Question

Write 5 rational numbers and 5 irrational numbers in decimal form.

Answer 1

$$\begin{gathered} \mathrm{We}\mathrm{know}\mathrm{that}\mathrm{rational}\mathrm{numbers}\mathrm{have}\mathrm{terminating}\mathrm{or}\mathrm{non}\mathrm{terminating}\mathrm{repeating}\mathrm{decimal}\mathrm{expansion}. \\ \mathrm{So},5\mathrm{rational}\mathrm{numbers}\mathrm{in}\mathrm{decimal}\mathrm{form}\mathrm{are}: \\ 0.5,3.2,1.6,0.\overline{5}\left(\mathrm{or}0.555......\right)\mathrm{and}0.7\overline{5}\left(\mathrm{or}0.7555....\right). \\ \mathrm{We}\mathrm{know}\mathrm{that}\mathrm{irrational}\mathrm{numbers}\mathrm{have}\mathrm{non}\mathrm{terminating}\mathrm{and}\mathrm{non}\mathrm{repeating}\mathrm{decimal}\mathrm{expansion}. \\ \mathrm{So},5\mathrm{irrational}\mathrm{numbers}\mathrm{in}\mathrm{decimal}\mathrm{form}\mathrm{are}: \\ 0.232332333......,0.303003000.......,1.414215.......,1.732050807..........\mathrm{and}3.1428571........... \end{gathered}$$