Question

Find 5 rational numbers between x and I x I where x = - 5/11

Answer 1

$$\begin{gathered} x=\frac{-5}{11} \\ \Rightarrow \left|x\right|=\frac{5}{11} \\ WeknowthatMeanof2\mathrm{rational}\mathrm{number}\mathrm{will}\mathrm{always}\mathrm{lie}\mathrm{between}\mathrm{them}. \\ \mathrm{mid}\mathrm{point}\mathrm{of}\mathrm{xand}\left|\mathrm{x}\right|=\frac{\frac{-5}{11}+\frac{5}{11}}{2}=0 \\ \mathrm{mid}\mathrm{point}\mathrm{of}0\mathrm{and}\mathrm{x},\mathrm{a}=\frac{\frac{-5}{11}+0}{2}=\frac{-5}{22} \\ \mathrm{mid}\mathrm{point}\mathrm{of}0\mathrm{and}\left|\mathrm{x}\right|,\mathrm{b}=\frac{\frac{5}{11}+0}{2}=\frac{5}{22} \\ \mathrm{mid}\mathrm{point}\mathrm{of}0\mathrm{and}\mathrm{a}=\frac{\frac{-5}{22}+0}{2}=\frac{-5}{44} \\ \mathrm{mid}\mathrm{point}\mathrm{of}0\mathrm{and}\mathrm{b}=\frac{\frac{5}{22}+0}{2}=\frac{5}{44} \\ \mathrm{So}5\mathrm{rational}\mathrm{numbers}\mathrm{between}\mathrm{them}\mathrm{are}\frac{-5}{11},\frac{-5}{22},\frac{-5}{44},0,\frac{5}{44},\frac{5}{22},\frac{5}{11} \\ \mathrm{Hope}\mathrm{this}\mathrm{would}\mathrm{have}\mathrm{cleaed}\mathrm{your}\mathrm{doubt}. \end{gathered}$$