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

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Full solution

Q. Which equation shows the identity property of addition?\newlineChoices:\newline(A) m=m+0m = m + 0\newline(B) (m+n)+p=m+(n+p)(m + n) + p = m + (n + p)\newline(C) n+m=m+nn + m = m + n\newline(D) p=m+np = m + n
  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) m=m+0m = m + 0\newline(B) (m+n)+p=m+(n+p)(m + n) + p = m + (n + p) - This is the associative property of addition.\newline(C) n+m=m+nn + m = m + n - This is the commutative property of addition.\newline(D) p=m+np = m + n - This does not represent any property being asked about.
  3. Identify Correct Choice: Identify the correct choice.\newlineChoice (A) m=m+0m = m + 0 correctly represents the identity property of addition, as it shows that adding zero to a number mm gives us the same number mm.

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