rational numbers

Quotients of integers

Rational numbers are numbers that can be expressed as a ratio of two integers—a fraction where the numerator and denominator are whole numbers and the denominator isn't zero.

This includes integers themselves (5 is 5/1), decimals that terminate (0.75 is 3/4), and decimals that repeat (0.333... is 1/3).

The term distinguishes them from irrational numbers like pi or the square root of 2, which cannot be written as such fractions.

Opposites
mathematical classification

rational numbersirrational numbers

Non-terminating, non-repeating decimals

pi · e

countability and structure

rational numbersreal numbers

Complete ordered field

number system classification

rational numbersimaginary numbers

Multiples of i

complex numbers · transfinite numbers

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