A distinct integer denotes a specific integer and is used to discern between all the others in a set. Integers refer to the spectrum of whole numbers and negative numbers, including zero. For example, -5 is a distinct integer within a collection of the integers -1 to -10.
Integers never include fractional numbers or imaginary numbers. They include the entire set of whole numbers, as well as the spectrum of negative numbers. Negative integers and positive integers are used to distinguish the integers on either side of zero. Because of these properties, integers are naturally suited to describing vectors such as displacement and velocity.