Properties of addition and multiplication

✈️ Associative property:(j + k) + m = j + (k + m)
You can group the addends with brackets and get the same sum.

✈️ Commutative property: n + p = p + n
You can add numbers in any order and get the same sum.

Learn with an example

  • associative
  • commutative
  • (1 + 2) + 7 = 1 + (2 + 7)
  • This equation shows the associative property. The grouping of the addends is changed.

5 + 1 = 1 + 5

  • associative
  • commutative
  • 5 + 1 = 1 + 5
  • This equation shows the commutative property. The order of the addends is changed.

(7 + 5) + 9 = 7 + (5 + 9)

  • associative
  • commutative
  • (7 + 5) + 9 = 7 + (5 + 9)
  • This equation shows the associative property. The grouping of the addends is changed.

Let’s practice!🖊️