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In order to access this I need to be confident with:

Multiplying and dividing by powers of 10

Decimals Place valueThis topic is relevant for:

Here we will learn about converting metric units, including metric units of length, metric units of mass and metric units of capacity (volume).

There are also converting metric units* *worksheets based on Edexcel, AQA and OCR exam questions, along with further guidance on where to go next if you’re still stuck.

**Converting metric units** is being able to convert between different metric units of length, mass or volume.

To do this we need to know what the metric units are and their conversion factors.

We can use prefixes to make these metric units bigger and smaller.

The main ones used are kilo, centi and milli:

The SI unit (international system of units) of length is the metre (m) .

For length we mostly use kilometres (km) , metres (m) , centimetres (cm) and millimetres (mm) .

1 \ km=1000 \ m 1 \ m= 100 \ cm 1 \ m= 1000 \ mm 1 \ cm= 10 \ mmE.g.

Covert 7 \ m to centimetres

7 \times 100=700So, 7 \ m=700 \ cm

The metric system for mass is based around grams (g) .

For mass we mostly use tonnes (t) , kilograms (kg) , and grams (g) .

1 \ tonne=1000 \ kg 1 \ kg= 1000 \ gE.g.

Covert 4 \ kg to centimto grams

4 \times 1000=4000So, 4 \ kg=4000 \ g

The SI unit The metric system for capacity is based on litres (l) .

For volume we mostly use litres (l) , centilites (cl) , and millilitres (ml) .

1 \ litre=1000 \ ml 1 \ litre= 100 \ cl 1 \ cl= 10 \ mlWe also need to be aware that:

1 \ litre=1000 \ cm^3E.g.

Covert 6000 \ ml to litres

6000 \div 1000 = 6So, 6000 \ ml=6 \ l

In order to convert metric units:

**Find the unit conversion.****Multiply or divide.****Write the answer.**

Get your free converting metric units worksheet of 20+ questions and answers. Includes reasoning and applied questions.

DOWNLOAD FREEGet your free converting metric units worksheet of 20+ questions and answers. Includes reasoning and applied questions.

DOWNLOAD FREE**Converting metric units** is part of our series of lessons to support revision on **units of measurement**. You may find it helpful to start with the main units of measurement lesson for a summary of what to expect, or use the step by step guides below for further detail on individual topics. Other lessons in this series include:

Convert 3.2 \ m to cm

**Find the unit conversion.**

2**Multiply or divide.**

As we are going from larger units to smaller units we multiply.

3.2 \times 100=3203**Write the answer.**

Convert 780 \ mm to cm

**Find the unit conversion**.

1 \ cm=10 \ mm

**Multiply or divide**.

As we are going from smaller units to larger units we divide.

780 \div 10=78

**Write the answer.**

780 \ mm=78 \ cm

Convert 12.5 \ kg to g

**Find the unit conversion**.

1 \ kg=1000 \ g

**Multiply or divide**.

As we are going from larger units to smaller units we multiply.

12.5 \times 1000=12 \ 500

**Write the answer.**

12.5 \ kg=12 \ 500 \ g

Convert 3800 \ g to kg

**Find the unit conversion**.

1 \ kg=1000 \ g

**Multiply or divide**.

As we are going from smaller units to larger units we divide.

3800\div 1000=3.8

**Write the answer.**

3800 \ g=3.8 \ kg

Convert 7.1 \ l to ml

**Find the unit conversion**.

1 \ l=1000 \ ml

**Multiply or divide**.

As we are going from larger units to smaller units we multiply.

7.1 \times 1000=7100

**Write the answer.**

7.1 \ l=7100 \ ml

Convert 750 \ ml to l

**Find the unit conversion**.

1 \ l=1000 \ ml

**Multiply or divide**.

As we are going from smaller units to larger units we divide.

750 \div 1000=0.75

**Write the answer.**

750 \ ml=0.75 \ l

Convert 6.8 \ l to cm^3

**Find the unit conversion**.

1 \ l=1000 \ cm^3

**Multiply or divide**.

As we are going from larger units to smaller units we multiply.

6.8 \times 1000=6800

**Write the answer.**

6.8 \ l=6800 \ cm^3

**Multiply or divide?**

Remember:

If you are going from larger units to smaller units – **multiply**

If you are going from smaller units to larger units – **divide**

1. Convert: 390 \ cm to m

39 \ m

3.9 \ m

390 \ m

0.39 \ m

Converting centimetres to metres we divide by 100 .

390\div 100=3.9 \ m

2. Convert: 57 \ cm to mm

5 \ 700 \ mm

5.7 \ mm

570 \ mm

57 \ 000 \ mm

Converting centimetres to millimetres we multiply by 10 .

57\times 10=570 \ cm

3. Convert: 81 \ 000 \ g to kg

810 \ kg

81 \ kg

8.1 \ kg

8100 \ kg

Converting grams to kilograms we divide by 1000 .

81\ 000\div 1000=81 \ kg

4. Convert: 630 \ kg to tonnes

6300 \ tonnes

6.3 \ tonnes

63 \ tonnes

0.63 \ tonnes

Converting kilograms to tonnes we divide by 1000 .

630\div 1000=0.63 \ tonnes

5. Convert: 4.8 \ l to ml

4800 \ ml

480 \ ml

48 \ ml

48 \ 000 \ ml

Converting litres to millilitres we multiply by 1000 .

4.8\times 1000=4800 \ ml

6. Convert: 560 \ ml to l

56 \ l

0.56 \ l

5.6 \ l

0.056 \ l

Converting millilitres to litres we divide by 1000 .

560\div 1000=0.56 \ l

1. Write 376 \ cm in metres.

**(1 mark)**

Show answer

376\div 100=3.76

**(1)**

2. Here is a signpost

How far apart are the Town Centre and the Park?

Give your answer in kilometres.

**(3 marks)**

Show answer

650\div 1000 = 0.65

Converting distance to km

**(1)**

3.5+0.65

Adding the two distances

**(1)**

4.15 \ km

**(1)**

3. A bottle contains 1.75 litres of lemonade.

A can contains 330 \ ml of lemonade.

Phil has 2 bottles of lemonade and 6 cans of lemonade.

How much lemonade does he have in total?

Give your answer in millilitres.

**(3 marks)**

Show answer

1.75\times 1000=1750

Converting capacity to millilitres

**(1)**

2\times 1750+6\times 330

For finding the total

**(1)**

5480 \ ml

**(1)**

4. 4 tins of soup have a mass of 1.8kg.

3 tins of soup and 2 packets of soup have a mass of 1420 \ g.

Find the mass of 7 tins of soup and 5 packets of soup.

Give your answer in kilograms.

**(5 marks)**

Show answer

1.8\div4=0.45 \ kg

Finding the mass of one tin

**(1)**

1420\div 1000=1.42 \ kg

Converting mass to kg

**(1)**

(1.42-3\times 0.45)\div 2=0.035

**(1)**

7\times 0.45+5\times 0.035

**(1)**

3.325 \ kg

**(1)**

You have now learned how to:

- Convert metric units of length
- Convert metric units of mass
- Convert metric units of capacity (volume)

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