# What are the different types of integers? (with photo)

Integers are sometimes called “whole numbers”, referring to the fact that an integer represents a number without a fraction or decimal.

There are several different ways to look at integers, and therefore several different ways to sort them into types. Integers are sometimes called “whole numbers”, referring to the fact that an integer represents a number without a fraction or decimal. These numbers can be plotted on a number line and are not abstract, like so-called “irrational numbers”. Three, for example, is a whole number, while 5.87 is not, because it’s represented by a decimal, and it’s not even ¾. π is an example of an irrational number.

One thing to be aware of when discussing whole numbers is that the terminology around these numbers is not standardized in the math community. People may use the same term to refer to different sets of numbers, for example. For wise GEEK readers in a math class, it is advisable to follow the definition being used by the instructor.

A common grouping is the non-negative or positive integers from the set {1, 2, 3 …}. This set extends to infinity, for those who have free time and like to count. Some people also include 0 in this set, although 0 is technically neither positive nor negative, for the set {0, 1, 2, 3…}. People may also use the term “natural numbers” to refer to the set of all positive numbers, with some people including the number zero in this term while others do not.

Another type of integer is a negative integer. Negative integers are found in the set {-1, -2, -3 …}. The set of negative numbers is also infinite in nature. An example of a negative integer could be a number such as -37 or -9,520.