Q
QuestionMathematics

"Using the Associative Property of Addition, complete the statement: 17 +(6 + 2x)=(17 + 6)+ 2x"
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Answer

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Step 1
: Recall the Associative Property of Addition, which states that changing the grouping of addends does not change the sum.

17 + (6 + 2x) = (17 + 6) + 2x
In this case, the associative property allows us to rewrite the original equation as follows:

Step 2
: To verify the associative property, we can first perform the operation inside the parentheses on the left side of the equation:

17 + (6 + 2x) = 17 + 8x

Final Answer

The statement $17 + (6 + 2x) = (17 + 6) + 2x$ is true, demonstrating the associative property of addition.