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Fundamental Mathematics/Arithmetic/Subtraction
==Subtraction==
:[[File:Subtraction01.svg|right|thumb|180px|"5&nbsp;&minus;&nbsp;2 = 3" (verbally, "five minus two equals three")]]
[[File:Vertical_subtraction_example.svg|right|thumb|180px|An example problem]]
In arithmetic, subtraction is one of the four basic binary operations; it is the inverse of addition, meaning that if we start with any number and add any number and then subtract the same number we added, we return to the number we started with. 
(contracted; show full)matics, it is often useful to view or even define subtraction as a kind of addition, the addition of the additive inverse. We can view 7 − 3 = 4 as the sum of two terms: 7 and -3. This perspective allows us to apply to subtraction all of the familiar rules and nomenclature of addition. Subtraction is not associative or commutative—in fact, it is anticommutative and left-associative—but addition of signed numbers is both.
==Operation==
: <math>A - B = C</math>

Where
: <math>A</math>
 - Minuend
: <math>B</math>⏎
: <math>C</math>
Since subtraction is not a commutative operator, the two operands are named. The traditional names for the parts of the formula
:c − b = a
are minuend (c) − subtrahend (b) = d - Subtrahend 
: <math>C</math> - Difference (a).

==Subtraction Rule==
*Definition: <math>a-b=a+(-b)</math> .

==Example==
* <math>4 - 4 = 0</math>
* <math>4 - 2 = 2</math>
* <math>2 - 4 = -2</math>

==Reference==
* [https://en.wikipedia.org/wiki/Subtraction Subtraction]
[[Category:Mathematical theorems]]
[[Category:Arithmetic]]