Question

List five rational numbers between $-2$ and $-1.$

Answer 1

Find rational numbers between given numbers:

Given numbers, $-2$ and $-1$

Rational numbers are numbers which can be represented in $\raisebox{1ex}{$p$}\!\left/ \!\raisebox{-1ex}{$q$}\right.$ form, where $p,qa\text{re integers and}$ $q\ne 0$.

Multiply $-2$ by $\frac{8}{8}$, we get $-\frac{16}{8}$

Multiply $-1$ by $\frac{8}{8}$, we get $-\frac{8}{8}$

So, the required rational numbers are $-\frac{15}{8},-\frac{14}{8},-\frac{13}{8},-\frac{12}{8},-\frac{11}{8}$

Hence, the rational numbers between $-2$ and $-1$ are $\mathbf{-}\frac{\mathbf{15}}{\mathbf{8}}\mathbf{,}\mathbf{}\mathbf{-}\frac{\mathbf{14}}{\mathbf{8}}\mathbf{,}\mathbf{}\mathbf{-}\frac{\mathbf{13}}{\mathbf{8}}\mathbf{,}\mathbf{}\mathbf{-}\frac{\mathbf{12}}{\mathbf{8}}\mathbf{,}\mathbf{}\mathbf{-}\frac{\mathbf{11}}{\mathbf{8}}$.