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

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Q. Which equation shows the associative property of addition?\newlineChoices:\newline(A) b+a=a+bb + a = a + b\newline(B) (a+b)+c=a+(b+c)(a + b) + c = a + (b + c)\newline(C) a=0+aa = 0 + a\newline(D) b+c+d=ab + c + d = a
  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. Identify Correct Equation: Analyze the given choices to identify which one represents the associative property of addition.\newlineWe need to find an equation that shows the grouping of addends can be changed without affecting the sum.\newline(A) b+a=a+bb + a = a + b - This equation shows the commutative property of addition, not the associative property.\newline(B) (a+b)+c=a+(b+c)(a + b) + c = a + (b + c) - This equation is in the form of the associative property of addition.\newline(C) a=0+aa = 0 + a - This equation shows the identity property of addition.\newline(D) b+c+d=ab + c + d = a - This equation does not show any property of addition as it is not a valid equation without further context.
  3. Select Correct Answer: Select the correct answer based on the analysis.\newlineFrom Step 22, we can see that choice (B) is the only one that matches the form of the associative property of addition.

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