__Commutative Property__

**Think of the
commutative property this way: Many people commute to work. They get up at home
in the morning, dress, eat breakfast, brush their teeth, then drive or take the
train or a bus to work. In other words, they change places.
In the afternoon they change places again and drive or ride home. So we call
them commuters. The commutative property means " to change places." **

**The commutative
property means that
the numbers change places.**

**Watch how that works
with numbers. We know that
2 + 3 = 5 and 3 + 2 = 5.
So 2 and 3 can change places in an
addition
problem without changing the answer.
The same is true in
multiplication.
4 x 5 = 20 and 5 x 4 = 20
So remember: The commutative property means that
the numbers change places.**

**Commutative Property
of Addition **

The commutative property of addition says that numbers can be added in any
order. You can remember
the commutative property by thinking of the numbers "commuting," or changing
places. The example below shows

us that -5 + 3 is the same as 3+ (-5).

-5 + 3 = 3 + (-5)

**Commutative Property
of Multiplication**

The Commutative Property of Multiplication can be used when the order of factors
are changed. This tells us that the answer will not change. In the equation 3 x
6 = 6 x 3 for example, the order of the factors does not affect the answer.

(3 x 6= 18) (6 x 3= 18)