Commutative Property of Addition

This video explains the commutative property of addition. We demonstrate that when adding numbers up, it doesn’t matter what order you add them in, the sum will be the same.

For example, 6 + 12 gives the same answer as 12 + 6; both approaches produce an answer of 18. That is because addition is commutative! Addition doesn't care what order you add the numbers. Understanding that addition is commutative can help tackle mental math problems, and make addition problems of three numbers or more easier to tackle. For example, adding 97 + 43 + 3 is easiest as 97 + 3 + 43, since 97 + 3 is 100, so the problem becomes 100 + 3, which is 143.

Problems that illustrate the commutative property of addition can include:

Rewriting an equation

9 + 2 can be rewritten as 2 + 9

9 + 2 = 2 + 9 = 11

Finding a missing number

8 + _ + 1 = 2 + 1 + 8

The missing number is 2

Some terms used in this video while working with the commutative property of addition are:

Addends: the numbers being added

Sum: the result you get when you have added all the numbers

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