quotient

See also: Quotient and quotiënt

English

Etymology

From Latin quotiēns, from quotiēs.

Pronunciation

• (UK) IPA^(key): /ˈkwəʊʃənt/
• (US) enPR: kwōʹshənt, IPA^(key): /ˈkwoʊʃənt/

• Audio (US)

  (file)

Noun

quotient (plural quotients)

1. (arithmetic) The number resulting from the division of one number by another.

   The quotient of 12 divided by 4 is 3.

2. (arithmetic) The integer part of the result of such division.

   The quotient of 13 divided by 4 is 3, and the remainder is 1.

3. (mathematics) By analogy, the result of any process that is the inverse of multiplication as defined for any mathematical entities other than numbers.
4. (obsolete, rare) A quotum or quota.

Derived terms

• intelligence quotient
• quotient group

 

Related terms

• quotientive
• quotiety

 

Translations

number resulting from division

• Armenian: քանորդ (hy) (kʿanord)
• Bulgarian: частно (bg) n (častno)
• Catalan: quocient m
• Cebuano: lapa
• Chinese:

  Mandarin: 商 (zh) (shāng), 商數 (zh), 商数 (zh) (shāngshù)

• Czech: podíl (cs) m
• Danish: kvotient c
• Dutch: quotiënt (nl) n
• Finnish: osamäärä (fi)
• French: quotient (fr) m
• Georgian: განაყოფი (ganaq̇opi)
• German: Quotient (de) m
• Greek: πηλίκο (el) n (pilíko)
• Hungarian: hányados (hu)
• Icelandic: kvóti (is) m, hlutatala f
• Ido: quociento (io)
• Italian: quoziente (it) m
• Japanese: 商 (ja) (しょう, shō)

• Korean: 몫 (mok)
• Macedonian: ко́личник m (kóličnik)
• Maori: otinga, otinga wehe
• Norwegian:

  Bokmål: kvotient m

  Nynorsk: kvotient m

• Persian: خارج قسمت‎, بهر‎ (fa) (bahr)
• Polish: iloraz (pl) m
• Portuguese: quociente (pt) m
• Romanian: cât (ro) n
• Russian: ча́стное (ru) n (částnoje)
• Serbo-Croatian:

  Cyrillic: ко̀личнӣк m

  Roman: kòličnīk (sh) m

• Spanish: cociente (es) m
• Swedish: kvot (sv) c
• Tagalog: kahatian
• Turkish: bölüm (tr)

result of inverse of multiplication defined for non-numerical mathematical entities

• Bulgarian: коефициент m (koeficient)
• Dutch: quotiënt (nl) n
• Finnish: osamäärä (fi)

• Swedish: kvot (sv) c
• Tagalog: kahatian

quotum or quota

• Dutch: quotum (nl) n
• Portuguese: cota (pt) m

• Russian: часть (ru) f (častʹ), до́ля (ru) f (dólja)
• Swedish: kvot (sv) c

See also

Other terms used in arithmetic operations:

• successor
• addition, summation:

  (augend) + (addend) = (total)

  (summand) + (summand) + (summand)... = (sum)

• subtraction:

  (minuend) − (subtrahend) = (difference)

• multiplication, factorization:

  (multiplicand) × (multiplier) = (product)

  (factor) × (factor) × (factor)... = (product)

• division:

  (dividend) ÷ (divisor) = (quotient)

  (numerator) / (denominator) = (quotient)

  Or sometimes = (quotient) with (remainder) remaining

• exponentiation:

  (base) ^(exponent) = (power)

• root extraction:

  ^(degree) √ (radicand) = (root)

• logarithmization:

  log_(base) (antilogarithm) = (logarithm)

Advanced hyperoperations: tetration, pentation, hexation

Anagrams

• not quite

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French

Etymology

From Latin quotiēns, from quotiēs.

Pronunciation

• IPA^(key): /kɔ.sjɑ̃/

• Audio (Paris)

  (file)

• Audio

  (file)

Noun

quotient m (plural quotients)

1. quotient (result of a division).

Derived terms

• quotient intellectuel

Further reading

• “quotient” in Trésor de la langue française informatisé (The Digitized Treasury of the French Language).