different between quotient vs rational

English

Etymology

From Latin quoti?ns, from quoti?s.

Pronunciation

• (UK) IPA^(key): /?kw????nt/
• (US) enPR: kw??sh?nt, IPA^(key): /?kwo???nt/

Noun

quotient (plural quotients)

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

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

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

Related terms

Translations

See also

Other terms used in elementary arithmetic:

Anagrams

• not quite

French

Etymology

From Latin quoti?ns, from quoti?s.

Pronunciation

• IPA^(key): /k?.sj??/

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).

English

Alternative forms

• rationall (obsolete)

Pronunciation

• enPR: r?'sh(?)n?l, IPA^(key): /??æ?(?)n?l/

Etymology 1

From Old French rationel, rational, from Latin rationalis (“of or belonging to reason, rational, reasonable; having a ratio”), from ratio (“reason; calculation”).

Adjective

rational (comparative more rational, superlative most rational)

1. Capable of reasoning.
2. Logically sound; not contradictory or otherwise absurd.

3. (of a person or personal characteristics) Healthy or balanced intellectually; exhibiting reasonableness.
4. (mathematics, arithmetic, number theory, not comparable) Of a number, capable of being expressed as the ratio of two integers.

   ¾ is a rational number, but ?2 is an irrational number.

5. (mathematics, arithmetic, not comparable) Of an algebraic expression, capable of being expressed as the ratio of two polynomials.
6. (chemistry) Expressing the type, structure, relations, and reactions of a compound; graphic; said of formulae.
7. (physics) Expressing a physical object.

Antonyms

• (reasonable): absurd, irrational, nonsensical
• (capable of reasoning): arational, irrational, non-rational
• (number theory): irrational

Related terms

Translations

Noun

rational (plural rationals)

1. (mathematics) A rational number: a number that can be expressed as the quotient of two integers.

   The quotient of two rationals is again a rational.

Translations

Etymology 2

From Old French rational, from Medieval Latin rationale (“a pontifical stole, a pallium, an ornament worn over the chasuble”), neuter of Latin rationalis (“rational”), for which see the first etymology. Translation of ??????? (logeîon) or perhaps ?????? (lógion, “oracle”) in the Septuagint version of Exodus 28.

Noun

rational (plural rationals)

1. (historical) The breastplate worn by Israelite high priests.

Translations

References

• rational in Webster’s Revised Unabridged Dictionary, G. & C. Merriam, 1913.
• rational in The Century Dictionary, New York, N.Y.: The Century Co., 1911.

Further reading

• "rational" in Raymond Williams, Keywords (revised), 1983, Fontana Press, page 252.

Anagrams

• notarial

German

Etymology

From Latin rationalis.

Pronunciation

• IPA^(key): [??at?si?o?na?l]
• Hyphenation: ra?ti?o?nal

Adjective

rational (comparative rationaler, superlative am rationalsten)

1. rational

Declension

Further reading

• “rational” in Duden online