Group of rational numbers

Definition
The group of rational numbers, also called the additive group of rational numbers, is denoted as $$\mathbb{Q}$$, and is defined as follows:

It is the group whose elements are rational numbers, the group operation is addition of rational numbers, the identity element is zero, and the inverse is the negative. In the tuple notation, it is written as $$(\mathbb{Q},+,0,-)$$.