The number line sketched above shows the positions of both points A and B.
They both are the same distance from the point zero. However, while the measure of the distance is always a positive value, the value on the number line to the left is negative, while that on the right is positive. Therefore, adding both values (same value/distance) on both the left and rigt side will result in 0.
Whatever is the value of B on the number line, e.g, 3 units, then A will be the negative and adding;
![\begin{gathered} 3+\lbrack-3\rbrack \\ =3-3 \\ =0 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/sih18wqqkrzfepoq653exn2cvo5b4h4ere.png)
The correct answer is option B