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Contents
CHAPTER 1 1
CHAPTER 2 9
CHAPTER 3 13
CHAPTER 4 22
CHAPTER 5 29
CHAPTER 6 39
CHAPTER 7 52
CHAPTER 8 65
CHAPTER 9 86
CHAPTER 10 106
CHAPTER 11 124
CHAPTER 12 143
CHAPTER 13 150
CHAPTER 14 157
CHAPTER 15 170
CHAPTER 16 195
CHAPTER 17 202
CHAPTER 18 222
CHAPTER 19 253
CHAPTER 20 266
CHAPTER 21 280
CHAPTER 22 311
CHAPTER 23 318
CHAPTER 24 333
CHAPTER 25 342
TEST ITEM FILE 353
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Chapter 1
1. −
2. −
3. −
d 20,000 ft ⎡ 1 mi ⎤ ⎡ 60 s ⎤ ⎡ 60 min ⎤
4. υ= = = 1363.64 mph
t 10 s ⎢⎣ 5,280 ft ⎥⎦ ⎢⎣1 min ⎥⎦ ⎢⎣ 1 h ⎥⎦
⎡ 1h ⎤
5. 4 min ⎢ ⎥ = 0.067 h
⎣ 60 min ⎦
d 31 mi
υ= = = 29.05 mph
t 1.067 h
95 mi ⎡ 5,280 ft ⎤ ⎡ 1 h ⎤ ⎡1 min ⎤
6. a. = 139.33 ft/s
h ⎢⎣ mi ⎥⎦ ⎢⎣ 60 min ⎥⎦ ⎢⎣ 60 s ⎥⎦
d 60 ft
b. t= = = 0.431 s
υ 139.33 ft/s
d 60 ft ⎡ 60 s ⎤ ⎡ 60 min ⎤ ⎡ 1 mi ⎤
c. υ= = = 40.91 mph
t 1 s ⎢⎣1 min ⎥⎦ ⎢⎣ 1 h ⎥⎦ ⎢⎣ 5,280 ft ⎥⎦
7. −
8. −
9. −
5 5 5
10. MKS, CGS, °C = (°F − 32) = (68 − 32) = (36) = 20°
9 9 9
SI: K = 273.15 + °C = 273.15 + 20 = 293.15
⎡ 0.7378 ft - lb ⎤
11. 1000 J ⎢ ⎥ = 737.8 ft-lbs
⎣ 1J ⎦
⎡ 3 ft ⎤ ⎡12 in. ⎤ ⎡ 2.54 cm ⎤
12. 0.5 yd ⎢ ⎥⎢ ⎥⎢ ⎥ = 45.72 cm
⎣1 yd ⎦ ⎣ 1 ft ⎦ ⎣ 1 in. ⎦
13. a. 104 b. 106 c. 103 d. 10−3 e. 100 f. 10−1
14. a. 15 × 103 b. 30 × 10−3 c. 2.4 × 106 d. 150 × 103
e. 4.02 × 10−4 f. 2 × 10−10
Chapter 1 1
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15. a. 4.2 × 103 + 48.0 × 103 = 52.2 × 103 = 5.22 × 104
b. 90 × 103 + 360 × 103 = 450 × 103 = 4.50 × 105
c. 50 × 10−5 − 6 × 10−5 = 44 × 10−5 = 4.4 × 10−4
d. 1.2 × 103 + 0.05 × 103 − 0.6 × 103 = 0.65 × 103 = 6.5 × 102
16. a. (102)(103) = 105 = 100 × 103
b. (10−2)(103) = 101 = 10
c. (103)(106) = 1 × 109
d. (102)(10−5) = 1 × 10−3
e. (10−6)(10 × 106) = 10
f. (104)(10−8)(1028) = 1 × 1024
17. a. (50 × 103)(3 × 10−4) = 150 × 10−1 = 1.5 × 101
b. (2.2 × 103)(2 × 10−3) = 4.4 × 100 = 4.4
c. (82 × 106)(2.8 × 10−6) = 229.6 = 2.296 × 102
d. (30 × 10−4)(4 × 10−3)(7 × 108) = 840 × 101 = 8.40 × 103
