A binary operation under which each pair of elements, called the terms of the addition, is made to correspond to a new element called the sum of these terms.

We can define an addition operation in different sets such as sets of numbers, sets of relations, sets of geometric shapes, etc.

The inverse operation of addition is subtraction.

### Properties

• Addition is a commutative operation.
Example : 58 + 55 = 55 + 58
• Addition is an associative operation.
Example : (58 + 55) + 45 = 58 + (55 + 45)
• Addition has an identity element.
Example : 58 + 0 = 0 + 58 = 58

### Example

Addition of whole numbers :  58 + 55 = 113

\begin{matrix}58 & + & 55 & = & 113\\ \textrm{Addend}&|&\textrm{Addend}&|&\textrm{Sum}\\  \space &\textrm{Plus}&\space&\textrm{Is equal to} & \space \end{matrix}