Etymology
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arithmetic (n.)

"art of computation, the most elementary branch of mathematics," mid-13c., arsmetike, from Old French arsmetique (12c.), from Latin arithmetica, from Greek arithmetike (tekhnē) "(the) counting (art)," fem. of arithmetikos "of or for reckoning, arithmetical," from arithmos "number, counting, amount," from PIE *erei-dhmo-, suffixed variant form of root *re- "to reason, count."

The form arsmetrik was based on folk-etymology derivation from Medieval Latin ars metrica; the spelling was corrected early 16c. in English (though arsmetry is attested from 1590s) and French. The native formation in Old English was tælcræft, literally "tell-craft."

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Definitions of arithmetic
1
arithmetic (n.)
the branch of pure mathematics dealing with the theory of numerical calculations;
2
arithmetic (adj.)
relating to or involving arithmetic;
Synonyms: arithmetical
From wordnet.princeton.edu