Properties of Real Numbers: example 1.125

To find the additive inverse, we find the opposite.

1. ⓐ The additive inverse of $\frac{5}{8}$ is the opposite of $\frac{5}{8}.$ The additive inverse of $\frac{5}{8}$ is $-\frac{5}{8}.$
   
   
2. ⓑ The additive inverse of 0.6 is the opposite of 0.6. The additive inverse of 0.6 is $\mathrm{-0.6}.$
   
   
3. ⓒ The additive inverse of $\mathrm{-8}$ is the opposite of $\mathrm{-8}.$ We write the opposite of $\mathrm{-8}$ as $\text{−}\left(\mathrm{-8}\right),$ and then simplify it to 8. Therefore, the additive inverse of $\mathrm{-8}$ is 8.
   
   
4. ⓓ The additive inverse of $-\frac{4}{3}$ is the opposite of $-\frac{4}{3}.$ We write this as $\text{−}\left(-\frac{4}{3}\right),$ and then simplify to $\frac{4}{3}.$ Thus, the additive inverse of $-\frac{4}{3}$ is $\frac{4}{3}.$