| Which of the following rational numbers have terminating decimal? |
| (i) \[\frac{16}{50}\] |
| (ii) \[\frac{5}{18}\] |
| (iii) \[\frac{2}{21}\] |
| (iv) \[\frac{7}{250}\] |
A) (i) and (ii)
B) (ii) and (iii)
C) (i) and (iii)
D) (i) and (iv)
Correct Answer: D
Solution :
| Sol. [d] (i) \[\frac{16}{50}=\frac{{{2}^{4}}}{2\times {{5}^{2}}}\] (ii) \[\frac{5}{18}=\frac{5}{2\times {{3}^{2}}}\] |
| (iii) \[\frac{2}{21}=\frac{2}{3\times 7}\] (iv) \[\frac{7}{250}=\frac{7}{{{5}^{3}}\times 2}\] |
| We have. (i) and (iv) having denominator of the form \[{{2}^{m}}\times {{5}^{n}}\]. |
| So, they are terminating. |
You need to login to perform this action.
You will be redirected in
3 sec
