Question

Is a repeating decimal rational or irrational

Answer 1

A repeating decimal is considered a rational number. This is because it can be expressed as the fraction of two integers. For example, the repeating decimal \(0.333...\) (which represents \( \frac{1}{3} \)) or \(0.666...\) (which represents \( \frac{2}{3} \)) can both be converted into fractions. In general, any number with a repeating decimal can be represented as a fraction, thus classifying it as rational.