Conversions And Dimensional Analysis Worksheet With Answer Key - Germanna Community College
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7Conversions and Dimensional Analysis
Conversions are needed to convert one unit of measure into another equivalent unit of measure.
Ratios, sometimes called conversion factors, are fractions that denote the correlation between the
given unit and the desired unit. Dimensional analysis can be used to solve any conversion problem
and allows problems to be easily checked for possible errors. This handout focuses on the most
common conversions: metric, chemical, and multi-step.
Metric Conversions
A base unit is the basis of measurement in the sciences. The most commonly used base units are
liters (L) for liquids, grams (g) for mass, and meters (m) for distance. Metric base units can be
converted to other useful quantities by adding a prefix (see the common metric conversions table
below). The base unit does not have a prefix, and these prefixes are not used in any other measuring
system.
Common Metric Conversions
Prefix
Symbol
Exponential base units
Base units
in given unit
in given unit
9
Giga
G
10
1,000,000,000
6
Mega
M
10
1,000,000
3
Kilo
k
10
1,000
2
Hecto
h
10
100
1
Deca
da
10
10
BASE UNIT
-
10
0
1
Deci
d
10
-1
.1
Centi
c
10
-2
.01
Milli
m
10
-3
.001
Micro
µ
10
-6
.000001
Nano
n
10
-9
.000000001
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Conversions and Dimensional Analysis
Summer 2014
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