__Associative Property__

The property that states that the way addends are grouped or factors are grouped
does not change the
sum or the
product

Examples:

sum
12 + (5 + 9) = (12 +
5) + 9

product
(9 x 8) x 3 =
9 x (8 x 3)

(3 + 4) + 2 = 9
3 + (4 + 2) = 9

Think:
"grouping."

Associative Property of
Addition

The property that states that the way addends are grouped does not change the
sum

Example:

(5 + 9) + 3 = 5 + (9 + 3)

14 + 3 = 5 + 12

17 = 17

Associative Property
of Multiplication

The property that states that the way factors are grouped does not change the
product

Example:

(2 x 3) x 4 = 2 x (3 x 4)

6 x 4 = 2 x 12

24 = 24

Changing the grouping of
the factors does not change the product.

(5 x 0) x 4 = 0 5 x
(0 x 4) = 0

Think:
"grouping."

Example

(2 x 3) x 1 = 2 x (3 x 1)

6 x 1 = 2 x 3

6
= 6