Essentials of Math 10
Apprenticeship & Workplace Math 10 Imperial System
Lesson focus: To be able to convert between different imperial units.
• the imperial system is a measurement system that is still in use in industry and the trades
• as compared to the metric system, there is no consistent multiple between the units
• the relationships between common imperial units are given below
a) 1 foot (ft) = ______ inches (in)
b) 1 yard (yd) = ______ feet (ft) = ______ inches (in)
c) 1 mile (mi) = ________ yards (yd) = ________ feet (ft)
• the above relationships can be summarized in the diagram below
• when converting between imperial units, multiply or divide by the conversion factor
• complete the following table to indicate the method of conversion between imperial units
|Starting unit |Finishing unit |Conversion factor |
|mi |yd | |
|mi |ft | |
|mi |in | |
|yd |mi | |
|yd |ft | |
|yd |in | |
|ft |mi | |
|ft |yd | |
|ft |in | |
|in |mi | |
|in |yd | |
|in |ft | |
• we should ____________________ when converting from a large unit to a smaller unit
• we should ____________________ when converting from a small unit to a larger unit
e.g. Indicate the conversions factors used in each question. Leave all answers in to the nearest tenth (when necessary).
1) 36 ft = ___________ yd 4) 42 in = _____________ ft
2) 2 mi = _____________ ft 5) 1200 ft = _____________ mi
3) 5 yd = _____________ in 6) 312 000 in = _____________ mi
There is a second method of converting units in the imperial system; to do so we need to use the comparison method.
1) 36 ft = ___________ yd 4) 42 in = _____________ ft
2) 2 mi = _____________ ft 5) 1200 ft = _____________ mi
3) 5 yd = _____________ in 6) 312 000 in = _____________ mi
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mile
yard
feet
inches
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mile
yard
feet
inches
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