Q. Which equation shows the identity property of addition?Choices:(A) k=0+k(B) m+n+p=k(C) (k+m)+n=k+(m+n)(D) m+k=k+m
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.(A) k=0+k matches the identity property because it shows that adding zero to k gives us k.(B) m+n+p=k does not show the identity property because it involves three variables and does not involve adding zero to a single number.(C) (k+m)+n=k+(m+n) shows the associative property, not the identity property.(D) m+k=k+m shows the commutative property of addition, not the identity property.
Select Correct Answer: Select the correct answer.From Step 2, we can see that option (A) k=0+k is the only choice that demonstrates the identity property of addition.