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Year 3 · Multiplication

Multiplication properties

Adding and multiplying can be done in any order (commutative) and grouped any way (associative). Adding 0 or multiplying by 1 changes nothing.

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How to do it

  1. a + b = b + a and a × b = b × a.
  2. (a + b) + c = a + (b + c).
  3. a + 0 = a and a × 1 = a.

Worked example

7 + 5 = 5 + ?
Same numbers, swapped
7

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Watch out
Subtraction and division are not commutative.

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