Question

Find two rational numbers between -3 and -2. ?

Answer 1

First rational number between -3 and -2

$=\frac{1}{2}[-3+(-2\left)\right]=\frac{1}{2}(-3-2)$

$=\frac{1}{2}(-5)=\frac{-5}{2}$

$\therefore -3<\frac{-5}{2}<-2$

Second rational number between -3 and $\frac{-5}{2}$

$-\frac{1}{2}[-3+(\frac{-5}{2}\left)\right]=\frac{1}{2}[-3-\frac{5}{2}]$

$=\frac{1}{2}\left[\frac{-6-5}{2}\right]=\frac{1}{2}\times \frac{1}{2}\times \frac{-11}{2}=\frac{-11}{4}$