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Primary - Stage 3 (Year 5 & 6) Stage 3 (Year 5 & 6) Length, Perimeter & Area

Convert between metric units of length - mm, cm, m

20 practice questions 0 video lessons Theory + worked examples
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Theory

There are 10 mm in a centimetre and 100 cm in a metre. To change to a smaller unit, multiply; to change to a larger unit, divide.

Length can be measured in millimetres (mm), centimetres (cm) or metres (m).

The units are linked: \(1\text{ cm} = 10\text{ mm}\), \(1\text{ m} = 100\text{ cm}\), and so \(1\text{ m} = 1000\text{ mm}\).

Changing to a smaller unit gives a bigger number, so multiply. Changing to a larger unit gives a smaller number, so divide.

The length-unit ladder: mm, cm, m Boxes for millimetres, centimetres and metres. Going to a larger unit divides (by 10 then 100); going to a smaller unit multiplies (by 100 then 10). larger unit: divide smaller unit: multiply mmcmm ÷10÷100 ×100×10
Multiply going towards mm, divide going towards m. The factor is \(10\) between mm and cm, and \(100\) between cm and m.

Use the right factor for each pair of units.

ChangeDo this
cm to mm\(\times 10\)
mm to cm\(\div 10\)
m to cm\(\times 100\)
cm to m\(\div 100\)

How to convert a length

  1. Decide whether the new unit is smaller or larger.
  2. Choose the factor: \(10\) between mm and cm, \(100\) between cm and m.
  3. Multiply for a smaller unit, or divide for a larger unit.
Example 1 — cm to mm
How many millimetres are in \(5\) cm?
Solution

Smaller unit, so multiply by \(10\): \(5 \times 10 = 50\).

The answer is 50 mm.

Example 2 — mm to cm
What is \(35\) mm in centimetres?
Solution

Larger unit, so divide by \(10\): \(35 \div 10 = 3.5\).

The answer is 3.5 cm.

Example 3 — m to mm
What is \(0.6\) m in millimetres?
Solution

Smaller unit, and \(1\text{ m} = 1000\text{ mm}\): \(0.6 \times 1000 = 600\).

The answer is 600 mm.

Example 4 — m to cm
A rope is \(2\) m long. How many centimetres is that?
Solution

Smaller unit, so multiply by \(100\): \(2 \times 100 = 200\).

The answer is 200 cm.

Common pitfalls

cm to mm is ×10, not ×100. The factor between centimetres and millimetres is \(10\); the \(100\) is between metres and centimetres.
Multiply or divide, don’t guess. Smaller unit means multiply; larger unit means divide. Check whether the number should grow or shrink.
Keep the unit with the number. Write \(50\) mm, not just \(50\), so the answer is not misread.

Frequently asked questions

How many millimetres are in a centimetre?

There are \(10\) millimetres in \(1\) centimetre.

How do you change centimetres to millimetres?

Multiply by \(10\), because millimetres are the smaller unit. For example \(5\text{ cm} = 50\text{ mm}\).

How do you change millimetres to centimetres?

Divide by \(10\), because centimetres are the larger unit. For example \(35\text{ mm} = 3.5\text{ cm}\).

How many millimetres are in a metre?

There are \(1000\) millimetres in \(1\) metre, because \(10 \times 100 = 1000\).