Difference between revisions of "Division"
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==Overview== | ==Overview== | ||
| + | Since division is the inverse of multiplication then <math>a/b=a\cdot\frac{1}{b}.</math> | ||
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=== Definition === | === Definition === | ||
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=== Zero === | === Zero === | ||
| − | Division by <math>0</math> is undefined | + | Division by <math>0</math> is undefined. Equations where any values are divided by <math>0</math> will become undefined also. |
== See Also == | == See Also == | ||
Latest revision as of 08:52, 23 January 2020
In mathematics, division is an arithmetic operation which is the inverse of multiplication.
Contents
Overview
Since division is the inverse of multiplication then 
Definition
If 
and 
, then 
, where 
is the dividend, 
is the divisor, and 
is the quotient.
Process
The most common division algorithm used is with long division, a process that divides parts of numbers. Long division "breaks" up the number to make division simpler.
19
6)114
-6
54
-54
0
Conventions
If the quotient is not a whole number, it is usually written in decimal form: 
. Sometimes, it is written with its remainder: 
.
Dividing Special Numbers
Fractions
If you divide by a fraction, multiply the dividend by the divisor's reciprocal (Note: You will see a definition of a reciprocal if you go to the article Ordinary Multiplication).
For instance: 
Decimals
When dividing by decimals, multiply both sides by a power of 10 so the divisor is an integer.
For instance: 
One and Itself
Any number divided by one equals itself. Similarly, any number divided by itself equals one.
For instance: 
and 
Zero
Division by 
is undefined. Equations where any values are divided by will become undefined also.
