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.
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)
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)