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

Full solution

Q. Which equation shows the identity property of addition?\newlineChoices:\newline(A) k=0+kk = 0 + k\newline(B) m+n+p=km + n + p = k\newline(C) (k+m)+n=k+(m+n)(k + m) + n = k + (m + n)\newline(D) m+k=k+mm + k = k + m
  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.\newline(A) k=0+kk = 0 + k matches the identity property because it shows that adding zero to kk gives us kk.\newline(B) m+n+p=km + n + p = k does not show the identity property because it involves three variables and does not involve adding zero to a single number.\newline(C) (k+m)+n=k+(m+n)(k + m) + n = k + (m + n) shows the associative property, not the identity property.\newline(D) m+k=k+mm + k = k + m shows the commutative property of addition, not the identity property.
  3. Select Correct Answer: Select the correct answer.\newlineFrom Step 22, we can see that option (A) k=0+kk = 0 + k is the only choice that demonstrates the identity property of addition.

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