Converting Units Math Worksheet

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Category: Classwork
Name ____________________ Student Number ______ Date _____________
Converting Units
Sometimes it is useful for measurements to be expressed in different units as were originally used. Instead of
taking the measurement over again in the desired unit, it is often easier to convert the unit using conversion
factors. In this worksheet you will practice constructing conversion factors and using them in unit
conversion problems.
CONVERSION FACTORS
Conversion factors are ratios of two equivalent (they are equal to each other) measurements. The numbers of
each measurement may not be the same, but both measurements (each with both its number and unit) are the
same. For example, 100 centimeters (cm) is equal in length to 1 meter (m). Because these measurements are
equal to each other, a conversion factor can be constructed from them. Units are displayed using their
abbreviations. Below are the two possibilities for the ratio between 100 cm and 1 m:
100
cm
1
m
1
m
100
cm
Conversion factors can be unusual too. For example, 1 football field (fbf) is 100 yards (yd) long. This can
also be stated as “1 football field is equal to 100 yards” or “1 football field is equivalent to 100 yards”. The
conversion factors between these two measurements would then be:
1
fbf
100
yd
100
yd
1
fbf
Complete the following questions to create conversion factors:
1. 10 millimeters (mm) is equivalent to 1 centimeter (cm). Write the two conversion factors that can be
constructed from these measurements in the space below.
2. 1 kilogram (kg) has a mass equal to 1000 grams (g). Write the two conversion factors that can be
constructed from these measurements in the space below.
3. Complete the blanks in the statement below, and then write the two conversion factors that can be
constructed from the measurements.
_______________ second (s) is equivalent to _______________ minutes (min)

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