Physics 101 - Conversions And Powers Of Ten Exercise Page 2

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To convert S.I. prefixes, you can use multiplication and division, for example:
1 kg = 1000 g, so 2 kg = 2 x 1000 g = 2000 g
1 m = 1/1000 km or 0.001 km, so 2 m = 2 x (1/1000 km) or 2 x 0.001 km = 0.002 km
Using the method above complete the following:
1 microgram (μg) = ______________________ g
20 kilometers (km) = _____________________m
5 centimeters (cm) = _____________________ mm
2. Another way to convert S.I. prefixes and powers is to move the decimal point a particular number
of places. This is easiest done by writing out the units from largest to smallest. This is done below
for you using the mass unit gram (g), with spaces left for values that have no prefix.
μg
Gg
Mg
kg
hg
dag
g
dg
cg
mg
ng
When you convert, look at the direction and number of spaces moved on the grid above. This will
tell you the direction and number of spaces that the decimal point should move. For example, to
convert from Megagrams (Mg) to decigrams (d)g the decimal would move to the right seven
spaces. This procedure will work for any S.I. prefix, not only for grams.
Convert the S.I. prefixes below. The first one has been done for you:
a). 0.00028 mg =
0.28 __________µg
b) 226 cg = ___________________ g
c) 9.4 kg = ___________________ dag
d) 5400 mL = _________________ L
e). 2.73 hL = __________________ dL
f). 436 mm = __________________ m
g) 32.8 Mm = _________________ cm
3. The area of a rectangle is calculated by multiplying the length of one side by that of the other. In
other words, length x width or vice versa. By knowing the area of a table in meters, convert to the
other two units given below:
2
A = _____100_____________ m
2
A = __________________ cm
2
A = __________________ in
(1 in = 2.54 cm)
Physics 101 - Conversions and Powers of Ten Exercise
pg. 2/2

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