Contemporary Mathematics

# Chapter 9

9.1
1.
gram (g)
2.
meter (m)
3.
liter (L)
9.2
1.
kilogram, hectogram, decagram
9.3
1.
2.5 m
9.4
1.
245 cm
9.5
1.
0.76 daL
9.6
1.
145.7 cg
9.7
1.
1.25 L
9.8
1.
Yes, 352 mg of caffeine is equal to 0.352 g, which is less than 0.5 g.
9.9
1.
Since 3,810 m is 3.81 km, Kyrie’s skydive was at a greater altitude.
9.10
1.
km2
9.11
1.
1,800 cm2
9.12
1.
Yes. The unit of value, cm2, is appropriate given the size of a sheet of paper. Because the total area of 2,412.89 cm2 represents four sheets of paper, each sheet is approximately 600 cm2, which seems reasonable for a sheet of letter-size paper.
9.13
1.
153.29 m2
9.14
1.
1,365,000 cm2
9.15
1.
1.06 m2
9.16
1.
34 m2
9.17
1.
1,250 m2
9.18
1.
70 m2
9.19
1.
8 m3
9.20
1.
40,000 cm2
9.21
1.
Yes. The unit of value, mm3, may be appropriate given the size of the paperweight. The volume of 125,000 mm3 is equivalent to a volume of 125 cm3, which would represent a cubic box with dimensions of $5\,{\text{cm}}\times 5\,{\text{cm}} \times 5\,{\text{cm}}$.
9.22
1.
8,000 mm3
9.23
1.
37,854,000 cm3
9.24
1.
465 m3
9.25
1.
19 L
9.26
1.
37,854 L
9.27
1.
800 mL
9.28
1.
100,000 boxes
9.29
1.
6,000 boxes
9.30
1.
18.75 L
9.31
1.
2.5 g
9.32
1.
1,300 kg
9.33
1.
A reasonable value for the weight of an Etruscan shrew is 2 g. A 2 L bottle of water weighs 2 kg, and since it is one of the smallest mammals, the shrew must weigh less than that, so 2 g seems reasonable.
9.34
1.
0.175 kg
9.35
1.
4,869 g
9.36
1.
1,230,000 mg
9.37
1.
7.5 mL
9.38
1.
5 kg
9.39
1.
111,111 potatoes
9.40
1.
250 °C
9.41
1.
167 °F
9.42
1.
Since Toronto has a temperature of 14.1 °C, Madrid has the higher temperature by 2.6 °C.
9.43
1.
Recall that water boils at 100 °C. The more reasonable value for the temperature of the mixture is 148 °C. So, 48 °C is not sufficient to bring the mixture to a boil.
9.44
1.
37 °C
9.45
1.
60 °C
9.46
1.
–2 °C
9.47
1.
63 °C
9.48
1.
180 minutes, or 1 hour and 30 minutes

## Check Your Understanding

1.
meter
2.
grams
3.
12 hectoliters
4.
15.20 m or 15.2 m
5.
134 dam
6.
1.27 hg
7.
750,000,000 mm
8.
They are equal in size.
9.
12 m2
10.
1,200 m2
11.
2.5 m2
12.
2
13.
57,000
14.
21,700
16.
50,000 cm3
17.
236 mL
18.
1,500 cm3
19.
42.5
20.
1,500
21.
6,750
22.
800
23.
10.2
24.
163.52
25.
50 g
26.
180 kg
27.
624 g
28.
8.9
29.
17,000
30.
70
31.
0.144
32.
196,000
33.
0.09
34.
28.5 °F
35.
20 °C
36.
71.1 °C
37.
210
38.
100
39.
35
40.
107
41.
81
42.
399
Order a print copy

As an Amazon Associate we earn from qualifying purchases.