How do you plot rational numbers on a number line?

Apr 4, 2016

The process to plot a rational number on a number line is as below.

Explanation:

Let the rational number be $\frac{p}{q}$, where $p$ may be any integer (positive or negative) and $q$ be a positive integer.

To plot $\frac{p}{q}$, draw a line of $q$ units at an angle to real number line from $0$ and join it to $p$ units on real number line. Also mark a point one unit away from $0$ on the line of length $q$.

Now draw a line from the point denoting one unit, parallel to the line joining $q$ and $p$ so that it cuts real number line at a point.

This point denotes the rational number $\frac{p}{q}$.

See figure below for details.