CHAPTER EIGHT THE METRIC SYSTEM

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1 CHAPTER EIGHT THE METRIC SYSTEM Exercise Set The metric system. 2. The U.S. customary system. 3. It is the worldwide accepted standard of measurement. There is only 1 basic unit of measurement for each quantity. It is based on the number 10 which makes many calculations easier. 4. a) meter b) kilogram c) liter d) celsius. a) Move the decimal point one place for each change in unit of measure b) cm = km = x 10 - km = km 10 c) 30.8 hm = (30.8)(1000) dm = dm 6. a) mega b) micro 7. kilo 1000 times the base unit k hecto 100 times the base unit h deka 10 times the base unit da dec 1/10 times the base unit d centi 1/100 times the base unit c milli 1/1000 times the base unit m 8. a) 10,000 times greater b) 1 h = 10,000 cm c) 1 cm = hm. a) 100 times greater b) 1 dam = 100 dm c) 1dm = 0.01 dam 10. a) 0 o C b) 100 o C c) 37 o C pounds yard 13. grams o C o C m. 17. kilo d 18. milli b 1. hector c 20. deka e 21. deci f 22. centi a 23. a) 10 liters b) 1/100 liter c) 1/1000 liter d) 1/10 liter e) 1000 liters f) 100 liters 24. a) 100 grams b) gram c) 1000 grams d) 0.01 gram e) 10 grams f) 0.1 gram 2. mg 1/1000 gm 26. cg 1/100 gm 27. dg 1/10 gm 28. dag 10 gm 2. hg 100 gm 30. kg 1000 gm 31. Max. load 320 kg = (320 x 1,000) g = g 32. Max. load 320 kg = (320 x 1,000,000) mg = 320,000,000 mg m = (2 x 100) cm = 200 cm hg = (3.7 x 100) g = 3,70 g 27

2 280 CHAPTER 8 The Metric System hl = (0.0)(100) =. l dam = (7 x 10) m = 70 m cm = (242.6)(0.0001) hm = hm ml = (1.34)(0.001) l = l mg = (4036)( ) hg = hg kl = (14.27)(1000) l = l hm = (1.34)(10000) cm = 13,400 cm kg = 62 mg kg = 2,00 g m = 7300 mm 4. 8 l = 8,000 ml dm = km cm = hm 48. 6,04 mm = 6.04 m 4. 40,302 ml = dal ml = l 1. 0 cm,.1 dam, 0.47 km m, 14 hm, 62 km kg, 2,400 g, 24,300 dg cl, 4.3 l, 0.04 kl. 203,000 mm, 2.6 km, 2.6 hm kl, 460 dl, 48,000 cl 7. Jim, since a meter is longer than a yard hectometer in 10 min. 1 hm > 1 dm. The pump that removes 1 dal of water per min. 1 dekaliter > 1 deciliter 61. a) Perimeter= 2l + 2w= 2(74) + 2()= 346 cm b) 346 cm = (346 x 10) mm = 3,460 mm 63. a) (4)(27 m) = 108 m b) 108 m = km c) 108 m = mm 6. 8 (400) m = 3,200 m; 3,200 m = 3.2 km 67. a) 6(360) ml = 2,160 ml b) 2160(1000) = 2.16 l c) 2.4 / 2.16 = $1.13 per liter 6. a) (6.)(1000) = 6,00 gm b) 6,00 / 3 = 2300 gm 2300 gm = 23,000 dg 60. The side with the 1 lb. weight would go down. kg = (2.2 lbs.) = 11 lbs. 62. a) (2)(20)(7) = 3,00 mg / week b) 3,00 mg / week = 3. g / week 64. a) 1,200 km / 187 l = km/l b) 1,200,00 / 187 l = 6,417 m/l 1000 ml 1 min l = (360 l) 1 l 360 ml = min. or 1 hr min. 68. ($ 1.03)(37.7 l) = $ km = 700 hm = 717. km gigameter = 1000 megameters nanogram =.001 microgram teraliter = 1 x picoliters megagram = 1 x 10 1 nanogms /.027 = eggs /.288 = cups mg = 0.1 g mg = g cm = dam 0.8/0.1 = 4.1 cups 0.8/0.016 = 00 00(4) = 24,00 g mm = 2 m hg = 6 mg dm = 3 hm kl = 2 dal cm = m 8. magr gram 86. migradec decigram 87. rteli liter 88. raktileed dekaliter 8. terem meter 0. leritililm milliliter 1. reketolim kilometer 2. timenceret centimeter 3. greeed sulesic degree celsius 4. togmeharc hectogram

