Q:

# What Is an Example of the Associative Property of Addition?

A:

An example of the associative property of addition is (1 + 2) + 5 = 1 + (2 + 5). The associative property of addition states that the sum of any set of numbers is the same regardless of how the numbers are grouped together.

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The property applies to any group of at least three numbers. On the left side of the above example, the 1 and 2 are grouped together, while the 5 is separate. Solving that side involves adding the 1 and 2 for a total of 3, then adding that to the 5 for a total of 8. On the right side of the example, the same numbers are used, but the 2 and 5 are grouped together, while the 1 is separate. Solving for that side involves adding the 2 and 5 for a total of 7, then adding the 1 for a total of 8. As predicted by the associative property of addition, both sides are equal.

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