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Which property of addition is shown?\newline1+(7+6)=(1+7)+61 + (7 + 6) = (1 + 7) + 6\newlineChoices:\newline(A)associative\newline(B)commutative

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Q. Which property of addition is shown?\newline1+(7+6)=(1+7)+61 + (7 + 6) = (1 + 7) + 6\newlineChoices:\newline(A)associative\newline(B)commutative
  1. Identify Structure: Identify the structure of the equation. The equation is 1+(7+6)=(1+7)+61 + (7 + 6) = (1 + 7) + 6. This shows a rearrangement of parentheses without changing the order of the numbers.
  2. Compare Properties: Compare the equation to the properties of addition.\newlineThe associative property allows us to change the grouping of numbers in an addition problem without changing the result. This matches our equation where only the grouping (parentheses) changes.
  3. Verify Calculation: Verify the calculation for correctness.\newlineCalculate both sides:\newlineLeft side: 1+(7+6)=1+13=141 + (7 + 6) = 1 + 13 = 14.\newlineRight side: (1+7)+6=8+6=14(1 + 7) + 6 = 8 + 6 = 14.\newlineBoth sides equal 1414, confirming the property used does not affect the sum.

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