Survey of Mathematics

ANSWERS A-25 Chapter 7 SECTION 7.1, PAGE 416 1. Metric 3. a) Meter b) Kilogram c) Liter d) Celsius 5. a) Deka b) Deci 7. a) Kilo b) Milli 9. a) 0°C b) 100°C c) 37°C 11. b) 13. c) 15. f) 17. cg; 0.01 g 19. dg; 0.1 g 21. kg; 1000 g 23. a) 0.001 b) 100 c) 1000 d) 0.01 e) 10 f) 0.1 25. a) 10 000 b) 1000 c) 10 d) 0.1 e) 0.001 f) 0.0001 27. 9200 29. 0.000 057 31. 1.862 33. 0.014 6 35. 6 500 000 mm 37. 2.4 km 39. 693 hg 41. 4.0302 da 43. 620 cm, 4.4 dam, 0.52 km 45. 1.4 kg, 1600 g, 16 300 dg 47. 105 000 mm, 2.6 km, 52.6 hm 49. 580 cm 51. 0.5 m 53. 1 270 000 g 55. 56 300 m/h 57. a) 526 m b) 52 600 cm c) 5.26 hm 59. a) 3500 mg b) 3.5 g 61. a) 2000 m b) 2840 m c) 8-pack 63. a) 6300 mg b) 6.3 g 65. 1 hm in 10 min, > 1 hm 1 dam 67. The pump that removes > 1 da per minute, 1 da 1 d 69. 1000 71. × = 1 10 1 000 000 000 000 000 000 000 000 24 73. 9 dam 75. 6 mg 77. 2 da SECTION 7.2, PAGE 425 1. Length 3. Area 5. Length 7. Volume 9. Volume 11. Centimeters 13. Meters 15. Centimeters 17. Kilometers 19. (c) 21. (c) 23. (b) 25. Square meters 27. Hectares or square kilometers 29. Square centimeters or square millimeters 31. (a) 33. (b) 35. (a) 37. Milliliters 39. Kiloliters 41. Cubic meters 43. Cubic meters 45. (c) 47. (b) 49. (b) 51. (b) 53. 100 55. 0.000 1 57. 1 000 000 000 59. 0.000 001 61. 724 63. 0.435 65. 5 000 000 67. a) 3.2 km2 b) 320 ha 69. a) 1378 m2 b) 0.1378 ha 71. 804.25 m2 ≈ 73. a) 56 000 cm3 b) 56 000 m c) 56 75. a) 30 doses b) 10 days 77. a) 0.29 m3 b) 290 79. 100 times larger 81. 1000 times larger 83. 60 k 85. Answers will vary. 87. Answers will vary. 89. Answers will vary. 91. Answers will vary. 93. Answers will vary. 95. Answers will vary. 97. 100 000 000cm2 99. 1 000 000 000 k 101. a) 4,014,489,600 sq in. b) Answers will vary. SECTION 7.3, PAGE 433 1. Mass 3. Kilogram 5. Celsius 7. 0 9. Kilograms 11. Grams or Kilograms 13. Grams 15. Milligrams 17. Kilograms or metric tonnes 19. (c) 21. (a) 23. (b) 25. 0.0035 27. 0.001 46 29. (c) 31. (b) 33. (c) 35. (b) 37. 77°F 39. −31.7°C 41. −17.8°C 43. 40°C − 45. −12.2°C 47. 32°F 49. 98.6°F 51. 71.6°F 53. 67.46°F 55. 64.04°F to 74.3°F 57. 752 g 59. 36 blocks 61. 4.05 t 63. a) 1600 m3 b) 1600 k c) 1600 t 65. Answers will vary. 67. Answers will vary. 69. a) 5.625 ft3 b) 351.45 lb c) 42.14 gal 71. 1500 g 72. a) −79.8°F b) 36.5°F SECTION 7.4, PAGE 444 1. Dimensional 3. a) 1 lb 0.4536 kg b) 0.4536 kg 1 lb 5. a) 3.7854 1 gal b) 1 gal 3.7854 7. a) 1 in. 16.3871 cm 3 3 b) 16.3871 cm 1 in. 3 3 9. a) 0.4047 ha 1 ac b) 1 ac 0.4047 ha 11. 8.16 kg 13. 14.99 oz 15. 385.80 lb 17. 62.76 km 19. 1667.90 ac 21. 7172.42 g 23. 1.47mi2 25. 54.46 kg 27. 3.11 mi 29. $53.73 31. 34.8 in./day 33. 49.71mph 35. 125.42m2 37. 0.21 oz 39. 37 109.37 ha 41. a) 304 800m b) 304.8 km 43. a) 19,340.55 ft b) 3.66 mi 45. a) 100.55ml b) 3.4 oz 47. 81.65mg 49. 6894.72 mg 51. a) 3975 mi b) 6396.97 km c) 7.58 mi d) 14.91mi 53. a) 6.05mi b) 440.56 mph c) 112.47 mph d) 49 F − ° 55. 1,967,491.17 ft min 3 57. a) 4001.55 km2 b) 998.46 mi2 c) Rhode Island 59. a) 15.90 km3 b) 1.79 mi3 c) Seneca Lake 61. b) 63. a) 6200 cc b) 378.35 in.3 REVIEW EXERCISES, PAGE 449 1. 1 100 of basic unit 2. × 1000 basic unit 3. × 100 basic unit 4. 1 1000 of basic unit 5. × 10 basic unit 6. 1 10 of basic unit 7. 0.08 g 8. 5200 dm 9. 0.57 hm 10. 1 kg 11. 4620 12. 19 260 dg 13. 3000 m , 14 630 c , 2.67 k 14. 0.047 km, 47 000 cm, 4700 m 15. Degrees Celsius 16. Centimeters 17. Square meters 18. Milliliters or liters 19. Kilograms or tonnes 20. Kilometers 21. a) Answers will vary. b) Answers will vary. 22. a) Answers will vary. b) Answers will vary. 23. (b) 24. (a) 25. (c) 26. (a) 27. (a) 28. (b) 29. 1.8 t 30. 9 200 000 g 31. 75.2°F 32. 20°C 33. 21.1°C ≈ − 34. 102.2°F 35. 31 518 m2 36. 10.52 m2

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