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Watch: Converting measures

Scales

Converting measures can be very handy.

If a recipe asked you to add 0.2 kg of butter, but your scales only measured in grams, you would have to quickly convert the measure in your head to weigh the correct amount.

Scales

This video gives brief introduction to understanding metric measurement.

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What are kilograms and kilometres?

Ancient greece

'Kilo' comes from the Ancient Greek word for 'thousand' (chilioi).

So kilometre actually means 'thousand metres' and kilograms means 'thousand grams'.

  • 1 km = 1000 m
  • 1 kg = 1000 g
Ancient greece
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Example 1

What would 0.4 kg be in grams?

Method 1

1 kg divide into 100g

This bar model shows how 1 kg can be split into tenths. Each tenth is worth 100 g.

0.4 is the same as four tenths (\( \frac{4}{10}\)).

By looking at the bar model, four lots of 100 g is 400 g.

0.4 kg = 400 g

Method 2

Another way you could work out the answer is by multiplying by 1000 to convert 0.4 kg into grams.

0.4 kg x 1000 = 400 g

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Example 2

What is 2500 m in kilometres?

Method 1

3 km divided into 500 m

The bar model shows that each kilometre is made up of two 500 metres.

There are five lots of 500 m in 2500 m, which is the same as \( 2 \frac{1}{2}\) km or 2.5 km.

2500 m = 2.5 km

Method 2

You could use your knowledge of kilo meaning '1000' to divide 2500 m by 1000 to turn it into kilometres.

2500 m 梅 1000 = 2.5 km

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What are millimetres and millilitres?

Did you know?

In Maths, 'milli' means 'one thousandth'.

So 'millimetres' means 'one thousandth of a metre' and 'millilitre' means 'one thousandth of a litre.

  • 1000 mm = 1 m
  • 1000 ml = 1 l
Did you know?
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Example 1

What is 4000 mm in metres?

Method 1

6 m divided into 1000 mm

The bar model shows that each metre is the same as 1000 mm.

So 4000 mm is the same as 4 metres.

Method 2:

You could divide 4000 mm by 1000 to find the conversion to metres.

4000 mm 梅 1000 = 4 m

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Example 2

What is \( \frac{8}{10}\) of a metre?

Method 1

1 m divided into 100 mm

This bar model shows how 1 m can be split into tenths. Each tenth is worth 100 mm.

\( \frac{8}{10}\) is the same as 800 mm.

Method 2

You could use your knowledge of finding fractions to find the answer - divide by the bottom and times by the top.

Use the conversion 1 m = 1000 mm

1000 mm 梅 10 = 100 mm

100 mm x 8 = 800 mm

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Activities

Quiz 1

Can you complete this metric measurements quiz?

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Quiz 2

Try your hand at this quiz on converting metric measurements.

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NEW! Play Guardians: Defenders of Mathematica - the Halloween update
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More on Length and distance

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