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==Properties== |
==Properties== |
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* Generally, subtraction is '''not''' [[commutativity|commutative]] nor [[associativity|associative]]. |
* Generally, subtraction is '''not''' [[commutativity|commutative]] nor [[associativity|associative]]. |
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| + | * [[3]] - [[6]] <span style="color:rgb(68,68,68);font-family:arial,sans-serif;line-height:16px;font-size:small;">≠</span> 6 - 3 |
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| − | * \(3 - 6 = -3 \not= 6 - 3\) |
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==In real life.== |
==In real life.== |
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Revision as of 02:44, 18 April 2013
In arithmetic and higher mathematics, subtraction is the inverse operation of addition.
In lower-level elementary mathematics and when using signed integers in programming languages, subtracting a number from a number with lower value is undefined.
Subtraction in different fields
- Integer subtraction: a - b is equivalent to a + -b, where -b is the additive inverse of b.
- Example: 9 - 8 = 1
- Real number and complex number subtraction:
- Example: 8.2 - (5 + 2i) = 3.2 - 2i
- Matrix subtraction: A - B = A + -B
Properties
- Generally, subtraction is not commutative nor associative.
- 3 - 6 ≠ 6 - 3
In real life.
Subtraction is used in real life like addition like in computing change, calculating the amount remaining from a bank account, and many others.
Estimation
This can be done in the same way as addition.