Review Sheet – Math Skills
Perform the following metric conversions.
1.
2.
3.
4.
5.
6.
7018 g = ________ mg
34 km = _________ cm
92 cm = _________ dm
300,000 mm = __________ m
14,000 msec = __________ sec
0.195 kg = ___________ g
How many significant figures are in the following?
1. 0.001800 cm
2. 40000 g
3. 600.0 km
4. 8.50 m
5. 500.31 g
6. 0.100 km
7. 100 km
8. 0.01002 kg
9. 76005 cm
10. 4.0 mg
Use the proper significant figure rules and perform the following calculations.
1. 4.114g + 6.02 g + 23.1 g =
2. 0.001 m + 0.120 m + 0.034 m =
3. 23.453 cm + 245.8933 cm + 2.01 cm + 12.678 cm =
4. 345.0 g – 21.13 g =
5. 16.5544 g – 13 g =
6. 41.89 cm x 15.001 cm =
7. 100.00 m x 4.00 m =
8. 4.64 m2 / 21.5 m =
9. 5.664 cm2 / 6.003 cm =
10. 41.56 m2 / 0.76 m =
Express the following numbers in scientific notation.
1.
2.
3.
4.
5.
0.0000050
45,000,000
23,233,000
0.003
3.445
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Express the following numbers in regular notation.
1.
2.
3.
4.
5.
5.670 X 105
1 X 10-4
4.5 X 106
1.005 X 103
3.20 X 10-3
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Perform the following operations in scientific notation. Express your answer in proper
scientific notation with proper significant figures.
1.
2.
3.
4.
5.
6.
4.55 X 105 x 5.601 X 106 =
3.21 X 108 x 1.2 X 104 =
3.432 X 10-3 / 2.331 X 10-8 =
2.8 X 101 x 7.85 X 104 =
3.08 X 1035 / 7.8 X 1014 =
1.29 X 10-8 / 1.230 X 10-5 =
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Dimensional Analysis Problems:
1. How many inches are in 6.22 miles? There are 5280 ft in a mile.
2. If you are running 5.00 km at 8.00 minutes per mile, how many minutes did it
take you to finish? (0.621 mile = 1 km)
Density Problems:
1. What is the volume of a piece of aluminum that has a mass of 30.3 grams? The
density of Al is 2.70 g/cm3.
2. The density of a liquid sample is 13.6 g/mL, and has a volume of 20.0 mL. How
much mass does the liquid have?