Converting metric units

Part of MathsLength and distanceYear 5Year 5

How do you convert metric units?

Units from the metric system can be used to describe the mass, volume or length of an object.

Mass is measured in grams (g) and kilograms (kg).

Volume is measured in millilitres (ml) and litres (l).

Length is measured in millimetres (mm), centimetres (cm), metres (m) and kilometres (km).

To convert metric units, you need to remember these facts:

Table with the headings length, mass and volume. The length column: 10 millimetres equals 1 centimetre, 100 centimetres equals 1 metre, 1,000 metres equals 1 kilometre. The mass column: 1,000 grams equals 1 kilogram. Volume column:1,000 millilitres equals 1 litre.
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Quiz: Converting metric units

Test out your knowledge of converting metric units with this quiz, then read on to complete the page.

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Converting grams and kilograms

Grams and kilograms are metric units which are used when measuring the mass of objects.

Grams are usually used for lightweight objects, while kilograms are used for heavier objects.

The word ‘kilo’ means 'one thousand'. One kilogram is a thousand grams.

1kg = 1,000g

Here are some objects that are weighed in grams and kilograms.

Image gallerySkip image gallerySlide 1 of 3, A paper clip labelled 1 gram.,

A double number line is a useful tool to use when you want to convert between grams and kilograms.

A number line showing kilograms and grams. It goes from 0 to 10 kilograms in steps of 1g. Underneath the matching steps for grams go up in thousands.1g is shown to be equal to 1,000 grams and so on.

For example on the number line you can see that:

5kg = 5,000g

To convert from grams to kilograms, you divide by 1,000.

To convert from kilograms to grams, you do the opposite - you multiply by 1,000.

Diagram showing that to convert from grams to kilograms you need to multiply divide by 1000. To convert between kilograms and grams you need to multiply by 1000

You may also find a bar model helpful when converting grams and kilograms.

This bar model shows how many kilograms or grams are equivalent to 5 kilograms.

A bar model. The top bar shows 5 kilograms. Underneath it is the same width bar split into 5 equal sections and each section is marked as 1 kilogram. Below that another bar of the same width split into 5 equal sections, each marked 1,000 grams.
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Converting millilitres and litres

Millilitres and litres are metric units which are used when measuring volume.

‘Milli’ means ‘one thousandth’. So, a thousand millilitres is 1 litre.

1,000ml = 1 litre

Take a look at these objects and the volume of liquid they might hold.

Image gallerySkip image gallerySlide 1 of 3, A teaspoon with the label 1 teaspoon equals 5 millilitres. ,

A double number line is useful when you want to convert millilitres and litres.

A number line showing litres and millilitres. Litres goes up in ones from 0 to 10 litres. Millilitre numbers are written underneath in matching steps on the number line going from 0 millilitre to 10000 millilitres.

To convert from millilitres to litres, you divide by 1,000.

To convert from litres to millilitres, you do the opposite, you multiply by 1,000.

A diagram with an arrow showing to convert from millilitres to litres you divide by 1000. And an arrow showing to convert from litres to millilitres you multiply by 1000

You may also find a bar model useful when converting millilitres and litres.

This bar model shows how many litres or millilitres are equivalent to 5 litres.

A bar model. The top bar shows 5 litres. Underneath it is the same width bar split into 5 equal sections and each section is marked as 1 litre. Below that another bar of the same width split into 5 equal sections, each marked 1,000 millilitres.
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Converting millimetres, centimetres, metres and kilometres

When converting millimetres, centimetres, metres and kilometres you need to remember:

10mm = 1cm

100cm = 1m

1,000m = 1km

You will also need to use your knowledge of decimal places when converting measurements of length.

To convert millimetres and centimetres you divide by 100.

To convert centimetres to millimetres you multiply by 1000.

On the top half of the image the word 'Millimetres' is written with an arrow pointing to the right where the word 'Centimetres' is written. Above this arrow ÷ 10 is written. On the bottom half of the image the word 'Centimetres' is written with an arrow pointing to the right where the word 'Millimetres' is written. Above this arrow × 10 is written.

Take a look at the line being measured by this ruler.

A ruler showing centimetres from 0 to 10 with millimetre intervals marked. A line is drawn above the ruler from the location of 0 to the location of 5.5cm.

If you wanted to measure this line, you could say it is 5\(\frac{1}{2}\)cm.

Using decimals, you could say it is 5.5cm.

You could also say it is:

5cm + 5mm

If you converted the centimetres into millimetres:

5cm × 10 = 50mm

Then add the extra 5mm.

50mm + 5mm = 55mm

Therefore, 5.5cm is the same as 55mm.

To convert from centimetres to metres, you divide by 100.

To convert from metres to centimetres, you multiply by 100.

Diagram with arrow showing to convert centimetres to metres you divide by 100. And arrow showing to convert metres to centimetres you multiply by 100

To convert metres to kilometres you divide by 1000.

To convert kilometre to metres you multiply by 1000.

Diagram with arrow showing to convert metres to kilometres you divide by 1000. And arrow showing to convert kilometres to metres you multiply by 1000

You may also find a bar model useful when converting metres, centimetres and millimetres.

This bar model shows how many millimetres, centimetres, metres are equivalent to 5 kilometres.

A bar model. The top bar shows 5 metres. Underneath it is the same width bar split into 5 equal sections and each section is marked as 1 metre. Below that another bar of the same width split into 5 equal sections, each marked 100 centimetres. Below that another bar of the same width split into 5 equal sections, each marked 1000 millimetres.
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Example 1

A boy is thinking while looking at a bag of flour weighing 2kg next to a weighing scale.

Patrick needs 1.7 kilograms of flour for a recipe but his scales show the mass in grams.

How many grams of flour does he need?

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Example 2

A measuring jug filled with liquid up to the 1,400 millilitres mark. The jug has measurements marked in millilitres.

What is 1,400 millilitres in litres?

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Example 3

A table showing two people's names and the distances they jumped. Patrick jumped 1.5 metres, and Maria jumped 170 centimetres.

Patrick and Maria had a long jump competition, but they are not sure who won.

Look at the table and convert one of the distances to help you work out the answer.

Who was the winner?

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Play Guardians: Defenders of Mathematica to get ready for SATs. game

In this game, use the times tables and more maths skills to defeat monsters and reclaim the Kingdom.

Play Guardians: Defenders of Mathematica to get ready for SATs.
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