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Exam code:C300
Converting units
How do I convert units of lengths?
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For metric units, conversion can be done by simply multiplying or dividing by powers of 10
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You need to know the basic conversions for length
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1 cm = 10 mm
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1 m = 100 cm
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1 km = 1000 m
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You need to decide whether to multiply or divide by the conversion factor
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Ask, does the number of units increase or decrease?
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The number of mm is 10 times bigger than the number of cm so mm = cm × 10
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You can do the conversion in stages
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First convert kilometres into metres then metres into centimetres
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How do I convert units of mass?
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For metric units, conversion can be done by simply multiplying or dividing by powers of 10
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You need to know the basic conversions for mass
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1 g = 1000 mg
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1 kg = 1000 g
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1 tonne = 1000 kg
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How do I convert units of volume/capacity?
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For metric units, conversion can be done by simply multiplying or dividing by powers of 10
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You need to know the basic conversions for capacity
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1 litre = 100 cl = 1000 ml
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1 cl = 10 ml
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You must know the basic conversion between volume and capacity
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1 ml = 1 cm3
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1 litre = 1000 ml = 1000 cm3
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1 m3 = 1000 litres
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Worked Example
Convert
(a) 54 cm to mm
1 cm = 10 mm
54 cm = (54 × 10) mm = 540 mm
540 mm
(b) 12 300 cm to km
First convert from cm to m
100 cm = 1 m
12 300 cm = (12 300 ÷ 100) m = 123 m
Now convert from m to km
1000 m = 1 km
123 m = (123 ÷ 1000) km = 0.123 km
0.123 km
(c) 485 g to kg
1000 g = 1 kg
485 g = (485 ÷ 1000) kg
0.485 kg
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