Question

The number 0.318564318564318564….. is:

• A. a natural number
• B. an integer
• C. a rational number
• D. an irrational number

Answer 1

The correct option is C a rational number

$\mathrm{0.318564318564318564...}=0.\overline{318564}$

0.318564318564318564... is non terminating and 318564 part is reccuring . So, it is non – terminating and recurring.
We know that rational numbers are terminating or non-terminating and recurring.
Hence, 0.318564318564318564... is a rational number.