modular arithmetic

noun

: arithmetic that deals with whole numbers where the numbers are replaced by their remainders after division by a fixed number
in a modular arithmetic with modulus 5, 3 multiplied by 4 is 2

Examples of modular arithmetic 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.
Suddenly, mathematicians learned to apply tools like modular arithmetic and factorization to these new number systems. Quanta Magazine, 1 Nov. 2023 There are two good reasons for using modular arithmetic. Amir Aczel, Discover Magazine, 31 July 2013

Word History

First Known Use

1941, in the meaning defined above

Time Traveler
The first known use of modular arithmetic was in 1941

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Cite this Entry

“Modular arithmetic.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/modular%20arithmetic. Accessed 10 Sep. 2025.

Kids Definition

modular arithmetic

noun
: arithmetic that deals with whole numbers in such a way that all numbers are replaced by their remainders after division by a modulus
5 hours after 10 o'clock is 3 o'clock because clocks follow a modular arithmetic with modulus 12

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