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Help at home · Maths

How to explain negative numbers to your child

Questions about temperatures, bank balances or number lines: ordering negative numbers, finding the difference between, say, −6°C and 4°C, or counting through zero.

The note

How schools teach it now

Taught with a number line, often an upright one like a thermometer. Children count on and back across zero. Rules such as 'two minuses make a plus' come later, at secondary school, so don't start with them.

5-minute kitchen-table activity

Draw a thermometer from −10 to 10 on a strip of paper. Ask: 'It's −3°C at night and warms up by 8 degrees. What is it now?' (5°C.) Then look up a cold city on the weather app and compare.

Worked example

At 6 am it was −4°C. By noon it was 7°C. How many degrees did the temperature rise?

  1. From −4 up to 0 is 4 degrees.
  2. From 0 up to 7 is 7 degrees.
  3. 4 + 7 = 11.

Answer: 11 degrees

Common mistakes to watch for

  • Answering 3 (7 − 4) by ignoring the minus sign.
  • Thinking −8 is bigger than −2 because 8 is bigger than 2.
  • Counting the starting number as a jump on the number line.

Encouragement

Try saying
“Let's jump to zero first, then on from there.”
Rather than
“Negatives are just hard, don't worry about them.”

Practise negative numbers with marked questions

Academy11+ marks every answer, shows how your child is doing in each topic and puts the right home-help note next to the ones they find hard.