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Which equation shows the identity property of addition?\newlineChoices:\newline(A) j=g+hj = g + h\newline(B) (g+h)+j=g+(h+j)(g + h) + j = g + (h + j)\newline(C) 0+g=g0 + g = g\newline(D) g+h=h+gg + h = h + g

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Full solution

Q. Which equation shows the identity property of addition?\newlineChoices:\newline(A) j=g+hj = g + h\newline(B) (g+h)+j=g+(h+j)(g + h) + j = g + (h + j)\newline(C) 0+g=g0 + g = g\newline(D) g+h=h+gg + h = h + g
  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) j=g+hj = g + h does not show the identity property because it does not involve adding zero to a number.\newline(B) (g+h)+j=g+(h+j)(g + h) + j = g + (h + j) shows the associative property, not the identity property.\newline(C) 0+g=g0 + g = g directly shows the identity property of addition, as adding zero to gg gives us gg.\newline(D) g+h=h+gg + h = h + g shows the commutative property of addition, not the identity property.
  3. Select Correct Answer: Select the correct answer based on the identity property of addition.\newlineThe correct answer is (C) 0+g=g0 + g = g because it is the only choice that demonstrates the identity property of addition.

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