Difference between revisions of "Division"

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In [[mathematics]], '''division''' is an arithmetic [[operation]] which is the inverse of [[multiplication]].
 
In [[mathematics]], '''division''' is an arithmetic [[operation]] which is the inverse of [[multiplication]].
  
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== Definition ==
 
If <math>a=bc</math> and <math>b\ne 0</math>, then <math>\frac{a}{b}=c</math>, where <math>a</math> is the [[dividend]], <math>b</math> is the [[divisor]], and <math>c</math> is the [[quotient]].
 
If <math>a=bc</math> and <math>b\ne 0</math>, then <math>\frac{a}{b}=c</math>, where <math>a</math> is the [[dividend]], <math>b</math> is the [[divisor]], and <math>c</math> is the [[quotient]].
  
Sometimes, the quotient will not be a [[whole number]]. In this case, it is usually written out in decimal form. For example, <math>\frac{3}{2}=1.5</math>. However, it may be necessary to write the [[remainder]]: <math>\frac{3}{2}=1</math> remainder 1.
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== Conventions ==
 
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If the quotient is not a [[whole number]], it is usually written in decimal form: <math>5\div2=2.5</math>. Sometimes, it is written with its [[remainder]]: <math>5\div2=2\text{, remainder }1</math>.
When dividing by a fraction, it is easier to re-write the [[expression]] so that you are multiplying by the reciprocal of the fraction. For example, <math>4\div\frac{2}{3}=4\times\frac{3}{2}=6</math>.
 
  
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== See Also ==
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* [[Addition]]
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* [[Subtraction]]
  
 
[[Category:Definition]]
 
[[Category:Definition]]
 
[[Category:Operation]]
 
[[Category:Operation]]

Revision as of 15:44, 16 April 2008

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In mathematics, division is an arithmetic operation which is the inverse of multiplication.

Definition

If $a=bc$ and $b\ne 0$, then $\frac{a}{b}=c$, where $a$ is the dividend, $b$ is the divisor, and $c$ is the quotient.

Conventions

If the quotient is not a whole number, it is usually written in decimal form: $5\div2=2.5$. Sometimes, it is written with its remainder: $5\div2=2\text{, remainder }1$.

See Also