Answers to Questions & Problems in Textbook - Chapter 5

1. 4

2. in your text

3.

a. .06235

b. 7229

c. .000005001

d. 86,210

4. in your text

5.

a. in your text

b. The decimal point must be moved three places to the left, so the exponent is positive 3; 7241 * 106

c. in your text

d. The decimal point does not have to be moved, so the exponent is zero; 5.408 * 100

e. 6.24 * 102 is already written in standard scientific notation.

f. in your text

g. The decimal point must be moved nine places to the right, so the exponent is negative nine; .000000007215 = 7.215 * 10-9

h. in your text

6.

a. in your text

b. The decimal point must be moved four places to the left; 7.221 * 10-4= .0007221

c. in your text

d. The decimal point must be moved eight places to the left; 9.11 * 10-8= .0000000911

e. in your text

f. The decimal point must be moved three places to the left; 1.22 * 10-3 = .00122

g. in your text

h. The decimal point must be moved five places to the left; 1.016 * 10-5 = .00001016

i. in your text

j. The decimal point must be moved one place to the left; 4.11 * 101 = .411

k. in your text

l. The decimal point must be moved four places to the left; 9.71 * 10-4 = .000971

7.

a. in your text

b. .0007741 * 10-9= (7.741 * 10-4)* 10-9= 7.741 *10-13

c. in your text

d. 6.272 * 10-5 is already written in standard scientific notation.

e. in your text

f. 97,522 * 10-3= (9.7752 * 104) * 10-3= 9.7552 * 101

g. in your text

h. 44,252 * 104= (4.4252 * 104) * 104= 4.4252 * 108

8.

a. in your text

b. 103/10-3= 1 * 106

c. in your text

d. 1/55,000= 1.8 * 10-5

e. in your text

f. 43.2/(4.32 * 10-5)= 4.32 * 101/4.32 * 10-5 =1 * 106

g. in your text

h. 1/(105)(10-6) = 1/(10-1)= 1 * 101

9.

a. in your text

b. 10-2

c. in your text

d. 10-1

e. in your text

f. 10-6

10.

a. in your text

b. milli-

c. in your text

d. mega-

e. in your text

f. micro-

11. in your text

12. in your text

13. 5.22 cm

14. in your text

15. c

16. in your text

17. c

18. in your text

19. Table 5.6 indicates that a dime is 1 mm thick, so, $10.

20. in your text

21. When we use a measuring scale to the limit of precision, we estimate between the smallest division on the scale; since this is our best estimate, the last significant digit recorded is uncertain.

22. The third figure in the length of the pin is uncertain because the measuring scale of the ruler hsa tenths as the smallest marked scale division. The length of the pin is given as 2.85 cm (rather than any other number) to indicate that the point of the pin appears to the observer to be half way between the smallest marked scale divisions.

23. in your text

24.

a. in your text

b. five

c. in your text

d. one

e. in your text

f. three (because the number is written in scientific notation)

g. in your text

h. five

25.

a. in your text

b. infinite (a definition)

c. in your text

d. probably only 1

e. three (the race is defined to be exactly 500 miles)

26.

a. in your text

b. 2.77 * 10/3

c. in your text

d. .00117

e. .0776

27.

a. in your text

b. 1.034 * 104

c. in your text

d. 3.37 * 105

28. two significant figures (based on .0043 having two significant figures)

29. in your text

30. only one (based on 121.2 being known only to the first decimal place)

31. in your text

32.

a. in your text

b. 1.327 (the answer can only be given to three decimal places, since .221 is only given to two decimal places)

c. in your text

d. before performing the calculation, the numbers have to be converted so that they contain the same power of ten, then converted into scientific notation. 32.15 * 102= 3.215 * 10= 3,215

33.

a. in your text

b. 1.995 * 10-23 (the answer can only be given to four significant figures because 6.022 * 1023 is only given to four significant figures)

c. in your text

d. 5.3 * 10-4 (the answer can only be given to three significant figures because .15 is only given to two significant figures)

34.

a. in your text

b. 3.8 * 103

c. in your text

d. 3.8418 * 10-7

35. an infinite number (a definition)

36. 1 mi/1760 yd ; 1760 yd/ 1 mi

37. $.79/1 lb

38. in your text

39.

a. in your text

b. 42.2 m

c. in your text

d. 2238 cm

e. in your text

f. 716.9 km

g. in your text

h. 5.01 * 104 cm

40.

a. in your text

b. 2.75 * 103 g

c. in your text

d. 97.0 oz

e. in your text

f. 794 g

g. in your text

h. 1.62 oz

41. DM 34.80, DM 57.47

42. in your text

43. Boston-New York train

44. 212oF; 100o

45. 100

46. Farenhiet(F)

47.

a. in your text

b. 473 K

c. in your text

d. 311 K

e. in your text

f. 77 K

48.

a. in your text

b. 172oC

c. in your text

d. -196oC

e. in your text

f. -271oC

49.

a. in your text

b. -40oC

c. in your text

d. -42oF

50.

a. in your text

b. 72 K

c. in your text

d. -101oC

51. volume

52. lead

53. low

54. in your text

55. aluminum (2.70g/cm3)

56.

a. in your text

b. 1.05 g/cm3

c. in your text

d. 1.30 g/cm3

57. in your text

58. 2.68 g/mL

59. in your text

60. in your text

61.

a. 23.1 cm3

b. 3.68 cm3

c. 56.8 cm3

d. 4.76 cm3

62. in your text

63.

a. in your text

b. meters

c. in your text

d. centimeters

e. millimeters

64. highway: 19 km/L, city: 16 km/L

65. in your text

66. 24 capsules

67. 3.8 g/cm3, ball will sink

68. in your text

69.

a. in your text

b. 6; negative

c. in your text

d. 5; positive

e. 2; negative

70. 4.25 g

71. in your text

72.

a. in your text

b. one

c. in your text

d. two

e. in your text

f. one

73. 38.2 g

74. in your text