Measurement Examples And Worksheet - A-64 Appendix 5 Page 6
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36A-68
Appendix V Measurement
Self Check 6
6
EXAMPLE
Convert 40 ounces to pounds.
Convert 60 ounces to
Strategy
We will multiply 40 ounces by a carefully chosen unit conversion factor.
pounds.
WHY
If we multiply by the proper unit conversion factor, we can eliminate the
Now Try
Problem 47
unwanted units of ounces and convert to pounds.
Solution
To convert from ounces to pounds, we must choose a unit conversion factor whose
numerator contains the units we want to introduce (pounds), and whose
denominator contains the units we want to eliminate (ounces). Since there is
1 pound for every 16 ounces, we will use
1 lb
This is the unit we want to introduce.
This is the unit we want to eliminate (the original unit).
16 oz
To perform the conversion, we multiply.
40 oz
40 oz
1 lb
Write 40 oz as a fraction: 40 oz
. Then multiply by a
#
40 oz
1
1 lb
form of 1:
.
1
16 oz
16 oz
40 oz
1 lb
Remove the common units of ounces from the numerator
and denominator. Notice that the units of pounds remain.
1
16 oz
40
lb
Multiply the fractions.
16
There are two ways to complete the solution. First, we can remove any common
factors of the numerator and denominator to simplify the fraction. Then we can
write the result as a mixed number.
1
40
5 8
5
1
lb
lb
lb
2
lb
16
2 8
2
2
1
A second approach is to divide the numerator by the denominator and express the
result as a decimal.
2.5
16 40.0
40
lb
2.5 lb
32
Perform the division: 40
16.
16
8 0
8 0
1
40 ounces is equal to
2
lb (or 2.5 lb).
0
2
Self Check 7
7
EXAMPLE
Convert 25 pounds to ounces.
Convert 60 pounds to
Strategy
We will multiply 25 pounds by a carefully chosen unit conversion factor.
ounces.
WHY
If we multiply by the proper unit conversion factor, we can eliminate the
Now Try
Problem 51
unwanted units of pounds and convert to ounces.
Solution
To convert from pounds to ounces, we must chose a unit conversion factor whose
numerator contains the units we want to introduce (ounces), and whose
denominator contains the units we want to eliminate (pounds). Since there are
16 ounces per pound, we will use
16 oz
This is the unit we want to introduce.
This is the unit we want to eliminate (the original unit).
1 lb
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