arithmetic

English

Wikipedia

Etymology

From Middle English arsmetike, from Old French arismetique, from Latin arithmetica, from Ancient Greek ἀριθμητική (“counting”) (τέχνη (“art”)), from ἀριθμός (“number”). Used in English since 13th Century.

Pronunciation

• (noun): enPR: ərĭth'mətĭk, IPA: /əˈrɪθmətɪk/, X-SAMPA: /@"rITm@tIk/
• (adjective): enPR: ărĭthmĕ'tĭk, IPA: /ærɪθˈmɛtɪk/, X-SAMPA: /{rIT"mEtIk/

• Audio (US)

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Noun

arithmetic (uncountable)

1. The mathematics of numbers (integers, rational numbers, real numbers, or complex numbers) under the operations of addition, subtraction, multiplication, and division.

Synonyms

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

Derived terms

terms derived from the noun "arithmetic"

affine arithmetic arithmetician binary arithmetic Boolean arithmetic clock arithmetic congruence arithmetic decimal arithmetic floating-point arithmetic

fuzzy arithmetic interval arithmetic location arithmetic modular arithmetic Peano arithmetic Presburger arithmetic saturation arithmetic significance arithmetic

Translations

mathematics of numbers, etc.

• Albanian: aritmetikë (sq)
• Arabic: حساب (ar)
• Armenian: թվաբանություն (hy) (t’vabanut’yun) 
• Catalan: aritmètica
• Chinese:

  Mandarin: 算术 (suànshù)

• Czech: aritmetika (cs) f
• Dutch: aritmetica (nl) f, rekenkunde (nl) f
• Esperanto: aritmetiko (eo)
• Finnish: aritmetiikka (fi), laskuoppi (fi)
• French: arithmétique (fr) f
• German: Arithmetik (de) f
• Greek: αριθμητική (el) (arithmitikí) f 
• Hindi: अंकगणित (hi)
• Irish: uimhríocht (ga) f
• Italian: aritmetica (it) f

• Japanese: 算数 (ja) (さんすう, sansū)
• Jèrriais: caltchul m
• Macedonian: аритметика (mk) (aritmétika) f
• Marathi: अंकगणित n
• Old English: rimcræft (ang), ġerīmcræft (ang)
• Persian: حساب (fa) (hesâb)
• Polish: arytmetyka (pl) f
• Portuguese: aritmética (pt) f
• Russian: арифметика (ru) f (arifmetika)
• Spanish: aritmética (es) f
• Swedish: aritmetik (sv) c
• Tajik: ҳисоб (tg) (hisob) 
• Telugu: అంకగణితం (te) (aMkagaNitaM)
• Thai: เลขคณิต (th) (lek-ka-nit)
• Urdu: حساب (ur) (hisāb)
• Volapük: kalkulav (vo)

of or relating to arithmetic

• Albanian: aritmetik (sq)
• Armenian: թվաբանական (hy) (t’vabanakan) 
• Finnish: aritmeettinen (fi)
• French: d'arithmétique (fr), de l’arithmétique (fr)
• Greek: αριθμητικός (el) (arithmitikós) m 

• Hindi: अंकगणितीय n
• Macedonian: аритметички (mk) (aritmétički) m
• Marathi: अंकगणितीय n
• Swedish: compounds with aritmetik (sv) c
• Volapük: kalkulava (vo) (genitive), kalkulav- (vo) (in compounds)

Adjective

arithmetic (not comparable)

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

   arithmetic geometry

   • 2008, Emmanuel Kowalski, The large sieve and its applications: arithmetic geometry, random ..., page 189:

     Moreover, the latest work of Katz, involving the so-called 'Larsen alternative', provides new criteria, of a very arithmetic nature, to (almost) determine the rational monodromy group

2. (arithmetic) Of a progression, mean, etc, computed using addition rather than multiplication.

   arithmetic progression

Antonyms

• (of or relating to arithmetic): arithmetical
• (computed using addition rather than multiplication): geometric

Derived terms

terms derived from the adjective "arithmetic"

arithmetic mean arithmetic progression arithmetic series

Translations

arithmetical

• Armenian: թվաբանական (hy) (t’vabanakan) 
• Czech: aritmetický (cs) m
• Irish: uimhríochta (ga), uimhríochtúil (ga)
• Italian: aritmetico (it) m, aritmetica (it) f

• Macedonian: аритметички (mk) (aritmétički) m
• Polish: arytmetyczny f
• Russian: арифметический (ru) (arifmetičeskij)
• Swedish: aritmetisk (sv)

computed using addition rather than multiplication

• Armenian: թվաբանական (hy) (t’vabanakan) 
• Finnish: aritmeettinen (fi)
• French: arithmétique (fr)

• Macedonian: аритметички (mk) (aritmétički) m
• Russian: арифметический (ru) (arifmetičeskij)
• Swedish: aritmetisk (sv)

See also

• List of terms used in arithmetic