Q. Which equation shows the identity property of addition?Choices:(A) n=0+n(B) n=p+q+r(C) n+(p+q)=(n+p)+q(D) n+p=p+q
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=a.
Match Choices: Match the choices with the identity property of addition.We need to find an equation that matches the form a+0=a.
Evaluate Choices: Evaluate the choices.(A) n=0+n matches the identity property of addition because it shows that adding zero to any number n gives us n itself.(B) n=p+q+r does not represent the identity property because it involves three different variables and does not include zero.(C) n+(p+q)=(n+p)+q represents the associative property of addition, not the identity property.(D) n+p=p+q does not represent the identity property because it does not include zero and implies a relationship between n, p, and q that is not relevant to the identity property.
Select Correct Answer: Select the correct answer.The correct answer is (A) n=0+n because it is the only choice that represents the identity property of addition.