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Which equation shows the commutative property of addition?\newlineChoices:\newline(A) s=s+0s = s + 0\newline(B) t+s=s+tt + s = s + t\newline(C) s+t=u+vs + t = u + v\newline(D) s+(t+u)=(s+t)+us + (t + u) = (s + t) + u

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Q. Which equation shows the commutative property of addition?\newlineChoices:\newline(A) s=s+0s = s + 0\newline(B) t+s=s+tt + s = s + t\newline(C) s+t=u+vs + t = u + v\newline(D) s+(t+u)=(s+t)+us + (t + u) = (s + t) + u
  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 Answer Choices: Analyze each answer choice to see which one demonstrates the commutative property.\newline(A) s=s+0s = s + 0 does not show the commutative property; it shows the identity property of addition.\newline(B) t+s=s+tt + s = s + t directly shows the commutative property, as it indicates that the sum remains the same regardless of the order of the addends.\newline(C) s+t=u+vs + t = u + v does not necessarily show the commutative property, as it does not relate the same addends in a reversed order.\newline(D) s+(t+u)=(s+t)+us + (t + u) = (s + t) + u shows the associative property of addition, not the commutative property.
  3. Select Correct Answer: Select the correct answer based on the analysis.\newlineThe correct answer is (B) t+s=s+tt + s = s + t because it is the only choice that directly demonstrates the commutative property of addition.

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