Concept:A rational number can be written as a fraction
qp​ (with
qî€ =0). Its decimal expansion either ends (terminates) or eventually repeats a block of digits.
Explanation:When you divide numerator by denominator, the remainder must be between 0 and
q−1.
If at any step the remainder becomes 0, the division ends — this gives a terminating decimal.
If the remainder never becomes 0, the process repeats because only
q different remainders exist. Hence the decimal digits repeat in a cycle.
So the decimal expansion of any rational number is either terminating or repeating (recurring).
Answer:Option B (Terminating or repeating).