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Which equation shows the associative property of addition?\newlineChoices:\newline(A) (s+t)+u=s+(t+u)(s + t) + u = s + (t + u)\newline(B) 0+s=s0 + s = s\newline(C) s+t=t+ss + t = t + s\newline(D) t+u+v=st + u + v = s

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Q. Which equation shows the associative property of addition?\newlineChoices:\newline(A) (s+t)+u=s+(t+u)(s + t) + u = s + (t + u)\newline(B) 0+s=s0 + s = s\newline(C) s+t=t+ss + t = t + s\newline(D) t+u+v=st + u + v = s
  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 Each Choice: Analyze each choice to see which one represents the associative property of addition.\newline(A) (s+t)+u=s+(t+u)(s + t) + u = s + (t + u) - This choice shows a grouping of addends ss and tt, and then adding uu, and on the right side, it shows addend uu being added to the sum of ss and tt. This matches the associative property of addition.\newline(B) 0+s=s0 + s = s - This choice represents the identity property of addition, not the associative property.\newline(C) s+t=t+ss + t = t + s - This choice represents the commutative property of addition, not the associative property.\newline(D) t+u+v=st + u + v = s - This choice does not show any property of addition as it is simply an equation without any indication of grouping or property application.
  3. Select Correct Answer: Select the correct answer based on the analysis.\newlineFrom the analysis in Step 22, we can see that choice (A) correctly represents the associative property of addition.

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