Question

On the number line above the numbers a and b are the same distance away from zero

Answer 1

We are given that a and b are the same distance from zero.

By representing a and b as directed distances on the number line.

If we start at zero and move a units to the right, and then move the same number of units to the left, we will be back at 0.

Since a and b are the same distance from zero but are on opposite of zero,so we can write b = -a.

Sum of the number in opposite side is always zero.

`\begin{gathered} a+b=a+(-a) \\ a+b=a-a \\ a+b=0 \end{gathered}`