Converting compound measurements

Primary 3 Length, Mass and Volume study guide: the whole chapter, step by step

About this subtopic

The idea in brief. A compound measurement is the sum of whole larger units and the extra smaller units, using the correct unit relationship. Use 100 centimetres in a metre, but 1000 in the other three unit pairs. Keep small remainders small. In the lesson. Let's remember the four pairs of units. Today, we will change a measurement in two units into the smaller unit, and back again. Change the whole big units first: one hundred for metres, one thousand for the others. The extra small units stay as they are.

Lesson video, with the working

Converting compound measurements

4 min 43 s

The film teaches 3 questions in turn. Each question shows first; its working is written as the film explains it.

Watch on its own page

Today's question

A watermelon has a mass of 2 kg 45 g. What is its mass in grams?

  1. 1 kg = 1000 g
  2. 2 kg = 2000 g
  3. 2 kg 45 g = 2000 g + 45 g
  4. = 2045 g

Ans: 2045 g

Example 1 of 2

A skipping rope is 305 cm long. What is its length in metres and centimetres?

  1. 1 m = 100 cm
  2. 300 cm = 3 m
  3. 305 cm = 300 cm + 5 cm
  4. = 3 m 5 cm

Ans: 3 m 5 cm

Example 2 of 2

The path around a pond is 2600 m long. What is its length in kilometres and metres?

  1. 1 km = 1000 m
  2. 2000 m = 2 km
  3. 2600 m = 2000 m + 600 m
  4. = 2 km 600 m

Ans: 2 km 600 m

How to solve it
  1. Remember the pairs: 1 metre is 100 centimetres, and 1 kilometre, 1 kilogram and 1 litre are each 1000 of the smaller unit.
  2. To change to the smaller unit, change the whole big units first: 2 kilograms are 2000 grams.
  3. The small units stay as they are: 2000 plus 45 is 2045 grams.
  4. To change back to two units, find the whole big units: 300 centimetres make 3 metres.
  5. The centimetres left over stay as they are, so 305 centimetres is 3 metres 5 centimetres.

Change the whole big units first: one hundred for metres, one thousand for the others. The extra small units stay as they are.

Practice questions with worked solutions

Question 1 is free to try. The other 7 open in the free trial, each with its solution film.

Intermediate

Challenge

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7 more questions, each with its solution film.Answers checked, progress kept, wrong ones come back in revision. No card needed.

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Question 1 of 9 · Basic · free to tryExpress 4 m 37 cm in cm.Express 4 m 37 cm in cm.

Express 4 m 37 cm in cm.

cm

Show the working and the answer

Video solution · 1 min 19 s

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Working

  1. 4 m 37 cm = 400 cm + 37 cm
  2. = 437 cm
  3. Ans: 437 cm

Answer: 437 cm

For parents

How do you solve unit conversion questions in P3?

This page teaches converting a measurement in two units into the smaller unit, and back again, for the four P3 pairs: kilometres and metres, metres and centimetres, kilograms and grams, and litres and millilitres.

What your child learns here

This page teaches converting a measurement in two units into the smaller unit, and back again, for the four P3 pairs: kilometres and metres, metres and centimetres, kilograms and grams, and litres and millilitres. It follows the P3 outcome on converting measurements in compound units, with numbers kept easy to work with.

  • Recall the four relationships: 1 km = 1000 m, 1 m = 100 cm, 1 kg = 1000 g, and 1 litre = 1000 ml.
  • Change two units to the smaller unit: convert the whole big units, then add the extra small units.
  • Change the smaller unit to two units: take out the whole big units and leave the rest as small units.
  • Handle small leftovers with zeros, such as 4 kg 8 g written as 4008 g.
Does the answer make sense?

In the smaller unit, the big units show up as the front digits: 3 kg and some grams must come to three thousand and something grams. Going the other way, your child's leftover small part must be under one big unit, so less than 100 cm, 1000 m, 1000 g or 1000 ml.

How to practise these questions

The Basic questions practise converting compound measurements into the smaller unit. The Intermediate questions add converting the other way, from the smaller unit into two units. The Challenge questions include a small second part, under 100 g or 100 ml, so a 0 must hold a place. If converting stalls, view the solution film for that question and try once more later from Revision. A multiple-choice Basic question asks which measurement is equal to a length given in metres and centimetres, and its solution is written working with no film.

Questions parents ask

Which unit conversions does my P3 child need? Four pairs: kilometres and metres, metres and centimetres, kilograms and grams, and litres and millilitres. The Primary 3 syllabus asks for converting a measurement in compound units to the smaller unit, and back, with numbers that are easy to work with.

Why is it 100 for centimetres but 1000 for the other units? That is how the metric units are defined: 1 m is 100 cm, while 1 km is 1000 m, 1 kg is 1000 g and 1 litre is 1000 ml. Your child simply needs to remember which pair uses 100.

Does P3 unit conversion include decimals like 1.5 kg? No. The Primary 3 syllabus works with compound units such as 1 kg 500 g rather than decimals. Decimal measurements come later in the syllabus.