Quotient


Quotient

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:
*quotient set
*quotient group
*quotient ring
*quotient space (linear algebra)
*quotient space of a topological space
*quotient object
*right quotient and left quotient (operations on formal languages)

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

* Ratio


Wikimedia Foundation. 2010.

Look at other dictionaries:

  • quotient — [ kɔsjɑ̃ ] n. m. • 1484; lat. quotie(n)s « combien de fois, autant de fois que » 1 ♦ Résultat d une division. Quotient de deux nombres, obtenu en les divisant l un par l autre. Quotient, dans un anneau commutatif A, de a par b (a, b, éléments de… …   Encyclopédie Universelle

  • quotient — QUOTIÉNT s.n. Rezultat al unei diviziuni; cât. ♢ Quotient intelectual = raport între vârsta mentală şi cea reală a unui copil; quotient respiratoriu = raport între volumul de bioxid de carbon eliminat şi cel de oxigen absorbit în acelaşi timp de… …   Dicționar Român

  • Quotient — Sm erw. fach. (15. Jh.) Neoklassische Bildung. Umbildung von l. quotiēns wie oft als das so und so oft Teilbare .    Ebenso nndl. qotiënt, ne. quotient, nfrz. quotient, nschw. kvot, nnorw. kvotient, nisl. kvóti; Quote. ✎ DF 3 (1977), 104f.… …   Etymologisches Wörterbuch der deutschen sprache

  • Quotient — Quo tient (kw[=o] shent), n. [F., fr. L. quoties how often, how many times, fr. quot how many. See {Quota}.] [1913 Webster] 1. (Arith.) The number resulting from the division of one number by another, and showing how often a less number is… …   The Collaborative International Dictionary of English

  • quotient — Quotient. s. m. Terme d Arithmetique. Nombre qui resulte de la division d un nombre par un autre. Le quotient du nombre douze divisé par trois, est quatre, & du nombre douze divisé par quatre, est trois …   Dictionnaire de l'Académie française

  • Quotient — Quotient, die durch die Division gefundene Zahl, s. Dividiren …   Pierer's Universal-Lexikon

  • Quotiént — (lat.), s. Division, S. 64 …   Meyers Großes Konversations-Lexikon

  • Quotiént — (lat.), s. Division …   Kleines Konversations-Lexikon

  • quotient — (n.) early 15c., from L. quotiens how many times, from quot how many, related to quis who. The Latin adverb quotiens was mistaken in Middle English for a present participle in ens …   Etymology dictionary

  • quotient — ► NOUN 1) Mathematics a result obtained by dividing one quantity by another. 2) a degree or amount of a specified quality. ORIGIN from Latin quotiens how many times , from quot how many …   English terms dictionary

  • quotient — [kwō′shənt] n. [ME quocient < L quoties, quotiens, how often, how many times < quot, how many] Math. 1. a) the result obtained when one number is divided by another b) the whole number part of this result 2. the fraction indicating this… …   English World dictionary


Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”

We are using cookies for the best presentation of our site. Continuing to use this site, you agree with this.