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Which equation shows the identity property of addition?\newlineChoices:\newline(A) n=0+nn = 0 + n\newline(B) n=p+q+rn = p + q + r\newline(C) n+(p+q)=(n+p)+qn + (p + q) = (n + p) + q\newline(D) n+p=p+qn + p = p + q

Full solution

Q. Which equation shows the identity property of addition?\newlineChoices:\newline(A) n=0+nn = 0 + n\newline(B) n=p+q+rn = p + q + r\newline(C) n+(p+q)=(n+p)+qn + (p + q) = (n + p) + q\newline(D) n+p=p+qn + p = p + q
  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 Choices: Match the choices with the identity property of addition.\newlineWe need to find an equation that matches the form a+0=aa + 0 = a.
  3. Evaluate Choices: Evaluate the choices.\newline(A) n=0+nn = 0 + n matches the identity property of addition because it shows that adding zero to any number nn gives us nn itself.\newline(B) n=p+q+rn = p + q + r does not represent the identity property because it involves three different variables and does not include zero.\newline(C) n+(p+q)=(n+p)+qn + (p + q) = (n + p) + q represents the associative property of addition, not the identity property.\newline(D) n+p=p+qn + p = p + q does not represent the identity property because it does not include zero and implies a relationship between nn, pp, and qq that is not relevant to the identity property.
  4. Select Correct Answer: Select the correct answer.\newlineThe correct answer is (A) n=0+nn = 0 + n because it is the only choice that represents the identity property of addition.

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