P B8(pg 1 of 2)
Metric Review and Converting Derived & Compound Units
Name_____________________
Name the metric “base” unit for the following measurements:
1. length
________________________
2. mass
________________________
3. volume
________________________
4. temperature ________________________
5.
1 ml is equal to how many cm3 ? ________________________
Derived and Compound Units - Make the following metric conversions:
6.
78.3 cm3
___________________ dm3
14. 0.62 g/ml
7.
1.05 km2
___________________ m2
15. 0.370 g/mm3 ___________________ g/cm3
8.
15 cm3
___________________ L
16. 9.70 g/ml
___________________ kg/L
9.
0.060 cm3
___________________ ml
17. 88 kg/dm3
___________________ g/cm3
10. 45.3 m2
___________________ cm2
18. 9.2 kg/ml
___________________ g/ml
11. 0.0058 m3
___________________ cm3
19. 0.0710 g/L
___________________ g/ml
20. 12 kg/L
___________________ g/ml
12. 0.0407 dm3 ___________________ mm3
13. 0.103 L
___________________ cm3
___________________ g/L
21. 3,650 mg/L ___________________ g/ml
Review − Make the following metric conversions:
22. 8.6 m
___________________ cm
30. 7.38 g
___________________ kg
23. 32 mg
___________________ g
31. 6.7 s
___________________ ms
24. 0.260 L
___________________ ml
32. 0.065 km
___________________ dm
25. 5.61 km
___________________ mm→
33. 42.7 L
___________________ ml
26. 0.044 km
___________________ m
34. 642 cg
___________________ kg
27. 4.6 mg
___________________ g
35. 8.73x109 mg ___________________ kg
28. 8.9 m
___________________ dm
36. 3.4 cm
___________________ mg
29. 0.107 g
___________________ cg
37. 0.020 kJ
___________________ J
38. Which of the following linear measure is the longest?
hint: convert all the measurements to the same units - doesn't matter which units as long as they are all the same.
a.
6 × 102 cm
b.
0.06 km
c.
6 × 105 dm
d.
6 × 106 mm
P B8 (pg 2 of 2)
Metric Review and Converting Derived & Compound Units
1.
meters
More Review
2.
grams
22. 860 cm
3.
Liters
23. 0.032 g
4.
ºC
5.
the same 1.0 cm3 ….memorize it.
24. 260 ml
Derived Units
6.
0.0783 dm3
Remember when changing cubed and squared units, you
•
move the decimal point the appropriate number of places
per the prefix change but ×2 if squared units and ×3 if
cubed units.
25. 5,610 m
27. 0.0046 g
28. 89 dm
29. 10.7 cg
30. 0.00738 kg
1,050,000 m2
31. 6,700 ms
8.
0.015 L Don’t forget that 1 cm3 = 1 ml.
32. 650 dm
9.
0.060 ml
33. 42,700 ml
10. 453,000
cm2
cm3
12. 40,700
mm3
13. 103 cm3
⎛ 0.62g ⎞ ⎛ 1000ml ⎞
⎟⎜
⎟ = 620g / L
1ml ⎠ ⎝ 1L ⎠
14. ⎜
⎝
⎛ 0.370g ⎞ ⎛ 10mm ⎞ ⎛ 10mm ⎞ ⎛ 10mm ⎞
15. ⎜
= 370.g / cm 3
⎝ mm 3 ⎟⎠ ⎜⎝ 1cm ⎟⎠ ⎜⎝ 1cm ⎟⎠ ⎜⎝ 1cm ⎟⎠
⎛ 9.70g ⎞ ⎛ 1kg ⎞ ⎛ 1000ml ⎞
⎟
⎜
⎟ = 9.70kg / L
1ml ⎠ ⎜⎝ 1000g ⎟⎠ ⎝ 1L ⎠
16. ⎜
⎝
(In effect the unit changes cancel each other out.)
88kg ⎞ ⎛ 1000g ⎞ ⎛ 1dm ⎞ ⎛ 1dm ⎞ ⎛ 1dm ⎞
17. ⎛⎜
= 88g / cm 3
⎝ dm 3 ⎟⎠ ⎜⎝ 1kg ⎟⎠ ⎜⎝ 10cm ⎟⎠ ⎜⎝ 10cm ⎟⎠ ⎜⎝ 10cm ⎟⎠
(Again, the unit changes cancel each other out.)
⎛ 9.2kg ⎞ ⎛ 1000g ⎞
= 9, 200g / ml
⎟
1ml ⎠ ⎜⎝ 1kg ⎟⎠
18. ⎜
⎝
⎛ 0.0710g ⎞ ⎛ 1L ⎞
⎟⎜
⎟ = 0.0000710g / ml
1L ⎠ ⎝ 1000ml ⎠
19. ⎜
⎝
⎛ 12kg ⎞ ⎛ 1L ⎞ ⎛ 1000g ⎞
= 12g / ml
⎟⎜
⎟
1L ⎠ ⎝ 1000ml ⎠ ⎜⎝ 1kg ⎟⎠
20. ⎜
⎝
(Again, the unit changes cancel each other out.)
⎛ 3, 650mg ⎞ ⎛ 1g ⎞ ⎛ 1L ⎞
⎟
⎜
⎟ = 0.00365g / ml
1L ⎠ ⎜⎝ 1000mg ⎟⎠ ⎝ 1000ml ⎠
21. ⎜
⎝
5,610,000 mm
26. 44 m
7.
11. 5800
ANSWERS
34. 0.00642 kg
35. 8.73 × 103 kg
36. this conversion can not be done, since you can’t convert a
length to a mass
that would be like trying to change inches to pounds
•
37. 20. J (note the decimal point to indicate 2 sig figs
38. Convert each to same units (I chose cm) then compare
a.
600 cm
b.
600 cm
c.
6,000,000 cm
d. 600,000 cm
clearly c is the larger measurement