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Which equation shows the identity property of addition?\newlineChoices:\newline(A) r+(s+t)=(r+s)+tr + (s + t) = (r + s) + t\newline(B) r+0=rr + 0 = r\newline(C) t=r+st = r + s\newline(D) s+r=r+ss + r = r + s

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Full solution

Q. Which equation shows the identity property of addition?\newlineChoices:\newline(A) r+(s+t)=(r+s)+tr + (s + t) = (r + s) + t\newline(B) r+0=rr + 0 = r\newline(C) t=r+st = r + s\newline(D) s+r=r+ss + r = r + s
  1. Understand Identity Property: Understand the identity property of addition. The identity property of addition states that any number plus zero is the number itself. The general form of this property is a+0=aa + 0 = a.
  2. Match Given Choices: Match the given choices with the identity property of addition.\newlineWe need to find an equation that matches the form a+0=aa + 0 = a.\newline(A) r+(s+t)=(r+s)+tr + (s + t) = (r + s) + t - This is the associative property of addition.\newline(B) r+0=rr + 0 = r - This matches the identity property of addition.\newline(C) t=r+st = r + s - This is a simple equation and does not show any property.\newline(D) s+r=r+ss + r = r + s - This is the commutative property of addition.
  3. Select Correct Choice: Select the correct choice that represents the identity property of addition.\newlineFrom Step 22, we can see that choice (B) r+0=rr + 0 = r is the correct representation of the identity property of addition.

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