Measurement Examples And Worksheet - A-64 Appendix 5 Page 5
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36A-67
V.1 American Units of Measurement
Strategy
We will use a two-part multiplication process that converts 120 yards to
feet and then converts that result to miles.
WHY
We must use a two-part process because the table on page 445 does not
contain a single unit conversion factor that converts from yards to miles.
Solution
Since there are 3 feet per yard, we can convert 120 yards to feet by multiplying by
3ft
the unit conversion factor
. Since there is 1 mile for every 5,280 feet, we can
1yd
1 mi
convert that result to miles by multiplying by the unit conversion factor
.
5,280 ft
120 yd
Write 120 yd as a fraction: 120 yd
.
120 yd
3 ft
1 mi
1
120 yd
Then multiply by two unit conversion
1
1 yd
5,280 ft
3 ft
1 mi
factors:
1
and
1
.
1 yd
5,280 ft
Remove the common units of yards and
120 yd
3 ft
1 mi
feet in the numerator and denominator.
Notice that all the units are removed
1
1 yd
5,280 ft
except for miles.
#
120
3
mi
Multiply the fractions.
5,280
1
1
1
1
1
To simplify the fraction, prime factor
2
2
2
3
5
3
mi
120 and 5,280, and remove the common
2
2
2
2 2 3
5
11
factors 2, 3, and 5.
1
1
1
1
1
Multiply the remaining
3
factors in the numerator.
mi
Multiply the remaining
44
0.068
factors in the denominator.
44 3.000
0
3
A football field (including the end zones) is exactly
miles long.
3 00
44
We can also present this conversion as a decimal. If we divide
2 64
3 by 44 (as shown on the right), and round the result to the nearest
360
hundredth, we see that a football field (including the end zones) is
352
approximately 0.07 mile long.
8
Define American units of weight.
4
The American system of measurement uses the units of ounce, pound, and ton to
measure weight. These units are related in the following ways.
American Units of Weight
1 pound (lb)
16 ounces (oz)
1 ton (T)
2,000 pounds
The abbreviation for each unit is written within parentheses.
Convert from one American unit of weight to another.
5
To convert units of weight in the American system of measurement, we use the
following unit conversion factors. Each conversion factor shown below is a form of 1.
Use the unit
Use the unit
To convert
conversion
To convert
conversion
from
factor
from
factor
16 oz
1 lb
pounds to ounces
ounces to pounds
1 lb
16 oz
2,000 lb
1 ton
tons to pounds
pounds to tons
1 ton
2,000 lb
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