18. a. 102/104 = 10−2 = 10 × 10−3
b. 10−2/103 = 10−5 = 10 × 10−6
c. 104/10−3 = 107 = 10 × 106
d. 10−7/102 = 1.0 × 10−9
e. 1038/10−4 = 1.0 × 1042
f. −2 = 101/10−2 = 1 × 103
19. a. (2 × 103)/(8 × 10−5) = 0.25 × 108 = 2.50 × 107
b. (4 × 10−3)/(60 × 104) = 4/60 × 10−7 = 0.667 × 10−7 = 6.67 × 10−8
c. (22 × 10−5)/(5 × 10−5) = 22/5 × 100 = 4.4
d. (78 × 1018)/(4 × 10−6) = 1.95 × 1025
20. a. (102)3 = 1.0 × 106 b. (10−4)1/2 = 10.0 × 10−3
c. (104)8 = 100.0 × 1030 d. (10−7)9 = 1.0 × 10−63
21. a. (4 × 102)2 = 16 × 104 = 1.6 × 105
b. (6 × 10−3)3 = 216 × 10−9 = 2.16 × 10−7
c. (4 × 10−3)(6 × 102)2 = (4 × 10−3)(36 × 104) = 144 × 101 = 1.44 × 103
d. ((2 × 10−3)(0.8 × 104)(0.003 × 105))3 = (4.8 × 103)3 = (4.8)3 × (103)3
= 110.6 × 109 = 1.11 × 1011
−3 2 −6
22. a. (−10 ) = 1.0 × 10
(10 2 )(10 −4 )
b. = 10−2/103 = 1.0 × 10−5
10 3
(10 −3 ) 2 (10 2 ) (10 −6 )(10 2 ) 10 −4
c. = = 4 = 1.0 × 10−8
10 4 10 4 10
3 4
(10 )(10 )
d. = 107/10−4 = 1.0 × 1011
10 − 4
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Contents
CHAPTER 1 1
CHAPTER 2 9
CHAPTER 3 13
CHAPTER 4 22
CHAPTER 5 29
CHAPTER 6 39
CHAPTER 7 52
CHAPTER 8 65
CHAPTER 9 86
CHAPTER 10 106
CHAPTER 11 124
CHAPTER 12 143
CHAPTER 13 150
CHAPTER 14 157
CHAPTER 15 170
CHAPTER 16 195
CHAPTER 17 202
CHAPTER 18 222
CHAPTER 19 253
CHAPTER 20 266
CHAPTER 21 280
CHAPTER 22 311
CHAPTER 23 318
CHAPTER 24 333
CHAPTER 25 342
TEST ITEM FILE 353
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Chapter 1
1. −
2. −
3. −
d 20,000 ft ⎡ 1 mi ⎤ ⎡ 60 s ⎤ ⎡ 60 min ⎤
4. υ= = = 1363.64 mph
t 10 s ⎢⎣ 5,280 ft ⎥⎦ ⎢⎣1 min ⎥⎦ ⎢⎣ 1 h ⎥⎦
⎡ 1h ⎤
5. 4 min ⎢ ⎥ = 0.067 h
⎣ 60 min ⎦
d 31 mi
υ= = = 29.05 mph
t 1.067 h
95 mi ⎡ 5,280 ft ⎤ ⎡ 1 h ⎤ ⎡1 min ⎤
6. a. = 139.33 ft/s
h ⎢⎣ mi ⎥⎦ ⎢⎣ 60 min ⎥⎦ ⎢⎣ 60 s ⎥⎦
d 60 ft
b. t= = = 0.431 s
υ 139.33 ft/s
d 60 ft ⎡ 60 s ⎤ ⎡ 60 min ⎤ ⎡ 1 mi ⎤
c. υ= = = 40.91 mph
t 1 s ⎢⎣1 min ⎥⎦ ⎢⎣ 1 h ⎥⎦ ⎢⎣ 5,280 ft ⎥⎦
7. −
8. −
9. −
5 5 5
10. MKS, CGS, °C = (°F − 32) = (68 − 32) = (36) = 20°
9 9 9
