The associative property states that, if a, b and c are any three integers, then,

  • (a + b) + c = a + (b + c)
  • (a x b) x c = a x (b x c)
In other words, the addition of integers is associative, no matter how you group the numbers when you add them. That is, rearranging the parentheses for integers in such an expression will not change its final value.

The multiplication of integers is associative, no matter how you group the numbers when you multiply them. That is, rearranging the parentheses for integers in such an expression will not change its final value.

Associative property states that the sum or product of three numbers remains the same, even if we change the order of grouping the numbers. Associative property is true for both addition and multiplication. Subtraction and Division are not associative.

Examples of Associative Property

  • (6 + 4) + 8 = 6 + (4 + 8) = 18
  • (6 x 4) x 8 = 6 x (4 x 8) = 192

In the above examples, the sum and the product doesn't change even if we change the order of grouping the numbers.