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IEVref: | 102-01-21 | ID: | |

Language: | en | Status: Standard | |

Term: | division | ||

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Definition: | operation performed on a set for which a commutative multiplication is defined, the result of which, for elements a and b of the set, is the unique element q, if it exists in the set, such that $b\cdot q=a$Note 1 to entry: Division is defined for rational numbers and extended to other classes of numbers, except the division by zero, and to mathematical entities such as polynomials, and also to quantities and units. Note 2 to entry: In a division $a/b$, the first element Note 3 to entry: The division of entities | ||

Publication date: | 2008-08 | ||

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Internal notes: | 2017-02-20: Editorial revisions in accordance with the information provided in C00019 (IEV 102) - evaluation. JGO | ||

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Note 1 to entry: Division is defined for rational numbers and extended to other classes of numbers, except the division by zero, and to mathematical entities such as polynomials, and also to quantities and units.

Note 2 to entry: In a division $a/b$, the first element *a* is called "dividend" and the second is called "divisor".

Note 3 to entry: The division of entities *a* and *b* is expressed by the words "*a* divided by *b*" or "*a* by *b*" and denoted by $\frac{a}{b}$, $a/b$ or $a{b}^{-1}$.