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Which equation shows the identity property of addition?\newlineChoices:\newline(A) m=n+p+qm = n + p + q\newline(B) m+n=n+mm + n = n + m\newline(C) m=m+0m = m + 0\newline(D) p+q=m+np + q = m + n

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Full solution

Q. Which equation shows the identity property of addition?\newlineChoices:\newline(A) m=n+p+qm = n + p + q\newline(B) m+n=n+mm + n = n + m\newline(C) m=m+0m = m + 0\newline(D) p+q=m+np + q = m + n
  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. Examine Answer Choices: Examine each answer choice to see which one represents the identity property of addition.\newline(A) m=n+p+qm = n + p + q does not show the identity property because there is no addition with zero.\newline(B) m+n=n+mm + n = n + m shows the commutative property of addition, not the identity property.\newline(C) m=m+0m = m + 0 directly shows the identity property of addition, as it states that a number mm plus zero equals the number itself.\newline(D) p+q=m+np + q = m + n does not show the identity property because there is no addition with zero.
  3. Select Correct Answer: Select the correct answer based on the identity property of addition.\newlineFrom Step 22, we can see that option (C) m=m+0m = m + 0 is the correct answer because it is the only choice that represents the identity property of addition.

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