A-12 ANSWERS Chapter 4 SECTION 4.1, PAGE 179 1. How many 3. Hindu–Arabic 5. Subtract 7. Multiplicative 9. 225 11. 12,341 13. 334,214 15. 17. 19. 21. 27 23. 294 25. 2642 27. 2946 29. 4499 31. 12,666 33. XXVII 35. CCXCII 37. MCMXIV 39. IVDCCXCIII 41. IXCMXCIX 43. XLVICCLXXXI 45. 74 47. 4081 49. 8550 51. 4003 53. 55. 57. 59. 61. 22 63. 878 65. 2883 67. φμγ 69. ψπδ 71. ∈∈ ι 73. 1021, MXXI, , aka 75. 527, , DXXVII, fkz 77. A number is a quantity, and it answers the question “How many?” A numeral is a symbol used to represent the number. 79. CMXCIXCMXCIX 81. Turn the book upside down. 82. MM 83. 1888, MDCCCLXXXVIII SECTION 4.2, PAGE 186 1. 10 3. Hundreds 5. Units 7. a) 1 b) 10 c) Subtraction 9. a) 0 b) 1 c) 5 11. (4 10) (3 1) × + × 13. (9 100) (7 10) (5 1) × + × + × 15. (4 1000) (3 100) (8 10) (7 1) × + × + × + × 17. (1 10,000) (6 1000) (4 100) × + × + × + (0 10) (2 1) × + × 19. 14 21. 677 23. 4868 25. 3602 27. 29. 31. 33. 35. 57 37. 2707 39. 4000 41. 7211 43. 45. 47. 49. 51. 1944, 53. The Mayan system has a different base and the numerals are written vertically. 55. a) b) 57. 59. SECTION 4.3, PAGE 193 1. Base 3. 5 5. 10 7. 152 9. 161 11. 441 13. 1395 15. 53 17. 4012 19. 1549 21. 50,809 23. 1112 25. 1012 27. 20334 29. 4025 31. 21128 33. 526412 35. 24EF16 37. 22100003 39. 311005 41. 56227 43. 120912 45. 13 47. 78 49. 5 51. 5 53. 7 55. 36 57. 4 59. 4 61. a) 102135 b) 13738 63. a) 2 b) 8 c) 16 d) 32 e) b 65. b 6 = 67. a) 1,2,10 ,11,12,20 ,21,22,100 ,101,102, 3 3 3 3 3 3 3 3 3 3 3 110 , 111 , 112 , 120 , 121 , 122 , 200 , 201 , 202 3 3 3 3 3 3 3 3 3 b) 10003 69. a) Answers will vary. b) Answers will vary. 70. $5125 71. a) 876 b) 4 SECTION 4.4, PAGE 201 1. 125 3. 5 5. 225 7. 1123 9. 2215 11. 14507 13. 110012 15. B70312 17. B9C216 19. 113 21. 549 23. 1102 25. 36167 27. 13415 29. 81BB12 31. 1013 33. 41038 35. 10178 37. 7767612 39. 100102 41. 60317 43. 1234 45. 146 R2 7 7 47. 52 R2 8 8 49. 103 R1 4 4 51. 41 R1 5 5 53. 45 R2 7 7 55. 5 57. 5 59. 4 61. 4 63. 4 65. 4 67. 3EAC16 69. a) 212528 b) 306 and 29 c) 8874 d) 8874 e) Yes 71. 5 0, 5 1, 5 2, 5 3 SECTION 4.5, PAGE 206 1. a) Divided b) Doubled 3. Three; Two 5. 221 7. 851 9. 8260 11. 8649 13. 496 15. 2550 17. 900 19. 204,728 21. 144 23. 405 25. 625 27. 128,098 29. a) 253 46 × b) 11,638 31. a) 4 382 × b) 1528 33. 35. 12113
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