Question

what is the length of $overline{pq}$?

Explanation:

Step1: Identify coordinates

The coordinate of point $P$ is $0$, and the coordinate of point $Q$ is $100$.

Step2: Use distance formula

The distance between two points on a number - line is $d=\vert x_2 - x_1\vert$. Here, $x_1 = 0$ and $x_2=100$, so $d=\vert100 - 0\vert$.

Step3: Calculate the result

$\vert100 - 0\vert=100$.

Answer:

$100$