Question

write five rational numbers between -1 and + 1 using the method of Arithmetic mean

Answer 1

Dear student
$$\begin{gathered} \mathrm{Rational}\mathrm{number}\mathrm{between}-1\mathrm{and}1=\frac{-1+1}{2}=0 \\ \mathrm{Now},\mathrm{rational}\mathrm{number}\mathrm{between}-1\mathrm{and}0=\frac{-1+0}{2}=-\frac{1}{2} \\ \mathrm{Now},\mathrm{rational}\mathrm{number}\mathrm{between}0\mathrm{and}1=\frac{0+1}{2}=\frac{1}{2} \\ \mathrm{Now},\mathrm{rational}\mathrm{number}\mathrm{between}\frac{1}{2}\mathrm{and}1=\frac{{\displaystyle \frac{1}{2}}+1}{2}=\frac{{\displaystyle \frac{3}{2}}}{2}=\frac{3}{4} \\ \mathrm{Now},\mathrm{rational}\mathrm{number}\mathrm{between}-1\mathrm{and}\frac{-1}{2}=\frac{{\displaystyle -\frac{1}{2}-1}}{2}=\frac{{\displaystyle -\frac{3}{2}}}{2}=-\frac{3}{4} \\ \mathrm{So},\mathrm{five}\mathrm{rational}\mathrm{numbers}\mathrm{between}-1\mathrm{and}1\mathrm{are} \\ -\frac{3}{4},-\frac{1}{2},0,\frac{1}{2},\frac{3}{4} \end{gathered}$$
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