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Which property of addition is shown?\newline(1+9)+8=1+(9+8)(1 + 9) + 8 = 1 + (9 + 8)\newlineChoices:\newline(A)associative\newline(B)commutative\newline(C)identity

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Q. Which property of addition is shown?\newline(1+9)+8=1+(9+8)(1 + 9) + 8 = 1 + (9 + 8)\newlineChoices:\newline(A)associative\newline(B)commutative\newline(C)identity
  1. Understand Associative Property: Understand the associative property of addition. The associative property states that the way in which numbers are grouped in an addition problem does not change the sum. It can be expressed as (a+b)+c=a+(b+c)(a + b) + c = a + (b + c).
  2. Compare with Given Equation: Compare the given equation with the associative property.\newlineThe equation given is 1+91 + 9 + 88 = 11 + 9+89 + 8. This matches the form of the associative property, where changing the grouping of the numbers does not affect the sum.
  3. Check Equation for Correctness: Check the equation for correctness.\newlineCalculate both sides:\newlineLeft side: (1+9)+8=10+8=18(1 + 9) + 8 = 10 + 8 = 18.\newlineRight side: 1+(9+8)=1+17=181 + (9 + 8) = 1 + 17 = 18.\newlineBoth sides are equal, confirming the equation is correct.

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