AskDefine | Define quotient

Dictionary Definition

quotient

Noun

1 the ratio of two quantities to be divided
2 the number obtained by division

User Contributed Dictionary

English

Pronunciation

  • italbrac UK: /ˈkwəʊʃənt/, /"kw@US@nt/
  • italbrac US: , /ˈkwoʊʃənt/, /"kwoUS@nt/

Etymology

From quotiens, from quoties

Noun

  1. In the context of "arithmetic": The number resulting from the division of one number by another.
    • The quotient of 12 divided by 4 is 3.
  2. In the context of "mathematics": By analogy, the result of any process that is the inverse of multiplication as defined for any mathematical entities other than numbers.
  3. In the context of "obsolete|rare": A quotum or quota.

Related terms

Translations

number resulting from division
  • Czech: podíl
  • Dutch: quotiënt
  • Finnish: osamäärä
  • French: quotient
  • German: Quotient
  • Greek: πηλίκο (pilíko)
  • Italian: quoziente
  • Japanese: (shō)
  • Portuguese: quociente
  • Swedish: kvot
result of inverse of multiplication defined for non-numerical mathematical entities
  • Dutch: quotiënt
  • Finnish: osamäärä
  • Swedish: kvot
quotum or quota
  • Dutch: quotum
  • Portuguese: cota
  • Swedish: kvot

See also

French

Etymology

From quotiens, from quoties

Noun

fr-noun m
  1. Quotient (result of a division).

Extensive Definition

In mathematics, a quotient is the result of a division. For example, when dividing 6 by 3, the quotient is 2, while 6 is called the dividend, and 3 the divisor. The quotient can also be expressed as the number of times the divisor divides into the dividend.
A quotient can also mean just the integer part of the result of dividing two integers. For example, the quotient of 13 ÷ 5 would be 2 while the remainder would be 3. For more, see the division algorithm.
In more abstract branches of mathematics, the word quotient is often used to describe sets, spaces, or algebraic structures whose elements are the equivalence classes of some equivalence relation on another set, space, or algebraic structure. See:
The quotient rule is a method for finding derivatives in calculus.
Quotients also come up in certain tests, like the IQ test, which stands for intelligence quotient. In this case, your quotient is basically your score. In recent decades, as people begin to emphasize on full personal development, other similar quotients appeared. These include moral quotient, emotional quotient, adversity quotient, creativity quotient, etc.

See also

quotient in Danish: Forhold
quotient in German: Quotient
quotient in Esperanto: Kvociento
quotient in Estonian: Jagatis
quotient in Spanish: Cociente (aritmética)
quotient in Korean: 몫
quotient in Lithuanian: Dalmuo
quotient in Dutch: Quotiënt
quotient in Simple English: Quotient
quotient in Chinese: 商數
Privacy Policy, About Us, Terms and Conditions, Contact Us
Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2
Material from Wikipedia, Wiktionary, Dict
Valid HTML 4.01 Strict, Valid CSS Level 2.1