**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__

(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.

(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__