What is Addition?
{{redirect|Add|other articles with the same name|ADD (disambiguation)}} :''Not to be confused with [[building extension]]s which are also called additions.'' [[File:Addition.gif|thumb|220px|Addition]] In [[mathematics]], '''addition''', represented by the symbol <math>+</math>, is an operation which combines two mathematical objects together into another mathematical object of the same type, called the [[sum]].<ref>{{cite web|date=2020-03-17|title=List of Arithmetic and Common Math Symbols|url=https://mathvault.ca/hub/higher-math/math-symbols/common-math-symbols/|access-date=2020-08-26|website=Math Vault|language=en-US}}</ref><ref>{{cite web|title=Addition|url=http://www.mathisfun.com/numbers/addition|access-date=2020-08-26|website=www.mathisfun.com|language=en-US}}</ref><ref>{{cite web|last=Weisstein|first=Eric W.|title=Addition|url=https://mathworld.wolfram.com/Addition.html|access-date=2020-08-26|website=mathworld.wolfram.com|language=en-US}}</ref> Addition can occur with simple objects such as [[number]]s, and more complex objects and concepts such as [[vector]]s and [[Matrix (mathematics)|matrices]].<ref>{{cite web|date=2020-03-25|title=Comprehensive List of Algebra Symbols|url=https://mathvault.ca/hub/higher-math/math-symbols/algebra-symbols/|access-date=2020-08-26|website=Math Vault|language=en-US}}</ref> Addition has several important properties. It is [[Commutative property|commutative]], meaning that the order of the [[operand]]s does not matter, and it is [[Associativity|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 (number)|1]] is the same as counting. Addition of [[0 (number)|0]] does not change a number. Addition also obeys predictable rules concerning related operations such as [[Operation (mathematics)#Subtraction|subtraction]] and [[Operation (mathematics)#Multiplication|multiplication]]. == Arithmetic == In [[arithmetic]], addition is the operation where two or more [[