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Which equation shows the associative property of addition?\newlineChoices:\newline(A) b+c=db + c = d\newline(B) b+c=c+bb + c = c + b\newline(C) c+d=b+cc + d = b + c\newline(D) (b+c)+d=b+(c+d)(b + c) + d = b + (c + d)

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Q. Which equation shows the associative property of addition?\newlineChoices:\newline(A) b+c=db + c = d\newline(B) b+c=c+bb + c = c + b\newline(C) c+d=b+cc + d = b + c\newline(D) (b+c)+d=b+(c+d)(b + c) + d = b + (c + d)
  1. Understand associative property: Understand the associative property of addition. 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. Analyze choices: Analyze each choice to see which one represents the associative property of addition. \newline(A) b+c=db + c = d does not show any grouping of addends, so it does not represent the associative property.
  3. Continue analyzing: Continue analyzing the choices.\newline(B) b+c=c+bb + c = c + b represents the commutative property of addition, which states that the order of addends does not affect the sum, not the associative property.
  4. Move on: Move on to the next choice.\newline(C) c+d=b+cc + d = b + c is another example of the commutative property, as it shows that changing the order of addends does not change the sum.
  5. Examine last choice: Examine the last choice.\newline(D) (b+c)+d=b+(c+d)(b + c) + d = b + (c + d) shows the same sum on both sides of the equation with different groupings of addends. This is the associative property of addition.

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