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Which equation shows the identity property of addition?\newlineChoices:\newline(A) 8+9=9+88 + 9 = 9 + 8\newline(B) 3+9=4+83 + 9 = 4 + 8\newline(C) 0+2=20 + 2 = 2\newline(D) 7+(9+5)=(7+9)+57 + (9 + 5) = (7 + 9) + 5

Full solution

Q. Which equation shows the identity property of addition?\newlineChoices:\newline(A) 8+9=9+88 + 9 = 9 + 8\newline(B) 3+9=4+83 + 9 = 4 + 8\newline(C) 0+2=20 + 2 = 2\newline(D) 7+(9+5)=(7+9)+57 + (9 + 5) = (7 + 9) + 5
  1. Identify Property: Identify the identity property of addition, which states that adding zero to any number does not change its value: a+0=aa + 0 = a.
  2. Review Choices: Review each choice to see which one matches the identity property:\newline(A) 8+9=9+88 + 9 = 9 + 8 - This is the commutative property, not identity.\newline(B) 3+9=4+83 + 9 = 4 + 8 - This is an incorrect equation, not related to identity.\newline(C) 0+2=20 + 2 = 2 - This matches the identity property, as adding zero to 22 gives 22.\newline(D) 7+(9+5)=(7+9)+57 + (9 + 5) = (7 + 9) + 5 - This is the associative property, not identity.
  3. Match Identity Property: Select the correct answer based on the identity property:\newlineChoice (C)(C) correctly shows the identity property of addition.

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