Question

List five rational numbers between:

$-1$ and $0$

Answer 1

We have, $-1$ and $0$
Let us write $-1$ and $0$ as rational numbers with denominator $6$
$-1=\frac{-6}{6}$ and $0=\frac{0}{6}$

$\Rightarrow \frac{-6}{6}$<$\frac{-5}{6}$<$\frac{-4}{6}$<$\frac{-3}{6}$<$\frac{-2}{6}$<$\frac{-1}{6}$< $0$

$\therefore -1$ < $\frac{-5}{6}$<$\frac{-2}{3}$<$\frac{-1}{2}$<$\frac{-1}{3}$<$\frac{-1}{6}$< $0$

Therefore, five rational numbers between $-1$ and $0$ would be
$\frac{-5}{6},\frac{-2}{3},\frac{-1}{2},\frac{-1}{3},\frac{-1}{6}$