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Writing Number Sentences

Write simple numerical expressions that record calculations with numbers, and interpret numerical expressions without evaluating them (e.g. recognise that 3 × (18932 + 921) is three times as large as 18932 + 921)

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What a learner can do afterwards

  • Write an expression for 'add 8 and 7, then multiply by 2' using parentheses
  • Explain what 4 × (365 − 12) represents without computing it
  • Compare two expressions and determine which is larger without evaluating

The lesson

A number sentence turns words into math symbols. It uses numbers, operation signs like + and ×, and sometimes brackets to show what to work out first.

Try it together

Marcus hears: 'Add 8 and 7, then multiply by 2.' He writes it as (8 + 7) × 2. The brackets keep 8 + 7 together, so that part happens first.

(8+7)×2

You can also read a number sentence without solving it. Look at 4 × (365 − 12). The × 4 out front tells you the whole bracket amount is repeated four times, so the answer is four times as large as 365 − 12.

Tap to fill the grid, one at a time: 3 rows of 4.
The number out front tells you how many times the group repeats.
Good to know

To compare two number sentences without solving them, check if they repeat the same group a different number of times, or if the group itself is a different size.

A number sentence records a calculation in symbols, and you can often read what it means without working out the answer.

Watch it

Where it sits

Then practise

8 questions wait behind this lesson, each with its answer explained. Every answer feeds the sky: stars light as they are learned, and dim when it is time to come back.

Writing Number Sentences · Mathematics, ages 10 to 11 · LightMySky