Question

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

Answer 1

Find rational numbers between the given numbers:

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

Rational numbers are numbers which can be represented in $\frac{p}{q}$ form, where $p,q\text{are intergers and}q\ne 0$.

Multiply $-2$ by $\frac{6}{6}$,so, we get $-\frac{12}{6}$

Multiply $-1$ by $\frac{6}{6}$, so, we get $-\frac{6}{6}$

Rational numbers are $-\frac{11}{6},-\frac{10}{6},-\frac{9}{6},-\frac{8}{6},-\frac{7}{6}.$

Hence rational numbers between $\mathbf{-}\mathbf{2}$ and $\mathbf{-}\mathbf{1}$ are $\mathbf{-}\frac{\mathbf{11}}{\mathbf{6}}\mathbf{,}\mathbf{}\mathbf{-}\frac{\mathbf{10}}{\mathbf{6}}\mathbf{,}\mathbf{}\mathbf{-}\frac{\mathbf{9}}{\mathbf{6}}\mathbf{,}\mathbf{}\mathbf{-}\frac{\mathbf{8}}{\mathbf{6}}\mathbf{,}\mathbf{}\mathbf{-}\frac{\mathbf{7}}{\mathbf{6}}$.