Conversion Between Metric And Us Customary Units Worksheet Page 3
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Solution
1 lb
c
m
2.5 kg = 2.5 kg ×
continued
0.454 kg
1
= 2.5 × 0.454
lb
= 5.506607… lb
= 5.51 lb
Therefore, 2.5 kg is equal to 5.51 lb.
(ii)
400 g to ounces:
1 oz
c
m as the conversion factor to cross cancel the unit ‘g’ .
Use
28.35 g
1 oz
c
m
400 g = 400 g ×
28.35 g
1
= 400 ×
oz
28.35
= 14.109347… oz
= 14.11 oz
Therefore, 400 g is equal to 14.11 oz.
Converting US Customary Units of Mass to Metric Units
Example 7.3-d
Convert the following measurements:
(i)
1.75 lb to grams
(ii)
225 oz to kilograms
Solution
(i)
1.75 lb to grams:
1,000 g
0.454 kg
Use
as the first conversion factor to cross-cancel the unit ‘lb’ and
as the
1 kg
1 lb
second conversion factor to cross-cancel the unit ‘kg’ .
0.454 kg
1,000 g
1.75 lb = 1.75 lb ×
×
1 lb
1 kg
= 1.75 × 0.454 × 1,000 grams
= 794.5 grams
Therefore, 1.75 lb is equal to 794.5 g.
(ii)
225 oz to kilograms:
1 kg
28.35 g
c
m as the
Use
m as the first conversion factor to cross-cancel the unit ‘oz’ and 1, 000 g
c
1 oz
second conversion factor to cross-cancel the unit ‘g’ .
28.35 g
1 kg
c
m ×
c
m
225 oz = 225 oz ×
1 oz
1, 000 g
28.35
= 225 ×
kg
1, 000
= 6.37875 kg
= 6.38 kg
Therefore, 225 oz is equal to 6.38 kg.
7.3 Conversion Between Metric and US Customary Units
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