Converting Units Math Worksheet Page 2
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Name ____________________ Student Number ______ Date _____________
4. Complete the blanks in the statement below, and then write the two conversion factors that can be
constructed from the measurements.
_______________ minutes (min) is equivalent to _______________ hour (hr)
If a chart of SI Prefixes happens to be handy (such as the chart on textbook page 26) it is easy to construct
conversion factors between measurements with these prefixes. What if, for example, a conversion factor
between millimeters (mm) and centimeters (cm) was desired? First the number associated with each prefix
should be determined. For millimeters, the prefix is milli- while for centimeters the prefix is centi-. The
number for each prefix is determined below (Note: The number for a unit without a prefix, such as just
meter, is 1):
Prefix
Number
milli-
0.001
centi-
0.01
To construct the conversion factor between millimeters and centimeters we pair up the smaller number with
the greater unit and the greater number with the smaller unit. What does this mean exactly? Well, it is easy
to see that the smaller number from above is 0.001 and that 0.01 is larger. Likewise, the larger unit is the
one with the larger number (in the chart). So this means that centimeters is larger than millimeters. Now to
create the conversion factor you must pair the smaller number with the larger unit and the larger number
with the smaller unit. See the example of one of the conversion factors below:
Smaller
Larger
centimeter
s
0.001
number
unit
0.01
millimeter
s
Smaller
Larger
unit
number
The two conversion factor between centimeters and millimeters would then be as follows:
0.01
mm
0.001
cm
0.001
cm
0.01
mm
Determine the requested conversion factors below. First determine the prefixes and number associated with
them. Then determine the conversion factors. Use Figure 15 on textbook page 17.
5. Conversion factors between kilograms and milligrams.
Larger prefix: ______________ Larger number: ______________
Smaller prefix: ______________ Smaller number: ______________
Conversion Factors:
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