15.8: Chapter 9

Your Turn

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