Conversion Between Metric And Us Customary Units Worksheet

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7.3 Conversion Between Metric and US Customary Units
Converting units between the metric and US Customary systems is achieved by using conversion
tables. Conversion tables for the conversion of commonly used metric and US Customary units of
measurement are provided below:
Length
■ Metric units: kilometre (km), metre (m), centimetre (cm), and millimetre (mm)
■ US Customary units: mile (mi), yard (yd), foot (ft), and inch (in.)
Conversion Table
US Customary Units
Metric Units
1 mi
1.609 km
1 yd
0.9144 m
1 ft
30.48 cm
1 in.
2.54 cm
Converting Metric Units of Length to US Customary Units
Example 7.3-a
Convert the following measurements:
(i)
250 km to miles
(ii)
45 m to feet
Solution
(i)
250 km to miles:
1 mi
c
m as the conversion factor to cross-cancel the unit ‘km’ .
Use 1.609 km
1 mi
c
m
250 km = 250 km ×
1.609 km
1
= 250 ×
mi
1.609
= 155.376009… mi
= 155.38 mi
Therefore, 250 km is equal to 155.38 mi.
(ii)
45 m to feet:
1 ft
100 cm
c
m as the
c
m as the first conversion factor to cross-cancel the unit ‘m’ and 30.48 cm
Use
1 m
second conversion factor to cross-cancel the unit ‘cm’ .
1 ft
100 cm
c
m
c
m × 30.48 cm
45 m = 45 m ×
1 m
100
= 45 × 30.48
ft
= 147.637795… ft
= 147.64 ft
Therefore, 45 m is equal to147.64 ft.
7.3 Conversion Between Metric and US Customary Units

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