Question

List five rational numbers between −2 and −1.

Answer 1

$\begin{array}{l}-2=\frac{-2\times 6}{1\times 6}=\frac{-12}{6}\\ \begin{array}{l}-1=\frac{-1\times 6}{1\times 6}=\frac{-6}{6}\\ \begin{array}{l}\mathrm{The}\mathrm{integers}\mathrm{between}-12\mathrm{and}-6\mathrm{are}-11,-10,-9,-8,-7.\\ \begin{array}{l}\\ \text{Hence, five rational numbers between}-\text{2 and}-\mathrm{1\; are}\frac{-11}{6},\frac{-10}{6},\frac{-9}{6},\frac{-8}{6},\frac{-7}{6}.\end{array}\end{array}\end{array}\end{array}$