3 SECTION Exercise Set volume 2. length 3. area 4. length. volume 6. volume 7. volume 8. volume. area 10. volume 11. length 12. area 13. Answers will vary. 14. Answers will vary. 1. Answers will vary. 16. Answers will vary. (AWV) 17. Answers will vary. 18. Answers will vary cubic decimeter l = 1 kiloliter cubic centimeter 22. square kilometers 23. area acres 2. centimeters 26. kilometers 27. cm or mm 28. centimeters 2. centimeters 30. millimeters 31. millimeters 32. meters 33. cm or mm 34. cm or mm 3. kilometers 36. cm or m 37. c 27 m 38. a 2 cm x 3 cm 3. c km 40. a 160 cm 41. a 2 cm 42. b 8 cm 43. a 3 dam 44. c 37 m 4. mm AWV 46. cm AWV 47. cm or m AWV 48. mm or cm AWV 4. mm or cm AWV 0. mm AWV 1. cm, km 2. km 3. m 4. m. cm 6. km 7. sq. mm. or sq. cm. 8. hectares or sq. km.. sq. m. 60. sq. mm. or sq. cm. 61. sq. m. or hectares 62. sq. m. or hectares 63. sq. mm. or sq. cm. 64. sq. cm. or sq. m. 6. hectares or sq. km. 66. sq. m. 67. b 2.2 sq.m. 68. a sq. cm. 6. a 800 sq. m. 70. b 1/8 ha 71. c 360 sq. cm. 72. a 2. sq. cm. 73. c 1200 sq. mm. 74. c 400 sq. km. 7. AWV 76. AWV 77. AWV 78. AWV 7. AWV 80. AWV 81. kiloliters 82. liters 83. milliliters 84. cubic centimeters 8. liters 86. cubic meters 87. cubic meters 88. cubic meters 8. liters 0. cubic meters 1. c 7780 cu. cm. 2. a 0. cu. m. 3. c kl 4. b 3 ml. a 0 cu. m. 6. b 120 ml 7. a 24 cu. m. 8. b 14,000 cu. cm.. a) 144,000 cc. b) 12,61 cc 100. a) AWV b) (2)(1.)(.2) =.7 m a) AWV b) v (3.14)(0.2) 2 (1) = 0.20 m a) AWV b) v =π r 2 h (3.14)(0.20) 2 (2) = 0.2m a) AWV b) A = lw = (4)(2.2) = 8.8 cm A = π r 2 = (3.14)(1.2) 2 = cm (82)(62) - (0)(42) = = 284 cm a) (73)(3) = 386 m a) (3.7)(1.4) =.2 km b) 386 (70)(0) = = 86 m 2 b) (.2)(100 ha) = 2 ha 108. a) (22.)(18.3) = m a) (18)(10)(2.) = 40 m 3 b) (411.7)( ha) = ha b) 40 m 3 = 40 kl 110. Total Surface Area of 4 walls = 2lh + 2wh = 2(20)(6) + 2(12)(6) = 384 m 2 Liters for first coat = (384 m 2 1 l ) 2 10 m = 38.4 l Liters for second coat = (384 m2 1 l ) 2 1 m = 2.6 l Total liters = = 64 l Total cost = (64)($4.7) = $304

4 282 CHAPTER 8 The Metric System 111. a) V = lwh = (70)(40)(20) = 6,000 cm 3 b) 6,000 cm 3 = 6,000 ml c) c) ml = l = 6 l 112. V = π r 2 h (3.14)(4.0) 2 (12.) = 100 times larger = 10,000 times larger 628 cm = 1000 times larger = 1000 times larger ,000,000 mm ,000,000,000 cm hm m ,000,000,1 hm ,000 mm ,000,000 cm hm 3 = km cm 3 = 43 ml cm 3 = 0.43 l kl = 76 m l = 4,200 cm (6.0 x 10 4 )(10) = 600,000 dl 130. (600,000)(100) = 60,000,000 ml = 60,000,000 cc 131. AWV 132. AWV kl = 6.7 m 3 = (6.7 x 10 3 ) dm 3 = 6,700 dm ha = 14,000 m 2 = (14000 x ) cm 2 = 140,000,000 cm a) 1 sq mi = (1 mi 2 )(280) 2 2 ft mi 2 = 27,878,400 ft 2 27,878,400 ft 2 x (12) 2 2 in = 4,014,48,600 in 2 2 ft b) It is easier to convert in the metric system because it is a base 10 system a) (1 yd 3 ) = (36 in) 3 = 46,66 in 3 (46,66 in 3 )(6) = 27,36 in 3 b) It is easier to convert in the metric system because it is a base 10 system Answers will vary a) 1. m = 10 cm 10 0 = 100 cm. b) 10/0 = 3 3 times larger c) No. 13. a) 10.7 liters / day b) 43.2 liters / day Exercise Set kilogram 2. gm 3. 2 lb 4. metric tonne. approx. 3 o C AWV 6. approx. 1 o C AWV 7. Answers will vary AWV 8. 8.a) Yes; mass is a measure of the amount of matter in an object. b) No; weight is a measure of gravitational force.. kilograms or grams 10. kilograms 11. grams 12. kilograms or grams 13. grams 14. metric tonnes 1. metric tonnes 16. milligrams 17. grams 18. grams 1. b 2.26 kg 20. a.1 mg 21. b 1.4 kg 22. c 0.4 kg 23. b 2800 kg 24. c 1.6 t 2. AWV 26. AWV 27. AWV 28. AWV 2. c 0 o C 30. c 0 o C 31. b 27 o C 32. b Dress warmly and walk.

