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