Solutions to Odd-Numbered Exercises

1. about a yard

3. (a) kilograms; (b) meters; (c) kilometers/second; (d) kilograms/cubic meter; (e) kelvin; (f) square meters; (g) cubic meters

5. (a) centi-, × 10⁻²; (b) deci-, × 10⁻¹; (c) Giga-, × 10⁹; (d) kilo-, × 10³; (e) milli-, × 10⁻³; (f) nano-, × 10⁻⁹; (g) pico-, × 10⁻¹²; (h) tera-, × 10¹²

7. (a) 8.00 kg, 5.00 L, 1.60 kg/L; (b) 2.00 kg, 5.00 L, 0.400 kg/L; (c) red < green < blue < yellow; (d) If the volumes are the same, then the density is directly proportional to the mass.

9. (a) (b) Answer is one of the following. A/yellow: mass = 65.14 kg, volume = 3.38 L, density = 19.3 kg/L, likely identity = gold. B/blue: mass = 0.64 kg, volume = 1.00 L, density = 0.64 kg/L, likely identity = apple. C/green: mass = 4.08 kg, volume = 5.83 L, density = 0.700 kg/L, likely identity = gasoline. D/red: mass = 3.10 kg, volume = 3.38 L, density = 0.920 kg/L, likely identity = ice; and E/purple: mass = 3.53 kg, volume = 1.00 L, density = 3.53 kg/L, likely identity = diamond. (c) B/blue/apple (0.64 kg/L) < C/green/gasoline (0.700 kg/L) < C/green/ice (0.920 kg/L) < D/red/diamond (3.53 kg/L) < A/yellow/gold (19.3 kg/L)

11. (a) 7.04 × 10²; (b) 3.344 × 10⁻²; (c) 5.479 × 10²; (d) 2.2086 × 10⁴; (e) 1.00000 × 10³; (f) 6.51 × 10⁻⁸; (g) 7.157 × 10⁻³

13. (a) 2.15 × 105; (b) 4.2 × 106; (c) 2.08; (d) 0.19; (e) 27,440; (f) 43.0

15. (a) exact; (b) exact; (c) uncertain; (d) exact; (e) uncertain; (f) uncertain

17. (a) 0.44; (b) 9.0; (c) 27; (d) 140; (e) 1.5 × 10⁻³; (f) 0.44

19. [latex]\begin{array}{c}\frac{\text{2.0 L}}{\text{67.6 fl oz}}=\frac{\text{0.030 L}}{\text{1 fl oz}}\end{array}[/latex]

21. 355 mL

23. 5.0 × 10⁻³ mL

25. 45.4 L

27. (a) 5.1 mL; (b) 37 L

29. yes; weight = 89.4 kg

31. 1.0160 × 10³ kg

33. (a) 81.6 g; (b) 17.6 g

35. 8 × 10⁻⁴ cm

37. 0.46 m; 1.5 ft/cubit

39. (a) [latex]\frac{\text{1.0936 yd}}{\text{1 m}}[/latex] ; (b) [latex]\frac{\text{0.94635 L}}{\text{1 qt}}[/latex] ; (c) [latex]\frac{\text{2.2046 lb}}{\text{1 kg}}[/latex]

41. 68–71 cm; 400–450 g

43. (a) 1.3 × 10⁻⁴ kg; (b) 2.32 × 10⁸ kg; (c) 5.23 × 10⁻¹² m; (d) 8.63 × 10⁻⁵ kg; (e) 3.76 × 10⁻¹ m; (f) 5.4 × 10⁻⁵ m; (g) 1 × 10¹² s; (h) 2.7 × 10⁻¹¹ s; (i) 1.5 × 10⁻⁴ K

45. (a) 394 ft (b) 5.9634 km (c) 6.0 × 10² (d) 2.64 L (e) 5.1 × 10¹⁸ kg (f) 14.5 kg (g) 324 mg

47. Yes, the acid’s volume is 123 mL.

49. 62.6 in (about 5 ft 3 in.) and 101 lb

51. (a) 3.81 cm × 8.89 cm × 2.44 m; (b) 40.6 cm

53. 2.70 g/cm³

55. −23 °C, 250 K

57. −33.4 °C, 239.8 K

59. 113 °F