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Which equation shows the associative property of addition?\newlineChoices:\newline(A) n=p+q+rn = p + q + r\newline(B) (n+p)+q=n+(p+q)(n + p) + q = n + (p + q)\newline(C) n+p=p+nn + p = p + n\newline(D) q=n+pq = n + p

Full solution

Q. Which equation shows the associative property of addition?\newlineChoices:\newline(A) n=p+q+rn = p + q + r\newline(B) (n+p)+q=n+(p+q)(n + p) + q = n + (p + q)\newline(C) n+p=p+nn + p = p + n\newline(D) q=n+pq = n + p
  1. Understand Associative Property: Step 11: Understand the associative property of addition. The associative property of addition states that the way in which numbers are grouped in an addition problem does not change the sum. It can be expressed as (a+b)+c=a+(b+c)(a + b) + c = a + (b + c).
  2. Analyze Choices for Match: Step 22: Analyze each choice to see which matches the associative property format.\newline(A) n=p+q+rn = p + q + r - This is just an equation, not showing any grouping.\newline(B) (n+p)+q=n+(p+q)(n + p) + q = n + (p + q) - This matches the format of the associative property.\newline(C) n+p=p+nn + p = p + n - This shows the commutative property, not associative.\newline(D) q=n+pq = n + p - Again, just a simple equation without showing grouping.

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