Metric Conversions

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10 Metric Conversions and Unit Analysis
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pm
picometer
x 103
Very small
x 103
?m
nanometer
x 103
µm
micrometer
x 103
mm
millimeter
x 103
m
meter
x 103
km
kilometer
x 103
Mm
megameter
x 103
Gm
gegameter
Tm
terameter
Very big
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You should also know
x 101
mm
millimeter
x 102
cm
centimeter
m
meter
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We are going to use unit analysis to do some
metric conversions. The main purpose of this is
to learn unit analysis and secondly learn about
metric conversions. To facilitate this you are
only allowed to convert by 103 x per conversion.
Please do the same in your workbook. We use
unit analysis as our main calculation tool in
Chemistry 11 and Chemistry 12. Learn it well
and you will do awesome in chemistry.
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1. Convert 1.23 x 1012 Mm to m- you can only
convert by 103 in any one step!
x 1 x 103 km
1.23 x 1012 Mm
x 1 x 103 m
1 km
1 Mm
1.23 x 1018 m
Write the starting number and units
Multiply with 1 Mm on the bottom and 103 km on top
Mutiply with 1 km on the bottom and 103 m on top
Do the math and round off to three sig figs
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2. Convert 6.5 x 10-6 m to nm- you can only
convert by 103 in any one step!
6.5 x 10-6 m
x 1 x 103 mm
x 1 x 103 nm
x 1 x 103 µm
1 m
1 mm
1 µm
6.5 x 103 nm
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3. Convert 6.5 x 106 nm to m- you can only
convert by 103 in any one step!
6.5 x 106 nm
x 1 µm
x 1 mm
x 1 m
1 x 103 nm
1 x 103 µm
1 x 103 mm
6.5 x 10-3 m
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4. Convert 5.88 x 108 µm to km
5.88 x 108 µm
x 1 mm
x 1 m
x 1 km
1 x 103 µm
1 x 103 mm
1 x 103 m
5.88 x 10-1 km
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5. Convert 65 m2 to mm2
( )2
mm
2
x 1 x 103
65 m2
2
1 m
6.5 x 107 mm2
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6. Convert 875 mm3 to m3
875 mm3
x 1 m
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3
( )3
1 x 103
mm
8.75 x 10-7 m3