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Which equation shows the identity property of addition?\newlineChoices:\newline(A) m+n=j+km + n = j + k\newline(B) j+(k+m)=(j+k)+mj + (k + m) = (j + k) + m\newline(C) 0+j=j0 + j = j\newline(D) k+m+n=jk + m + n = j

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Full solution

Q. Which equation shows the identity property of addition?\newlineChoices:\newline(A) m+n=j+km + n = j + k\newline(B) j+(k+m)=(j+k)+mj + (k + m) = (j + k) + m\newline(C) 0+j=j0 + j = j\newline(D) k+m+n=jk + m + n = j
  1. Understand Identity Property: Understand the identity property of addition. The identity property of addition states that adding zero to any number does not change the value of that number. In mathematical terms, this is expressed as 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=j+km + n = j + k does not show the identity property because it does not involve adding zero to a number.\newline(B) j+(k+m)=(j+k)+mj + (k + m) = (j + k) + m shows the associative property, not the identity property.\newline(C) 0+j=j0 + j = j directly shows the identity property of addition, as adding zero to jj gives us jj.\newline(D) k+m+n=jk + m + n = j does not show the identity property because it does not involve adding zero to a number.
  3. Select Correct Answer: Select the correct answer based on the identity property of addition.\newlineFrom the previous step, we can see that option (C) 0+j=j0 + j = j is the correct answer because it is the only choice that demonstrates the identity property of addition.

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