- For metric units, conversion can be done by simply multiplying or dividing by powers of 10
- You need to know the basic conversions
- 1 cm = 10 mm
- 1 m = 100 cm
- 1 km = 1000 m

- To decide whether to multiply or divide you need to ask yourselves does the number of units increase or decrease
- e.g. The number of mm is 10 times
**bigger than**the number of cm so mm = cm × 10

- e.g. The number of mm is 10 times
- You can do the conversion in stages
- First convert kilometres into metres then metres into centimetres

- If you are given an imperial conversion (such as miles to kilometres) then you can use ratios to help with the conversions
- There are 5 miles in 8 kilometres so to find how many miles are in 13 kilometres you would solve

- For metric units, conversion can be done by simply multiplying or dividing by powers of 10
- You need to know the basic conversions
- 1 g = 1000 mg
- 1 kg = 1000 g
- 1 tonne = 1000 kg
- If you are given an imperial conversion (such as pounds to kilograms) then you can use ratios to help with the conversions
- e.g. There are 2.2 pounds in 1 kilogram so to find how many kilograms are in 10 pounds you would solve

- For metric units, conversion can be done by simply multiplying or dividing by powers of 10
- You need to know the basic conversions
- 1 l = 1000 ml
- 1 cl = 10 ml
- 1 ml = 1 cm
^{3} - If you are given an imperial conversion (such as pints to litres) then you can use ratios to help with the conversions
- e.g. There are 1.75 pints in 1 litre so to find how many litres are in 5 pints you would solve

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

450 g = (450 ÷ 1000) kg

0.45 kg

- Converting squared units (usually used for areas) is slightly trickier
- You need to remember to square the conversion rates
- This is because area is 2D
- The fact the units have a “squared” on them will help you remember

- You need to be able to use the basic conversions
- 1 cm
^{2}= 10^{2}mm^{2}= 100 mm^{2} - 1 m
^{2}= 100^{2}cm^{2 }= 10 000 cm^{2} - 1 km
^{2}= 1000^{2}m^{2 }= 1 000 000 m^{2}

- 1 cm
- There are also less common conversions
- 1 hectare (ha) = 10 000 m
^{2}

- 1 hectare (ha) = 10 000 m
- If you are given an imperial conversion (such as miles to kilometres) for lengths:
- Write the conversion as a ratio
- e.g. Miles to kilometres is 5 : 8

- Square the numbers to get the ratio for the conversion of the units for area
- e.g. Miles
^{2}to kilometres^{2}is 25 : 64

- e.g. Miles

- Write the conversion as a ratio

- You need to cube the normal conversion rates
- This is because volume is 3D
- The fact the units have a “cubed” on them will help you remember
- You need to be able to use the basic conversions
- 1 cm
^{3}_{}= 10^{3 }mm^{3}= 1000 mm^{3} - 1 m
^{3}_{}= 100^{3 }cm^{3}= 1 000 000 cm^{3} - 1 km
^{3}_{}= 1000^{3 }m^{3}= 1 000 000 000 m^{3} - If you are given an imperial conversion (such as miles to kilometres) for lengths:
- Write the conversion as a ratio
- e.g. Miles to kilometres is 5 : 8
- Cube the numbers to get the ratio for the conversion of the units for volume
- e.g. Miles
^{3}to kilometres^{3}is 125 : 512

Convert

a)

8254 mm ^{2 }to cm ^{2},

10 mm = 1 cm

100 mm ^{2 }= 1 cm ^{2}

8254 mm ^{2} = (8254 ÷ 100) cm ^{2} = 82.54 cm ^{2}

82.54 cm ^{2}

b)

2.54 m ^{3} to cm ^{3}.

1 m = 100 cm

1 m ^{3} = 1 000 000 cm ^{3}

2.54 m^{3}

= (2.54 × 1 000 000) cm^{3} = 2 540 000 cm ^{3}

2 540 000 cm ^{3}

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