Question

List three rational numbers between $–2$ and $–1$.

Answer 1

There is an infinite rational number between two rational numbers.

Let us write $–1$ and $–2$ as rational numbers with denominator $5$.

$-1=-1\times \frac{5}{5}=\frac{-5}{5}$

$-2=-2\times \frac{5}{5}=\frac{-10}{5}$

So, $\frac{-10}{5}<\frac{-9}{5}<\frac{-8}{5}<\frac{-7}{5}<\frac{-6}{5}<\frac{-5}{5}$

Or, $-2<\frac{-9}{5}<\frac{-8}{5}<\frac{-7}{5}<\frac{-6}{5}<-1$

The rational number between $-2$ and $-1$ is $\frac{-9}{5},\frac{-8}{5},\frac{-7}{5}$.