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Mathematics·Multiplication & Division·conceptual

Using inverse operations

Recognise and use relationships between operations including inverse operations; use these relationships to check answers and simplify calculations

Suggested ages 11–12

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Evidence of understanding

  • Use addition and subtraction as inverse operations to check and solve problems
  • Use multiplication and division as inverse operations to check and solve problems
  • Recognise that squaring and square-rooting are inverse operations

Assessment prompt

If Using inverse operations works out '252 ÷ 7 = 36', can they immediately use the inverse to check — '36 × 7 = 252' — without having to redo the division?

Standards alignment

KS3.Maths.Num.6GB · uk-nc-2013

Relationships Between Operations

The national curriculum in England: Key stages 1 and 2 framework document · Key Stage 3