﻿ Definition and Examples of Associative Property | Define Associative Property - Algebra - Free Math Dictionary Online

# Associative Property

## Definition of Associative Property

Associative Property of Addition The problem (3 + 6) + 8 = 3 + (6 + 8) demonstrates the associative property of addition.
Observe that the addends are the same on either side of the equal sign: 3 plus 6 plus 8

The associative property of addition says that when we add more than two numbers the grouping of the addends does not change the sum.
In the example above, we can easily observe that:
(3 + 6) + 8 = 3 + (6 + 8)
9 + 8 = 3 + 14
17 = 17

Notice that the SUM is the same no matter what way you group the addends. In general, the associative property of addition can be written as:
(a + b) + c = a + (b + c)

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

Associative Property of Multiplication
The problem (2 x 4) x 3 = 2 x(4 x 3) demonstrates the associative property of multiplication. Observe that the factors are the same on either side of the equal sign:
2 times 4 times 3

### Video Examples: Associative Property

The associative property of multiplication says that when we multiply more than two numbers the grouping of the factors does not change the product.
In the example above, we can easily observe that:
(2 x 4) x 3 = 2 x (4 x 3)
8 x 3 = 2 x 12
24 = 24
Notice that the PRODUCT is the same no matter what way you group the factors. In general, the associative property of multiplication can be written as: (a x b) x c = a x (b x c)

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