QUESTION 1
Easy
Represent the rational numbers \(\frac{2}{3}\), \(\frac{−5}{4}\) and \(1\frac{1}{2}\) on a single number line.
SOLUTION
Given rational numbers are : \(\frac{2}{3}\), \(\frac{−5}{4}\) and \(1\frac{1}{2}\).
\(\frac{2}{3}\) lies between 0 and 1 on the number line.Divide this interval into 3 equal parts and mark the second point as \(\frac{2}{3}\).
\(\frac{−5}{4}\) lies between −1 and −2. Divide this interval into 4 equal parts and mark the first point from −1. This gives the point \(\frac{−5}{4}\).
\(1\frac{1}{2}\) or \(\frac{3}{2}\) lies between 1 and 2. Divide this interval into 2 equal parts and mark the point as \(1\frac{1}{2}\).
The three numbers represented on the number line is given in the figure.
\(\frac{2}{3}\) lies between 0 and 1 on the number line.Divide this interval into 3 equal parts and mark the second point as \(\frac{2}{3}\).
\(\frac{−5}{4}\) lies between −1 and −2. Divide this interval into 4 equal parts and mark the first point from −1. This gives the point \(\frac{−5}{4}\).
\(1\frac{1}{2}\) or \(\frac{3}{2}\) lies between 1 and 2. Divide this interval into 2 equal parts and mark the point as \(1\frac{1}{2}\).
The three numbers represented on the number line is given in the figure.