different between numeration vs arithmetic

English

Pronunciation

• Rhymes: -e???n

Noun

numeration (countable and uncountable, plural numerations)

1. The act of counting or numbering things; enumeration.
2. Any system of giving names to numbers.

Synonyms

• (act of counting or numbering things): enumeration, numbering; see also Thesaurus:counting

Translations

Anagrams

• mountainer, muneration, nominature

English

Alternative forms

• arsmetrike, arsmetryke (obsolete)

Etymology

From Middle English arsmetike, from Old French arismetique, from Latin arithm?tica, arithmeticus, from Ancient Greek ?????????? (?????) (arithm?tik? (tékhn?), “(art of) counting”), feminine of ??????????? (arithm?tikós, “arithmetical”), from ??????? (arithmós, “number, counting”), from Proto-Indo-European *h?ri-d?h?-mó-s, form of *h?rey- (“to count, reason”). Used in English since 13th century.

Pronunciation

• (noun): (Received Pronunciation, General American) enPR: ?r?th'm?t?k, IPA^(key): /?????m?t?k/
• (adjective): (Received Pronunciation, General American) enPR: ?r?thm?t'?k, IPA^(key): /æ????m?t?k/
• Hyphenation: arith?met?ic

Noun

arithmetic (usually uncountable, plural arithmetics)

1. The mathematics of numbers (integers, rational numbers, real numbers, or complex numbers) under the operations of addition, subtraction, multiplication, and division.
   • 1992, Douglas M. Priest, On Properties of Floating Point Arithmetics, University of California, Berkeley, page 17,

     Note that all correctly rounding arithmetics satisfy property A1, as do those with properly truncating addition. All faithful binary arithmetics and all arithmetics with either properly truncating or correctly chopping addition satisfy property A2.

Hypernyms

• (study): math (US), maths (UK), mathematics

Derived terms

Translations

Adjective

arithmetic (not comparable)

1. (mathematics) Of, relating to, or using arithmetic; arithmetical.

   arithmetic geometry
2. (arithmetic) Of a progression, mean, etc, computed solely using addition.

   arithmetic progression

Coordinate terms

• (computed solely using addition): geometric

Derived terms

Translations

See also

• List of terms used in arithmetic