Problem

State the name of the property illustrated.
\[
9+(6+7)=(9+6)+7
\]
Choose the correct answer below.
Both Associative and Commutative Properties of Addition
Distributive Property
Associative Property of Addition
Commutative Property of Addition
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Answer

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Answer

The property illustrated is the \(\boxed{\text{Associative Property of Addition}}\).

Steps

Step 1 :The given equation is demonstrating the property that changing the grouping of the numbers does not change the sum. This is known as the Associative Property of Addition.

Step 2 :The Commutative Property of Addition would involve changing the order of the numbers, not the grouping, and the Distributive Property involves multiplication over addition or subtraction.

Step 3 :Therefore, the correct answer is the Associative Property of Addition.

Step 4 :The property illustrated is the \(\boxed{\text{Associative Property of Addition}}\).

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