational numbers. 37. List three numbers that are integers but not natural numbers. For example: 4, 1, 0 39. List three numbers that are rational numbers but not integers. For Exercises 40–45, let (See Example 5.) 40. Are all of the numbers in set A real numbers? 41. List all of the rational numbers in set A. Yes 42. List all of the whole numbers in set A. 43. List all of the natural numbers in set A. 44. List all of the irrational numbers in set A. 45. List all of the integers in set A. 46. Plot the real numbers from set A on a number line. (Hint: 111 3.3 and 17 2.6) 4, 0, 1 1 A 5 , 111, 4, 0.6, 0, 17, 16 32 For example: 1 2 For example: p, 12, 13 , 5, 0.3 For example: 5, 2, 1 For example: 3 4 , 1 2 , 0.206 111, 17 3 2 , 4, 0.6, 0, 1 0, 1 LPGA Golfers Respect to Par Annika Sorenstam 7 Laura Davies Lorie Kane 0 Cindy McCurdy 3 Se Ri Pak 8 1 9 6 or 7. 7 3 6 1 3 5 8 4 0 2 1 0 1 2 3 4 5 6 6 5 4 3 32 0.6– 1 √7 √11 36. List three numbers that are real numbers but not irrational numbers. 38. List three numbers that are integers but not whole numbers. Concept 3: Inequalities 47. The LPGA Samsung World Championship of women’s golf scores for selected players are given in the table. Compare the scores and fill in the blank with the appropriate inequality sign: (See Example 6.) a. Kane’s score _______ 7 Pak’s score. b. Sorenstam’s score _______ Davies’s score. c. Pak’s score _______ McCurdy’s score. d. Kane’s score _______ Davies’s score. 48. The elevations of selected cities in the United States are shown in the figure. Compare the elevations and fill in the blank with the appropriate inequality sign: 6 or 7. (A negative number indicates that the city is below sea level.) a. Elevation of Tucson _______ elevation of Cincinnati. b. Elevation of New Orleans _______ elevation of Chicago. c. Elevation of New Orleans _______ elevation of Houston. d. Elevation of Chicago _______ elevation of Cincinnati. Concept 4: Opposite of a Real Number For Exercises 49–56, find the opposite of each number. (See Example 7.) 49. 18 50. 2 51. 52. 53. 54. 55. 56. 1 9 7 3 1 3 5 8 Final Score with 18 2 6.1 6.1 2.5 2.5 4 Chicago 579 ft Cincinnati 433 ft New Orleans Houston 0 ft 8 ft Tucson 2250 ft 7 6 7 6 7 7 Writing Translating Expression Geometry Scientific Calculator Video
miller_introductory_algebra_3e_ch1_3
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