Addition

Not to be confused with building extensions which are also called additions.

In mathematics, addition, represented by the symbol ${\displaystyle +}$, is an operation which combines two mathematical objects together into another mathematical object of the same type, called the sum.^[1][2][3] Addition can occur with simple objects such as numbers, and more complex objects and concepts such as vectors and matrices.^[4]

Addition has several important properties. It is commutative, meaning that the order of the operands does not matter, and it is associative, meaning that when one adds more than two numbers, the order in which addition is performed does not matter (see Summation). Repeated addition of 1 is the same as counting. Addition of 0 does not change a number. Addition also obeys predictable rules concerning related operations such as subtraction and multiplication.

1. ↑ "List of Arithmetic and Common Math Symbols". Math Vault. 2020-03-17. Retrieved 2020-08-26.
2. ↑ "Addition". www.mathisfun.com. Retrieved 2020-08-26.
3. ↑ Weisstein, Eric W. "Addition". mathworld.wolfram.com. Retrieved 2020-08-26.
4. ↑ "Comprehensive List of Algebra Symbols". Math Vault. 2020-03-25. Retrieved 2020-08-26.