Converting between units

The table shows some of the most common units and their equivalents. Make sure you know these conversions.

Converting measurements
Length {1}~{km} = {1,000}~{m} {1}~{m} = {100}~{cm} {1}~{cm} = {10}~{mm}
Weight {1~tonne} = {1,000}~{kg} {1}~{kg} = {1,000}~{g} {1}~{g} = {1,000}~{mg}
Capacity {1}~{l} = {100}~{cl} {1}~{cl} = {10}~{ml} {1}~{l} = {1,000}~{ml}

Converting larger units to smaller units

To convert a larger unit to a smaller unit (eg {m} to {cm}), first check the number of smaller units needed to make {1} larger unit. Then, multiply that number by the number of larger units.

Converting smaller units to larger units

To convert a smaller unit to a larger unit (eg {cm} to {m}), divide it by the number of smaller units which are needed to make {1} larger unit.

curriculum-key-fact
To convert from a larger unit to a smaller one, multiply. To convert from a smaller unit to a larger one, divide.

Example

1~m = 100~cm

So, to convert from {m} to {cm} multiply by 100, and to convert from {cm} to {m} divide by 100.

For example:

3.2~m = 320~cm~(3.2 \times 100 = 320)

400~cm = 4~m~(400 \div 100 = 4)

Question

Convert the following to the units given in brackets:

a) 5,120~g~(kg)

b) 15~cl~(ml)

c) 245~mm~(m)

a) 5.12~kg

Remember that 1~kg = 1,000~g.

To convert from {g} to {kg}, divide by 1,000.

b) 150~ml

Remember that 1~cl = 10~ml.

To convert from {cl} to {ml}, multiply by 10.

c) 0.245~m

Remember that 1~m = 1,000~mm.

To convert from {mm} to {m}, divide by 1,000.