Associative Property Formula
We can add/multiply the numbers in an equation irrespective of the grouping of those numbers. This property is called the associative property formula. So, the associative formula exists in only addition and multiplication operations. Let us learn the associative property formula with a few solved examples.
What is the Associative Property Formula?
Suppose we have three numbers: a, b, and c. We will show two important associative property formulas: associative property of addition and associative property of multiplication.
Formula 1: The sum of three or more numbers remains the same irrespective of the way numbers are grouped.
(A + B) + C = A + (B + C)
Formula 2: The product of three or more numbers remains the same irrespective of the way numbers are grouped.
(A × B) × C = A × (B × C)
Let's take a quick look at a couple of examples to understand the associative property formula better.
Solved Examples Using Associative Property Formula

Example 1: If 3 × (6 × 4) = 72, then find (3 × 6) × 4 using associative property formula
Solution:
Since multiplication satisfies the associative property, (3 × 6) × 4 = 3 × (6 × 4) = 72

Example 2: Solve for x using associative property formula: 2 + (x + 9) = (2 + 5) + 9
Solution:
Since addition satisfies the associative property, (2 + 5) + 9 = 2 + (x + 9) = (2 + x) + 9. So, the value of x is 5.