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

Full solution

Q. Which equation shows the identity property of addition?\newlineChoices:\newline(A) m+n=k+mm + n = k + m\newline(B) m+n+p=km + n + p = k\newline(C) k+m=m+kk + m = m + k\newline(D) k=0+kk = 0 + k
  1. Understand Identity Property: Understand the identity property of addition. The identity property of addition states that any number plus zero equals the original number. The equation should look like a=a+0a = a + 0 or a=0+aa = 0 + a.
  2. Analyze Choices: Analyze each choice to see which matches the identity property.\newline(A) m+n=k+mm + n = k + m - This equation does not include 00, so it doesn't show the identity property.
  3. Continue Analysis: Continue analyzing the choices.\newline(B) m+n+p=km + n + p = k - This equation also doesn't include 00 and is not relevant to the identity property.
  4. Check Next Choice: Check the next choice.\newline(C) k+m=m+kk + m = m + k - This equation shows the commutative property of addition, not the identity property.
  5. Check Last Choice: Check the last choice.\newline(D) k=0+kk = 0 + k - This equation correctly shows that adding zero to a number results in the original number, which is the identity property of addition.

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