Conversion Between Metric And Us Customary Units Worksheet Page 2
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Example 7.3-b
Converting US Customary Units of Length to Metric Units
Convert the following measurements:
(i)
8.75 yd to centimetres
(ii)
2.5 mi to metres
Solution
(i)
8.75 yd to centimetres:
100 cm
0.9144 m
c
m as the
c
m as the first conversion factor to cross-cancel the unit ‘yd’ and
Use
1 m
1 yd
second conversion factor to cross-cancel the unit ‘m’ .
0.9144 m
100 cm
c
m ×
c
m
8.75 yd = 8.75 yd ×
1 yd
1 m
= 8.75 × 0.9144 × 100 cm
= 800.1 cm
Therefore, 8.75 yd is equal to 800.1 cm.
(ii)
2.5 mi to metres:
1, 000 m
1.609 km
c
m as
Use
as the first conversion factor to cross-cancel the unit ‘mi’ and
c
m
1 km
1 mi
the second conversion factor to cross-cancel the unit ‘km’ .
1, 000 m
1.609 km
c
m
c
m ×
2.5 mi = 2.5 mi ×
1 km
1 mi
= 2.5 × 1.609 × 1,000 m
= 4,022.5 m
Therefore, 2.5 mi is equal to 4,022.5 m.
Mass
■ Metric units: kilogram (kg), gram (g), and milligram (mg)
■ US Customary units: ton (ton), pound (lb), and ounce (oz)
Conversion Table
US Customary Units
Metric Units
1 ton
907.2 kg
1 lb
0.454 kg
1 oz
28.35 g
Converting Metric Units of Mass to US Customary Units
Example 7.3-c
Convert the following measurements:
(i)
2.5 kg to pounds
(ii)
400 g to ounces
(i)
2.5 kg to pounds:
Solution
1 lb
c
m as the conversion factor to cross-cancel the unit ‘kg’ .
Use 0.454 kg
Chapter 7 | Units of Measurement
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