Associative Property

Definition of Associative Property

  • Associative property states that the change in grouping of three or more addends or factors does not change their sum or product.

More about Associative Property

  • Associative property holds good for both addition and multiplication, but not for subtraction and division.

                                          

Examples of Associative Property

  • Addition

(2 + 3) + 5 = 2 + (3 + 5)

Whether you add 2 & 3 first or 3 & 5 first does not matter as you get the the same sum (10) both ways.

  • Multiplication

(4 . 5) . 10 = 4 . (5 . 10)

Whether you multiply 4 & 5 first or 5 & 10 first does not matter as you get the the same product (200) both ways.

Solved Example on Associative Property

Which of the following is the same as 'x + (y + z)'?

Choices:

A. (x + y) + z

B. (x + y) × z

C. (x × y) + z

D. (x × y) × z

Correct Answer: A

Solution:

Step 1: (x + y) + z is the same as x + (y + z). [Apply associative propery of addition.]

Related Terms for Associative Property

  • Associative Property of Addition
  • Associative Property of Multiplication
  • Addend
  • Sum
  • Factor
  • Product
 

Additional Links for Associative Property