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Which equation shows the commutative property of addition?\newlineChoices:\newline(A) (a+b)+c=a+(b+c)(a + b) + c = a + (b + c)\newline(B) c+d=a+bc + d = a + b\newline(C) 0+a=a0 + a = a\newline(D) b+a=a+bb + a = a + b

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Q. Which equation shows the commutative property of addition?\newlineChoices:\newline(A) (a+b)+c=a+(b+c)(a + b) + c = a + (b + c)\newline(B) c+d=a+bc + d = a + b\newline(C) 0+a=a0 + a = a\newline(D) b+a=a+bb + a = a + b
  1. Understand Commutative Property: Understand the commutative property of addition. The commutative property of addition states that the order in which two numbers are added does not change the sum. In other words, a+b=b+aa + b = b + a.
  2. Analyze Given Choices: Analyze the given choices to find which one represents the commutative property.\newlineWe need to find an equation where the order of addends is switched but the sum remains the same.
  3. Evaluate Each Choice: Evaluate each choice against the commutative property.\newline(A) (a+b)+c=a+(b+c)(a + b) + c = a + (b + c) - This shows the associative property, not the commutative property.\newline(B) c+d=a+bc + d = a + b - This does not necessarily show the commutative property, as we don't know if aa, bb, cc, and dd are the same or different numbers.\newline(C) 0+a=a0 + a = a - This shows the identity property of addition, not the commutative property.\newline(D) b+a=a+bb + a = a + b - This directly shows the commutative property, as it indicates that the sum of bb and aa is the same as the sum of aa and bb, regardless of the order.

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