Measurement Examples And Worksheet - A-64 Appendix 5 Page 17
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36A-79
V.2 Metric Units of Measurement
To perform the conversion, we multiply 350 centimeters by the unit conversion
1 m
factor
.
100 cm
350 cm
350 cm
1 m
Write 350 cm as a fraction: 350 cm
.
#
350 cm
1
1 m
1
100 cm
Multiply by a form of 1:
.
100 cm
Remove the common units of centimeters from the
350 cm
1 m
numerator and denominator. Notice that the units
1
100 cm
of meter remain.
350
m
Multiply the fractions.
100
Write the whole number 350 as a decimal by
350.0
m
placing a decimal point immediately to its
100
right and entering a zero: 350
350.0
Divide 350.0 by 100 by moving the decimal
3.5 m
point 2 places to the left: 3.500.
Thus, 350 centimeters
3.5 meters.
Use a conversion chart to convert metric units of length.
4
In Example 3, we converted 350 centimeters to meters using a unit conversion factor.
We can also make this conversion by recognizing that all units of length in the metric
system are powers of 10 of a meter.
To see this, review the table of metric units of length on page A-78. Note that each
1
unit has a value that is
of the value of the unit immediately to its left and 10 times
10
the value of the unit immediately to its right. Converting from one unit to another is
as easy as multiplying (or dividing) by the correct power of 10 or, simply moving a
decimal point the correct number of places to the right (or left). For example, in the
conversion chart below, we see that to convert from centimeters to meters, we move
2 places to the left.
km
hm
dam
m
dm
cm
mm
largest unit
smallest unit
To go from centimeters to meters,
we must move 2 places to the left.
If we write 350 centimeters as 350.0 centimeters, we can convert to meters by
moving the decimal point 2 places to the left.
350.0 centimeters
3.500 meters
3.5 meters
Move 2 places to the left.
With the unit conversion factor method or the conversion chart method, we get
350 cm
3.5 m.
Caution!
When using a chart to help make a metric conversion, be sure to list
the units from largest to smallest when reading from left to right.
Self Check 4
4
EXAMPLE
Convert 2.4 meters to millimeters.
Convert 5.3 meters to
Strategy
On a conversion chart, we will count the places and note the direction
millimeters.
as we move from the original units of meters to the conversion units of millimeters.
Now Try
Problem 35
WHY
The decimal point in 2.4 must be moved the same number of places and in
that same direction to find the conversion to millimeters.
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