Question

what is the additive inverse of 2/3? -3/2 2/3 -2/3 3/2

Explanation:

Step1: Recall additive inverse definition

The additive inverse of a number $a$ is a number $b$ such that $a + b=0$. Let $a = \frac{2}{3}$, and we want $\frac{2}{3}+b = 0$.

Step2: Solve for $b$

Subtract $\frac{2}{3}$ from both sides of the equation $\frac{2}{3}+b = 0$. We get $b=0-\frac{2}{3}=-\frac{2}{3}$.

Answer:

C. $-\frac{2}{3}$