Measurement Examples And Worksheet - A-64 Appendix 5 Page 29
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36A-91
V.3 Converting between American and Metric Units
To perform the conversion, we multiply.
82 cm
82 cm
0.39 in.
Write 82 cm as a fraction:
82 cm
.
1
82 cm
0.39 in.
Multiply by a form of 1:
.
1
1 cm
1 cm
82 cm
0.39 in.
Remove the common units of centimeters from the
numerator and denominator. The units of inches remain.
1
1 cm
82 0.39 in.
0.39
Simplify.
82
31.98 in.
Do the multiplication.
78
32 in.
Round to the nearest inch (ones column).
3120
31.98
To the nearest inch, the waist size is 32 inches.
Self Check 2
2
EXAMPLE
Mountain Elevations
Pikes Peak, one of the most
Which is
TRACK AND FIELD
famous peaks in the Rocky Mountains, has an elevation of 14,110 feet. The
longer: a 500-meter race or a
Matterhorn, in the Swiss Alps, rises to an elevation of 4,478 meters. Which
550-yard race?
mountain is higher?
Now Try
Problem 17
Strategy
We will convert the elevation of Pikes Peak, which given in feet, to
meters.
WHY
Then we can compare the mountain’s elevations in the same units, meters.
Solution
To convert Pikes Peak elevation from feet to meters we must choose a unit
conversion factor whose numerator contains the units we want to introduce
(meters) and whose denominator contains the units we want to eliminate (feet).
From the second row of the American to metric column of the table, we see that
there is approximately 0.30 meter per foot. Thus, we will use the unit conversion
factor:
0.30 m
This is the unit we want to introduce.
This is the unit we want to eliminate (the original unit).
1 ft
To perform the conversion, we multiply.
14,110 ft
14,110 ft
0.30 m
Write 14,110 ft as a fraction:
14,110 ft
.
1
14,110 ft
0.30 m
1
1 ft
Multiply by a form of 1:
.
1 ft
1
1
4,110
Remove the common units of feet from
14,110 ft
0.30 m
0.30
the numerator and denominator. The
1
1 ft
000 00
units of meters remain.
4233 00
14,110 0.30 m
Simplify.
4233.00
4,233 m
Do the multiplication.
Since the elevation of Pikes Peak is about 4,233 meters, we can conclude that the
Matterhorn, with an elevation of 4,478 meters, is higher.
We can convert between American units of weight and metric units of mass using
the rounded approximations in the following table.
Equivalent Weights and Masses
American to metric
Metric to American
1 oz
28.35 g
1 g
0.035 oz
1 pound
1 lb
0.45 kg
1 kg
2.20 lb
1 kilogram
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