SI: K = 273.15 + °C = 273.15 + 20 = 293.15
⎡ 0.7378 ft - lb ⎤
11. 1000 J ⎢ ⎥ = 737.8 ft-lbs
⎣ 1J ⎦
⎡ 3 ft ⎤ ⎡12 in. ⎤ ⎡ 2.54 cm ⎤
12. 0.5 yd ⎢ ⎥⎢ ⎥⎢ ⎥ = 45.72 cm
⎣1 yd ⎦ ⎣ 1 ft ⎦ ⎣ 1 in. ⎦
13. a. 104 b. 106 c. 103 d. 10−3 e. 100 f. 10−1
14. a. 15 × 103 b. 30 × 10−3 c. 2.4 × 106 d. 150 × 103
e. 4.02 × 10−4 f. 2 × 10−10
Chapter 1 1
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15. a. 4.2 × 103 + 48.0 × 103 = 52.2 × 103 = 5.22 × 104
b. 90 × 103 + 360 × 103 = 450 × 103 = 4.50 × 105
c. 50 × 10−5 − 6 × 10−5 = 44 × 10−5 = 4.4 × 10−4
d. 1.2 × 103 + 0.05 × 103 − 0.6 × 103 = 0.65 × 103 = 6.5 × 102
16. a. (102)(103) = 105 = 100 × 103
b. (10−2)(103) = 101 = 10
c. (103)(106) = 1 × 109
d. (102)(10−5) = 1 × 10−3
e. (10−6)(10 × 106) = 10
f. (104)(10−8)(1028) = 1 × 1024
17. a. (50 × 103)(3 × 10−4) = 150 × 10−1 = 1.5 × 101
b. (2.2 × 103)(2 × 10−3) = 4.4 × 100 = 4.4
c. (82 × 106)(2.8 × 10−6) = 229.6 = 2.296 × 102
d. (30 × 10−4)(4 × 10−3)(7 × 108) = 840 × 101 = 8.40 × 103
18. a. 102/104 = 10−2 = 10 × 10−3
b. 10−2/103 = 10−5 = 10 × 10−6
c. 104/10−3 = 107 = 10 × 106
d. 10−7/102 = 1.0 × 10−9
e. 1038/10−4 = 1.0 × 1042
f. −2 = 101/10−2 = 1 × 103
19. a. (2 × 103)/(8 × 10−5) = 0.25 × 108 = 2.50 × 107
b. (4 × 10−3)/(60 × 104) = 4/60 × 10−7 = 0.667 × 10−7 = 6.67 × 10−8
c. (22 × 10−5)/(5 × 10−5) = 22/5 × 100 = 4.4
d. (78 × 1018)/(4 × 10−6) = 1.95 × 1025
20. a. (102)3 = 1.0 × 106 b. (10−4)1/2 = 10.0 × 10−3
c. (104)8 = 100.0 × 1030 d. (10−7)9 = 1.0 × 10−63
21. a. (4 × 102)2 = 16 × 104 = 1.6 × 105
b. (6 × 10−3)3 = 216 × 10−9 = 2.16 × 10−7
c. (4 × 10−3)(6 × 102)2 = (4 × 10−3)(36 × 104) = 144 × 101 = 1.44 × 103
d. ((2 × 10−3)(0.8 × 104)(0.003 × 105))3 = (4.8 × 103)3 = (4.8)3 × (103)3
= 110.6 × 109 = 1.11 × 1011
−3 2 −6
22. a. (−10 ) = 1.0 × 10
(10 2 )(10 −4 )
b. = 10−2/103 = 1.0 × 10−5
10 3
(10 −3 ) 2 (10 2 ) (10 −6 )(10 2 ) 10 −4
c. = = 4 = 1.0 × 10−8
10 4 10 4 10
3 4
(10 )(10 )
d. = 107/10−4 = 1.0 × 1011
10 − 4
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