An [[Additive Group]] is a [[Group]] (usually [[Abelian Group|Abelian]]) where the corresponding group [[Operation|operation]] is to be thought of like addition, and is written as $+$. >[!example] >A common example is the [[Additive Group]] of [[Integer|Integers]]: $(\Z, +)$ or the [[Additive Group]] of [[Real Numbers]] $(\R,+)$