Question
The number \(0.318564318564318564\ldots\) is:
(a) a natural number
(b) an integer
(c) a rational number
(d) an irrational number
Solution
The decimal \(0.318564318564318564\ldots\) has a repeating block:
\[ 318564 \]
Since the decimal expansion is non-terminating but repeating, it represents a rational number.
Also, it is not a natural number or integer because it is not a whole number.
Final Answer
✔ Correct option: (c) a rational number