ANSWERS A-11 Chapter 4 SECTION 4.1, PAGE 179 19. 20. 53. 54. 55. 56. 57. 58. 59. 60. 73. 1021, MXXI, , aka 74. , , 1936, λ 75. 527, , DXXVII, fkz 76. 422, , CDXXII, SECTION 4.2, PAGE 186 16. × + × + × + × (3 1000) (7 100) (6 10) (9 1) 17. × + × + × + (1 10,000) (6 1000) (4 100) × + × (0 10) (2 1) 18. (2 10,000) (3 1000) (4 100) × + × + × + (6 10) (8 1) × + × 19. (3 100,000) (4 10,000) (6 1000) × + × + × + (8 100) (6 10) (1 1) × + × + × 20. × + × + × + (3 1,000,000) (7 100,000) (6 10,000) × + × + × + × (5 1000) (9 100) (3 10) (4 1) 28. 30. 31. 32. 33. 34. 43. 44. 45. 46. 47. 48. 49. 50. 51. 1944, 52. 33, 54. a) There may be confusion because numerals could be interpreted in different ways. For example, could be interpreted to be either 1 or 60. b) for both numerals. 55. a) b) 56. 57. 58. 59. SECTION 4.3, PAGE 193 49. 5 50. 5 51. 5 52. 5 57. 4 58. 4 59. 4 60. 4 CHAPTER TEST, PAGE 170 4. Phobos is not a moon of Mars and Rosalind is a moon of Uranus, if and only if Callisto is not a moon of Jupiter. 5. If Phobos is a moon of Mars or Callisto is not a moon of Jupiter, then Rosalind is a moon of Uranus. 6. F T F F F F F F 7. T T T T F T T F 15. s f f p s p Valid → → ∴ → 19. Converse: If today is Saturday, then the garbage truck comes. Inverse: If the garbage truck does not come, then today is not Saturday. Contrapositive: If today is not Saturday, then the garbage truck does not come. 20. q p q p
RkJQdWJsaXNoZXIy NjM5ODQ=