Question

what is the additive inverse of -5?

Explanation:

Step1: Recall Additive Inverse Definition

The additive inverse of a number \( x \) is a number \( y \) such that \( x + y = 0 \). Mathematically, this means \( y=-x \).

Step2: Apply Definition to \( -5 \)

Let \( x = -5 \). Then its additive inverse \( y=-x=-(-5) \). Using the rule that the negative of a negative is positive, \( -(-5) = 5 \). We can verify: \( -5 + 5 = 0 \), which satisfies the additive inverse property.

Answer:

\( 5 \)