5 SECTION b o C 34. c bathing suit 3. c 177 o C 36. c 1260 o C 37. b -7 o C 38. c 40 o C 3. F = (30) + 32 = = 86 o F 40. F = ( ) + 32 = + 32 = 23o F 41. C = (2 32) 43. C = (180 32) = (60) = (148) = 33.3 o C 42. C = ( 10 32) = ( 42) = 23.3o C = 82.2 o C 44. C = (8 32) = (66) = 36.7 o C 4. F = (37) + 32 = = 8.6 o F 46. F = ( 4) + 32 = = 24.8o F 47. C = (13 32) = ( 1) = 10.6o C 48. C = (7 32) = (43) = 23. o C 4. F = (4) + 32 = = 113 o F 0. F = (60) + 32 = = 140 o F 1. C = ( 20 32) = ( 2) = -28.o C 2. C = (42 32) = (33) 3. F = (22). F = (3.1) = o C + 32 = = 71.6 o F 4. F = (1.6) + 32 = = 60.1 o F + 32 = =.2 o F 6. F = (32.3) + 32 = = 0.1 o F 7. low: F = (17.8) + 32 = = o F high: F = (23.) + 32 = = 74.3 o F Range = = o F 8. low: F = (22) + 32 = = 71.6 o F high: F = (34) + 32 = = 3.2 o F Range = = 21.6 o F. cost = (6.2)(.70) = $ cost = (1.3)(.80) = $ total mass = 4 g + 2 g ml = 4 g + 2 g g = 444 g 63. a) V= lwh, l = 16 m, w = 12 m, h = 12 m V = (16)(12)(12) = 2304 m 3 b) 2304 m 3 = 2304 kl c) 2304 kl = 2304 t 62. fuel used = (4320)(17) = 73,440 kg 1 t 73,440 kg 1000 kg = t 64. a) V = π r 2 h r = 0 cm = 0.0 m h = 10 cm = 1. m V = (3.14)(0.0) 2 (1.0) = m 3 b) m 3 = kl = l c) l = kg 1 t 1000 kg kg = (4.2 kg) = t t = (.2 t) = 20 kg 1000 kg 1 t 1000 kg 1 t t = (17.4 t) = 17,400 kg = 68. 1,460,000 mg = 1.46 kg = (1.46 kg) 1 t = 1000 kg 17,400,000 g t

6 284 CHAPTER 8 The Metric System 6. Yes, 78 o F = (78 32) 2.6o C, not 20 o C 70. Normal body temperature is 8.6 o F or 37 o C. Maria's temperature is 38.2 o C which is above normal. She should take an aspirin l = 1200 ml a) 1200 gm b) 1200 cm o C = ( 40) + 32 = o F 73. a) V = lwh l = 1 yd = 3 ft w = 1 in = 1.2 ft h = 1. ft V = (3)(1.2)(1.) =.62 cubic feet b) (.62 ft 3 lbs ) 62. ft 3 = 31.6 lb 1 gal c) (31.6 lb) = 42.4 gal 8.3 lb kg x (3)(2) = 6 = 4x x = 6/4 = 3/2 = kg = 100 g 1. kg 7. a) o C F = ( 62.11) + 32 = = -7.78o F b) 2. o C F = (2.) + 32 = = 36. o F c) 18,000,000 o F C = (18, 000, ) = (17,, 68) = 0,, ,000,000 o C

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