This property states that when three or more numbers are added (or multiplied), the sum (or the product) is the same regardless of the grouping of the addends (or the multiplicands).
Grouping means the use of parentheses or brackets to group numbers.
Associative property involves 3 or more numbers.
The numbers that are grouped within a parenthesis or bracket become one unit.
Associative property can only be used with addition and multiplication and not with subtraction or division.
Example of Associative Property for Addition
Examples of Associative Property for Multiplication:
The above examples indicate that changing the grouping doesn't make any changes to the answer.
The associative property is helpful while adding or multiplying multiple numbers. By grouping, we can create smaller components to solve. It makes the calculations of addition or multiplication of multiple numbers easier and faster.
Example Addition:
17 + 5 + 3 = (17 + 3) + 5
= 20 + 5
= 25
Example Multiplication:
3 × 4 × 25 = (25 × 4) × 3
= 100 × 3
= 300
Example Subtraction:
10 – (5 – 2) = 10  3 = 7
(10 – 5) – 2 = 5 – 2 = 3
So, 10 – (5 – 2) ≠ (10 – 5) – 2
Example Division:
(24 ÷ 4) ÷ 2 = 6 ÷ 2 = 3
24 ÷ (4 ÷ 2) = 24 ÷ 2 = 12
Fun Facts
