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Which equation shows the identity property of addition?\newlineChoices:\newline(A) p+q=n+pp + q = n + p\newline(B) 0+n=n0 + n = n\newline(C) n+p=p+nn + p = p + n\newline(D) (n+p)+q=n+(p+q)(n + p) + q = n + (p + q)

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Full solution

Q. Which equation shows the identity property of addition?\newlineChoices:\newline(A) p+q=n+pp + q = n + p\newline(B) 0+n=n0 + n = n\newline(C) n+p=p+nn + p = p + n\newline(D) (n+p)+q=n+(p+q)(n + p) + q = n + (p + q)
  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 Given Choices: Match the given choices with the identity property of addition.\newlineWe need to find an equation where a number is added to 00 and the result is the number itself.
  3. Evaluate Choices: Evaluate the choices to find the one that matches the identity property.\newline(A) p+q=n+pp + q = n + p does not match the identity property because there is no zero involved.\newline(B) 0+n=n0 + n = n matches the identity property because adding zero to nn gives nn.\newline(C) n+p=p+nn + p = p + n is the commutative property of addition, not the identity property.\newline(D) (n+p)+q=n+(p+q)(n + p) + q = n + (p + q) is the associative property of addition, not the identity property.
  4. Select Correct Choice: Select the correct choice that demonstrates the identity property of addition.\newlineThe correct choice is (B) 0+n=n0 + n = n because it shows that adding zero to a number nn gives the number nn itself, which is the identity property of addition.

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