Measurement Examples And Worksheet - A-64 Appendix 5 Page 21
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36A-83
V.2 Metric Units of Measurement
We can use the unit conversion factor method to confirm this result.To convert
to grams, we must choose a unit conversion factor such that the units of kilograms
drop out and the units of grams remain. Since there are 1,000 grams per 1 kilogram,
1,000 g
we multiply 7.86 kilograms by
.
1 kg
1,000 g
7.86 kg
Remove the common units of kilograms in the
7.86 kg
numerator and denominator. The units of g remain.
1
1 kg
#
7.86
1,000 g
Simplify.
Multiply 7.86 by 1,000 by moving the
7,860 g
decimal point 3 places to the right.
Self Check 7
7
EXAMPLE
Medications
A bottle of Verapamil, a drug taken for high
A bottle of
MEDICATIONS
blood pressure, contains 30 tablets. If each tablet has 180 mg of active ingredient,
Isoptin (a drug taken for high
how many grams of active ingredient are in the bottle?
blood pressure) contains
Strategy
We will multiply the number of tablets in one bottle by the number of
90 tablets, and each has 200 mg
milligrams of active ingredient in each tablet.
of active ingredient, how many
grams of active ingredient are
WHY
We need to know the total number of milligrams of active ingredient in one
in the bottle?
bottle before we can convert that number to grams.
180
Now Try
Problems 47 and 95
Solution
30
000
Since there are 30 tablets, and each one contains 180 mg of active
5400
ingredient, there are
5,400
#
30
180 mg
5,400 mg
5400.0 mg
of active ingredient in the bottle. To use a conversion chart to solve this problem,
we locate the original units of milligrams and then move to the conversion units of
grams, as shown below.
kg
hg
dag
g
dg
cg
mg
3 places to the left
We see that the decimal point in 5,400.0 should be moved 3 places to the left
to convert from milligrams to grams.
5,400 milligrams
5.400 grams
Move 3 places to the left.
There are 5.4 grams of active ingredient in the bottle.
We can use the unit conversion factor method to confirm this result. To
1 g
convert milligrams to grams, we multiply 5,400 milligrams by
.
1,000 mg
Remove the common units of milligrams
5,400 mg
1 g
from the numerator and denominator.
5,400 mg
1
1,000 mg
The units of g remain.
5,400
g
Multiply the fractions.
1,000
Divide 5,400 by 1,000 by moving the understood
5.4 g
decimal point in 5,400 three places to the left.
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