Inverse Operations

Maths: Year 3 & 4 National Curriculum, topic 1.2.4

Inverse Operations

Inverse means the opposite. Inverse operations are useful because they help us to check our answers using number relationships.

Operations

Operations

  • In maths, an operation is what you do to solve a calculation (add, subtract, multiply or divide).
  • Each operation has an inverse.
  • Bar models can help us to see number relationships and inverse operations.
Addition and subtraction

Addition and subtraction

  • If we have 4 and add 3, we get 7.
  • 4 + 3 = 7
  • If we have 7 and subtract 3, we get 4.
  • 7 - 3 = 4
  • So subtracting 3 is the inverse operation of adding 3, as it takes us back to 4.
Multiplication and division

Multiplication and division

  • If we have 5 and multiply it by 3, we get 15.
  • 3 x 5 = 15
  • If we have 15 and divide it by 3, we get 5.
  • 15 รท 3 = 5
  • So dividing by 3 is the inverse operation of multiplying by 3, as it takes us back to 5.

Test yourself on Inverse Operations

  • What is the inverse operation of addition?

  • What is the inverse operation of multiplication?

  • What is the inverse operation of division?

  • What is the inverse operation of subtraction?

Practise this topic for free