Name the property the equation illustrates.

–5 + (8 + 10) = (–5 + 8) + 10

Associative

This property is known as the associative property of addition.

The property that the equation illustrates is the associative property of addition.

To identify this property, we need to understand what the associative property of addition is. According to this property, you can regroup the numbers being added without changing the sum. In other words, if you are adding three or more numbers, you can add them in any order you want.

In the given equation, we can see that we have three numbers being added together: -5, 8, and 10. The left-hand side of the equation shows that we first add (8 + 10), and then add the result to -5. On the right-hand side of the equation, we first add -5 and 8, and then add the result to 10.

Applying the associative property of addition, we can regroup the numbers on the left-hand side of the equation.

(-5 + (8 + 10)) = ((-5 + 8) + 10)

By rearranging the grouping of the numbers being added, we can see that both sides of the equation are equal, illustrating the associative property of addition.

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