QQuestionMathematics
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
Step 3:: Next, perform the operation inside the parentheses on the right side of the equation:
(17 + 6) + 2x = 23 + 2x
Step 4:: Now, compare the results from Steps 2 and 3.
17 + 8x = 23 + 2x
The expressions are equal, confirming the associative property of addition:
Final Answer
The statement $17 + (6 + 2x) = (17 + 6) + 2x$ is true, demonstrating the associative property of addition.
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