The additive inverse of a number is another number that, when added to the initial number, the result is equal to 0.
The additive inverse is also known as the opposite of a number.
Let's use the variable x to represent the additive inverse of -7.
So, we can write the following equation and solve it for x:
[tex]\begin{gathered} -7+x=0 \\ -7=-x \\ 7=x\to x=7 \end{gathered}[/tex]Therefore the additive inverse of -7 is equal to 7, and the correct option is the fourth one.
