# Difference between revisions of "Addition"

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− | '''Addition''' is the mathematical [[operation]] which combines two quantities. The result of addition is called [[sum|a sum]]. For example, the sum of 3 and 2 is 5 because <math>3+2=5</math>. | + | '''Addition''' is the mathematical [[operation]] (it is represented by the <math>+</math> sign) which combines two quantities. The result of addition is called [[sum|a sum]]. For example, the sum of 3 and 2 is 5 because <math>3+2=5</math>. |

== Notation == | == Notation == |

## Revision as of 18:28, 30 December 2010

**Addition** is the mathematical operation (it is represented by the sign) which combines two quantities. The result of addition is called a sum. For example, the sum of 3 and 2 is 5 because .

## Notation

The sum of two numbers and is denoted , which is read "a plus b." The sum of , where is a function, is denoted . (See also Sigma notation)

## Properties

- Commutativity: The sum is equivalent to .
- Associativity: The sum is equivalent to . This sum is usually denoted .
- Closure: If and are both elements of , then is an element of . This is also the case with , , and .
- Identity: for any complex number .
- Inverse: The sum of a number and its additive inverse, , is equal to zero.
- Equality: If , then .
- If is real and is positive, .
- The sum of a number and its Complex conjugate is a real number.
- (See also Subtraction)

## See also

*This article is a stub. Help us out by expanding it.*