Associative Property of Multiplication

The Associative property of multiplication states that altering the arrangement of brackets between the operators does not make any modification in the final result i.e, we can multiply Numbers in any order but it does not affect the final result.

a * (b * c) = (a * b) * c

The Associative Property of multiplication can be explained by examples:

Examples :

          2 * (3 * 4) = (2 * 3) * 4 = 24
          4 * (2 * 6) = (4 * 2) * 6 = 48
          1 * (6 * 3) = (1 * 6) * 3 = 18
          3 * (7 * 5) = (3 * 7) * 5 = 105
          2 * (5 * 8) = (2 * 5) * 8 = 80

We observe that in both the cases we get the same result for all the above examples.

This property of multiplication is called associative property of multiplication. According to the associative property of multiplication, the product of any three given numbers remain same, even if we change the arrangement of brackets between the operators. So, a * (b * c) = (a * b) * c where a, b and c are any numbers.