Scientific Notation, Metric System, & Unit Conversion Review Worksheet
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6Physics 151
Scientific Notation, Metric System, & Unit Conversion
Review Worksheet
Scientific Notation
1. Rewrite the following numbers in scientific notation, in simplest form. Include units. Use appropriate
significant figures!
a. Altitude of summit of Mt. Ka‘ala (highest point on O‘ahu): 4020 ft =
b. Altitude of summit of Mauna Kea: 13,796 ft =
c. Thickness of a human hair: 0.015 cm =
d. Wavelength of reddish light: 0.0000007 m =
e. Height of your instructor: 1.80 m =
f. Number of galaxies in the universe: 1 trillion galaxies =
g. Age of the universe in seconds: 430,000,000,000,000,000 s =
3
h. Volume of a hydrogen atom: 0.000 000 000 000 000 000 000 000 621 cm
=
2. Calculate the following, and write your answer to each in scientific notation. Try to do (a)–(i) first without the
aid of your calculator, then check your answers by redoing them with your calculator. Assume that parts (a)–(h)
contain exact numbers with infinite precision; for parts (i)–(n), express only the appropriate number of significant
figures in your final answer. [Note that (b), (c), (g), (l), and (m) contain division signs, not plus signs.]
10
4
a. 10
× 10
=
10
4
b. 10
÷ 10
=
10
–4
c. 10
÷ 10
=
10
4
d. 10
+ 10
=
10
4
e. 10
− 10
=
5
12
f. (2 × 10
) × (3 × 10
) =
17
8
g. (3.5 × 10
) ÷ (7 × 10
) =
7
6
h. 10
− (3 × 10
) =
–5
–4
i. (42.3 × 10
) + (5.77 × 10
) =
6
–15
j. (34.9 × 10
) × (212 × 10
) =
–3
–10
k. (0.88 × 10
) × (6.3 × 10
) =
35
–13
l. (9.876 × 10
) ÷ (5.4321 × 10
) =
27
25
m. mass of Earth ÷ mass of Moon = (5.974 × 10
g) ÷ (7.348 × 10
g) =
27
25
n. mass of Earth − mass of Moon = (5.974 × 10
g) − (7.348 × 10
g) =
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