Measurement Examples And Worksheet - A-64 Appendix 5 Page 30
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36A-92
Appendix V Measurement
Self Check 3
3
EXAMPLE
Convert 50 pounds to grams.
Convert 68 pounds to
Strategy
We will use a two-part multiplication process that converts 50 pounds to
grams. Round to the
ounces, and then converts that result to grams.
nearest gram.
WHY
We must use a two-part process because the conversion table on page A-91
Now Try
Problem 21
does not contain a single unit conversion factor that converts from pounds to grams.
Solution
Since there are 16 ounces per pound, we can convert 50 pounds to ounces
16 oz
by multiplying by the unit conversion factor
. Since there are approximately
1 lb
28.35 g per ounce, we can convert that result to grams by multiplying by the unit
28.35 g
conversion factor
.
1 oz
50 lb
28.35 g
50 lb
16 oz
Write 50 lb as a fraction:
50 lb
. Multiply
1
50 lb
16 oz
28.35 g
1
1 lb
1 oz
by two forms of 1:
and
.
1 lb
1 oz
Remove the common units of pounds and ounces
28.35 g
50 lb
16 oz
from the numerator and denominator. The units
1
1 lb
1oz
of grams remain.
50 16 28.35 g
Simplify.
3
6
2
4
800 28.35 g
Multiply: 50 16
800.
1
6
2
8
.3
5
50
800
22,680 g
Do the multiplication.
800
22680.00
Thus, 50 pounds
22,680 grams.
Self Check 4
4
EXAMPLE
Packaging
Does a 2.5 pound tub of butter weigh more
Who weighs
BODY WEIGHT
than a 1.5-kilogram tub?
more, a person who weighs
Strategy
We will convert the weight of the 1.5-kilogram tub of butter to pounds.
165 pounds or one who weighs
76 kilograms?
WHY
Then we can compare the weights of the tubs of butter in the same units,
pounds.
Now Try
Problem 25
Solution
To convert 1.5 kilograms 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 (kilograms). From the second
row of the Metric to American column of the table, we see that there are
approximately 2.20 pounds per kilogram. Thus, we will use the unit conversion
factor:
2.20 lb
This is the unit we want to introduce.
This is the unit we want to eliminate (the original unit).
1 kg
To perform the conversion, we multiply.
1.5 kg
1.5 kg
2.20 lb
Write 1.5 kg as a fraction:
1.5 kg
.
1.5 kg
1
2.20 lb
1
1 kg
Multiply by a form of 1:
.
1 kg
2.20
Remove the common units of kilograms from
1.5 kg
2.20 lb
1.5
the numerator and denominator. The units
1
1 kg
1100
of pounds remain.
2200
1.5 2.20 lb
Simplify.
3.300
3.3 lb
Do the multiplication.
Since a 1.5-kilogram tub of butter weighs about 3.3 pounds, the 1.5-kilogram tub
weighs more.
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