Question

Find two rational numbers between −3 and −2.

Answer 1

$$\begin{gathered} \mathrm{Required}\mathrm{number}=\frac{1}{2}\times \left(-3-2\right) \\ =\frac{1}{2}(-5) \\ =\frac{-5}{2} \\ \mathrm{We}\mathrm{know}: \\ -3<\frac{-5}{2}<-2 \\ \mathrm{Rational}\mathrm{number}\mathrm{between}-3\mathrm{and}\frac{-5}{2}=\frac{1}{2}\times \left(-3-\frac{5}{2}\right) \\ =\frac{1}{2}\left(\frac{-6-5}{2}\right) \\ =\frac{1}{2}\times \frac{-11}{2} \\ =\frac{-11}{4} \\ \mathrm{Thus},\mathrm{the}\mathrm{required}\mathrm{numbers}\mathrm{are}\frac{-5}{2}\mathrm{and}\frac{-11}{4}. \end{gathered}$$