The Decimal Expansion of a Rational Number
Fill in the Blank:
The decimal expansion of a rational number is either terminating or non-terminating repeating.
Explanation:
- Terminating decimal: Ends after a finite number of digits (e.g., \(0.5\))
- Non-terminating repeating decimal: Continues forever but repeats (e.g., \(0.\overline{3}\))
Final Answer:
Terminating, Non-terminating repeating