rational number

noun

: a number that can be expressed as an integer or the quotient of an integer divided by a nonzero integer

Examples of rational number in a Sentence

Recent Examples on the Web
Examples are automatically compiled from online sources to show current usage. Read More Opinions expressed in the examples do not represent those of Merriam-Webster or its editors. Send us feedback.
OpenAI’s model proved that even when the variables are allowed to be any rational number—a whole number or a fraction—the mathematical world remains unsortable. — Joseph Howlett, Scientific American, 8 Oct. 2026 Specifically, is the set of all rational numbers, meaning those expressible as fractions, such as 1, or , or . — Quanta Magazine, 9 Sep. 2026

Word History

First Known Use

1873, in the meaning defined above

Time Traveler
The first known use of rational number was in 1873

Browse Nearby Words

Cite this Entry

“Rational number.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/rational%20number. Accessed 12 Oct. 2026.

Kids Definition

rational number

noun
: a number that can be expressed as a whole number or the quotient of two whole numbers

More from Merriam-Webster on rational number

Love words? Need even more definitions?

Subscribe to America's largest dictionary and get thousands more definitions and advanced search—ad free!

More from Merriam-Webster