Dictionary Definition
quotient
Noun
1 the ratio of two quantities to be divided
2 the number obtained by division
User Contributed Dictionary
English
Noun
- 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.
- 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.
- In the context of "obsolete|rare": A quotum or quota.
Derived terms
Related terms
Translations
number resulting from division
- Czech: podíl
- Dutch: quotiënt
- Finnish: osamäärä
- French: quotient
- German: Quotient
- Greek: πηλίκο (pilíko)
- Italian: quoziente
- Japanese: 商 (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
French
Noun
fr-noun m- 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:
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