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Which property of addition is shown?\newline(a+b)+c=a+(b+c)(a + b) + c = a + (b + c)\newlineChoices:\newline(A) associative\newline(B) commutative\newline(C) identity

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Q. Which property of addition is shown?\newline(a+b)+c=a+(b+c)(a + b) + c = a + (b + c)\newlineChoices:\newline(A) associative\newline(B) commutative\newline(C) identity
  1. Associative Property Explanation: The associative property of addition states that the way in which numbers are grouped does not change their sum. In other words, when adding three or more numbers, the sum is the same regardless of the grouping of the addends. The associative property can be written as (a+b)+c=a+(b+c)(a + b) + c = a + (b + c).
  2. Matching Given Equation: We need to match the given equation (a+b)+c=a+(b+c)(a + b) + c = a + (b + c) with the properties of addition listed in the choices. The associative property is the one that deals with the grouping of numbers, as described in the previous step.
  3. Commutative Property: The commutative property of addition states that the order in which two numbers are added does not change the sum, which can be written as a+b=b+aa + b = b + a. This is not what is being shown in the given equation.
  4. Identity Property: The identity property of addition states that adding zero to any number does not change the number, which can be written as a+0=aa + 0 = a. This is also not what is being shown in the given equation.
  5. Comparison and Correct Choice: By comparing the given equation (a+b)+c=a+(b+c)(a + b) + c = a + (b + c) with the properties of addition, we can see that it matches the description of the associative property. Therefore, the correct choice is (A)(A) associative.

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