Measurement Examples And Worksheet - A-64 Appendix 5 Page 23
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36A-85
V.2 Metric Units of Measurement
Convert from one metric unit of capacity to another.
8
Self Check 8
8
EXAMPLE
Soft Drinks
How many milliliters are in three 2-liter
How many milliliters
SOFT DRINKS
bottles of cola?
are in a case of twelve 2-liter
Strategy
We will multiply the number of bottles of cola by the number of liters
bottles of cola?
of cola in each bottle.
Now Try
Problems 51 and 97
WHY
We need to know the total number of liters of cola before we can convert
that number to milliliters.
Solution
Since there are three bottles, and each contains 2 liters of cola, there are
3 2 L
6 L
6.0 L
of cola in the bottles. To construct a conversion chart, we list the metric units of
capacity from largest (kiloliters) to smallest (milliliters), working from left to right.
Then we locate the original units of liters and move to the conversion units of
milliliters, as shown below.
kL
hL
daL
L
dL
cL
mL
largest unit
smallest unit
3 places to the right
We see that the decimal point in 6.0 should be moved 3 places to the right to
convert from liters to milliliters.
6 liters
6 000. milliliters
6,000 milliliters
Move 3 places to the right.
Thus, there are 6,000 milliliters in three 2-liter bottles of cola.
We can use the unit conversion factor method to confirm this result.To convert
to milliliters, we must chose a unit conversion factor such that liters drop out and
the units of milliliters remain. Since there are 1,000 milliliters per 1 liter, we
1,000 mL
multiply 6 liters by the unit conversion factor
.
1 L
1,000 mL
6 L
Remove the common units of liters in the numerator
6 L
and denominator. The units of mL remain.
1
1 L
#
6
1,000 mL
Simplify.
Multiply 6 by 1,000 by moving the understood decimal
6,000 mL
point in 6 three places to the right.
Define a cubic centimeter.
9
Another metric unit of capacity is the cubic centimeter, which is represented by the
3
notation cm
or, more simply, cc. One milliliter and one cubic centimeter represent the
same capacity.
3
1 mL
1 cm
1 cc
The units of cubic centimeters are used
frequently in medicine. For example, when a
nurse administers an injection containing 5 cc of
medication, the dosage can also be expressed
using milliliters.
5 cc
5 mL
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