Chapter 9

gram (g)

meter (m)

liter (L)

kilogram, hectogram, decagram

2.5 m

245 cm

0.76 daL

145.7 cg

1.25 L

Yes, 352 mg of caffeine is equal to 0.352 g, which is less than 0.5 g.

Since 3,810 m is 3.81 km, Kyrie’s skydive was at a greater altitude.

km²

1,800 cm²

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.

153.29 m²

1,365,000 cm²

1.06 m²

34 m²

1,250 m²

70 m²

8 m³

40,000 cm²

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 $5\text{cm}\times <!--\; \times \; -->5\text{cm}\times <!--\; \times \; -->5\text{cm}$.

8,000 mm³

37,854,000 cm³

465 m³

19 L

37,854 L

800 mL

100,000 boxes

6,000 boxes

18.75 L

2.5 g

1,300 kg

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.

0.175 kg

4,869 g

1,230,000 mg

7.5 mL

5 kg

111,111 potatoes

250 °C

167 °F

Since Toronto has a temperature of 14.1 °C, Madrid has the higher temperature by 2.6 °C.

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.

37 °C

60 °C

–2 °C

63 °C

180 minutes, or 1 hour and 30 minutes

meter

grams

12 hectoliters

15.20 m or 15.2 m

134 dam

1.27 hg

750,000,000 mm

They are equal in size.

12 m²

1,200 m²

2.5 m²

2

57,000

21,700

50,000 cm³

236 mL

1,500 cm³

42.5

1,500

6,750

800

10.2

163.52

50 g

180 kg

624 g

8.9

17,000

70

0.144

196,000

0.09

28.5 °F

20 °C

71.1 °C

210

100

35

107

81

399