Question

Find 24 rational number between 0 and 0.1

Answer 1

Dear Student,
$$\begin{gathered} 0=\frac{0\times 1000}{1\times 1000}=\frac{0}{1000} \\ 0.1=\frac{1}{10}=\frac{1\times 100}{10\times 100}=\frac{100}{1000} \\ Thus,Twentyfourrationalnumbersbetween0and0.1canbetakenas \\ \frac{1}{1000},\frac{2}{1000},\frac{3}{1000},\frac{4}{1000},\frac{5}{1000},\frac{6}{1000},\frac{7}{1000},\frac{8}{1000},\frac{9}{1000},\frac{10}{1000}, \\ \frac{11}{1000},\frac{12}{1000},\frac{13}{1000},\frac{14}{1000},\frac{15}{1000},\frac{16}{1000},\frac{17}{1000},\frac{18}{1000},\frac{19}{1000},\frac{20}{1000}, \\ \frac{21}{1000},\frac{22}{1000},\frac{23}{1000},\frac{24}{1000} \\ i.e., \\ rationalnumberbetween0and0.1are \\ 0.001,0.002,0.003,0.004,0.005,0.006,0.007,0.008,0.009,0.010,0.011, \\ 0.012,0.013,0.014,0.015,0.016,0.017,0.018,0.019,0.020,0.021,0.022, \\ 0.023,0.023,0.024 \end{gathered}$$

Regards