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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

Ask by Mcfarlane Hanson. in the United States
Mar 08,2025

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The statement is an example of the associative property.

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Bonus Knowledge

This statement beautifully showcases the associative property of addition! The associative property states that the way numbers are grouped in addition (or multiplication) doesn’t change their sum (or product). Here, the grouping changes but the value remains constant! So, whether you add \(-8\) to the sum of \(12+6\) or group \(-8\) with \(12\) first and then add \(6\), the final outcome stays the same — a win-win in math!

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