Converting and Calculating Units of Length

Key concept

Units of length measure distance using mm, cm, m, and km. To convert, multiply for a smaller unit or divide for a larger one, so 47 m = 4700 cm. To add or subtract lengths, first convert them to the same unit.

Converting and Calculating Units of Length - introduction visual

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Converting and Calculating Units of Length poster

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Flashcards

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Conversion chart for metric units of length showing millimetres, centimetres, metres, and kilometres with examples.Converting 47 metres to 4700 centimetres and 5020 metres to 5.020 kilometres using unit conversion rules.Adding and subtracting units of length by standardising to one unit first, showing 1.75 m + 40 cm = 2.15 m and 1.75 m - 40 cm = 1.35 m as examples.

What are Metric Units of Length?

  • Length is measured in millimetres (mm), centimetres (cm), metres (m), and kilometres (km)
  • The conversion rates you have to know: , , and

How to Convert Units of Length?

  • Converting to a smaller unit means multiplying; converting to a larger unit means dividing.
  • For example, (multiply by 100) and (divide by 1000).

How to Calculate with Different Units?

  • Before adding or subtracting, convert all values to the same unit.
  • Choose one unit (e.g. all cm or all m) and do not mix units.

Practice Questions

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Q1Easy

Convert 2 metres to centimetres.

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Interactive Activity

Visualise length units and convert between them

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Students Also Ask

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The metric units of length, from smallest to largest, are the millimetre, the centimetre, the metre, and the kilometre. A millimetre is one tenth of a centimetre, and a metre is the standard unit. A kilometre is the largest, used for long distances such as those between cities.

First recall how the two units relate, such as 1 metre equalling 100 centimetres. If you are converting to a smaller unit, you multiply by 10, 100, or 1000. If you are converting to a larger unit, you divide by that same factor instead.

One metre equals 100 centimetres. Because the centimetre is smaller than the metre, you multiply by 100 to convert metres into centimetres. For example, 47 metres becomes 47 × 100, which gives 4,700 centimetres. To go back from centimetres to metres, you divide by 100 instead.

One kilometre equals 1000 metres, so to convert metres into kilometres you divide by 1000. For example, 5020 metres divided by 1000 gives 5.020 kilometres, which you can also write as 5.02 kilometres. You divide because the kilometre is the larger unit.

Standardise both measurements to one unit first, then add. For example, take 1.75 metres and 40 centimetres. Convert the 40 centimetres to 0.4 metres, then add to reach 2.15 metres. You can align to either the larger or the smaller unit, whichever you find easier.

In the metric system, "kilo" indicates multiplication by 1000, so one kilometre equals 1000 metres. This is why the kilometre is the largest unit of length covered here. We use it to describe longer distances, such as the distance between two cities.

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