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Which equation shows the associative property of addition?\newlineChoices:\newline(A) a+(b+c)=(a+b)+ca + (b + c) = (a + b) + c\newline(B) c+d=a+bc + d = a + b\newline(C) a+b=b+ca + b = b + c\newline(D) a=0+aa = 0 + a

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Q. Which equation shows the associative property of addition?\newlineChoices:\newline(A) a+(b+c)=(a+b)+ca + (b + c) = (a + b) + c\newline(B) c+d=a+bc + d = a + b\newline(C) a+b=b+ca + b = b + c\newline(D) a=0+aa = 0 + a
  1. Property Explanation: The associative property of addition states that the way in which addends are grouped does not change the sum. In mathematical terms, this property is expressed as (a+b)+c=a+(b+c)(a + b) + c = a + (b + c).
  2. Identification of Correct Choice: We need to identify which of the given choices matches the form of the associative property of addition.
  3. Correct Representation: Choice (A) a+(b+c)=(a+b)+ca + (b + c) = (a + b) + c is the correct representation of the associative property of addition because it shows that the grouping of the addends can be changed without affecting the sum.
  4. Incorrect Choices: Choices (B)(B), (C)(C), and (D)(D) do not represent the associative property of addition. Choice (B)(B) is just an equation with different variables, choice (C)(C) is an equation that could represent the commutative property, and choice (D)(D) shows the identity property of addition.

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