Decide whether the statement is an example of the commutative, associative, identity, inverse, or distributive property. $$ -8+(12+6)=(-8+12)+6 $$ The statement is an example of which of the following properties? A. Inverse B. Commutative C. Distributive D. Associative E. Identity

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We start with the equation:

$$
-8 + (12 + 6) = (-8 + 12) + 6
$$

In this equation, only the grouping of the numbers changes; the order of the numbers remains the same. This is an example of the **associative property** of addition, which states that when adding three or more numbers, the way in which the numbers are grouped does not change the sum. In general, the associative property is expressed as:

$$
(a + b) + c = a + (b + c)
$$

In our case, we have:

$$
a=-8, \quad b=12, \quad c=6
$$

Thus, the equation:

$$
-8 + (12 + 6) = (-8 + 12) + 6
$$

is directly applying the associative property.

The correct answer is:

D. Associative
The statement is an example of the associative property.

Decide whether the statement is an example of the commutative, associative, identity, inverse, or distributive property. \( -8+(12+6)=(-8+12)+6 \) The statement is an example of which of the following properties? A. Inverse B. Commutative C. Distributive D. Associative E. Identity

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