Measurement Examples And Worksheet - A-64 Appendix 5 Page 4
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36A-66
Appendix V Measurement
Self Check 4
4
EXAMPLE
3
1
Convert
1
feet to inches.
Convert 1 feet to inches.
4
2
Now Try
Problem 39
3
Strategy
We will multiply
1
feet by a carefully chosen unit conversion factor.
4
WHY
If we multiply by the proper unit conversion factor, we can eliminate the
unwanted units of feet and convert to inches.
Solution
To convert from feet to inches, we must choose a unit conversion factor whose
numerator contains the units we want to introduce (inches), and whose
denominator contains the units we want to eliminate (feet). Since there are
12 inches per foot, we will use
12 in.
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.
3
3
7
3
7
12 in.
Write
1
as an improper fraction:
1
.
#
1
ft
ft
4
4
4
12 in.
4
4
1 ft
Then multiply by a form of 1:
.
1 ft
7
12 in.
Remove the common units of feet from the numerator and
ft
denominator. Notice that the units of inches remain.
4
1 ft
#
7
12
in.
Multiply the fractions.
#
4
1
1
7 3 4
To simplify the fraction, factor 12. Then remove the common
in.
factor of 4 from the numerator and denominator.
4
1
1
21 in.
Simplify.
3
1
feet is equal to 21 inches.
4
Caution!
When converting lengths, if no common units appear in the
numerator and denominator to remove, you have chosen the wrong
conversion factor.
Sometimes we must use two (or more) unit conversion factors to eliminate the
given units while introducing the desired units. The following example illustrates this
concept.
Self Check 5
5
EXAMPLE
Football
A football field (including both end zones) is
The marathon is a
MARATHONS
120 yards long. Convert this length to miles. Give the exact answer and a decimal
long-distance race with an official
approximation, rounded to the nearest hundredth of a mile.
distance of 26 miles 385 yards.
Convert 385 yards to miles.
Give the exact answer and a
decimal approximation, rounded
to the nearest hundredth of a
mile.
Now Try
Problem 43
1 0
4 0
3 0
2 0
1 0
2 0
3 0
4 0
5 0
120 yd
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