In math, the integers are numbers that do not contains fractions or decimals. The set includes zero, the natural numbers (counting numbers), and their additive inverses (the negative integers). Examples of integers include -5, 0, and 7.
In algebraic number theory, integers are sometimes called rational integers to distinguish them from the more general algebraic integers. In fact, (rational) integers are algebraic integers that are also rational numbers.
Integers include all whole numbers and negative numbers. 'Integer' is a Latin word which means 'whole' or 'intact'. This means integers do not include fractions or decimals. Let us learn more about integers in this article.
Integers - Definition | Meaning | Examples | What are Integers? - Cuemath
Integers can be visually represented on a number line, where zero (0) is at the center, positive integers lie on the right side, negative integers lie on the left side, and the line extends infinitely in both directions.
Like other numbers, there are 4 basic operations associated with integers: 1) Addition, 2) Subtraction, 3) Multiplication, and 4) Division. The specific rules while performing the 4 operations are discussed in their respective sections below.
The set of integers is closed, commutative, associative and has an identity under both addition and multiplication. The following table gives examples and explains what this means in plain English.
Basically, integers are used to represent situations that whole numbers are not able to represent mathematically. For examples the following are situations that require both positive and negative numbers.
Integers are the natural numbers, their negative values (opposite integers), and zero. Essentially, integers are numbers that can be written without a fractional component, such as 0, 1, -1, 2, -2, 3, -3 and so on.