# Integers definition in math explained

Learn and know the integers definition in math. In types of numbers, after whole numbers we will study about integers. When coming to class, in class 6 or class 7 we will study about integers basics i.e. addition, multiplication, division and subtraction of integers.

Before learning what are integers, we should have known about natural numbers and whole numbers. With these two types of numbers we are going to define integers. Once you learn the definition of integers then you can understand why we need to know natural numbers and whole numbers for defining integers.

## Integers definition in math as follows:

The definition of integers in math is given as “the whole numbers (W) along with negative natural numbers are called as Integers”.

(or)

The second definition for integers in math is given as “ the positive natural numbers and negative natural numbers along with zero are called as Integers”.

The integers are denoted by the symbol “I” sometimes we use the symbol “Z” to represent the Integers.

Generally set of integers is represented by, Z or I = {….-3, -2, -1, 0, 1, 2, 3 …}

## Some important points on integers:

♦The smallest integer among all the integers is “does not exist”

♦The greatest integer among all the integers is “does not exist”

♦All the natural numbers are integers but all the integers need not be natural numbers.

For example:

The number 7 is a natural number as well as Integer. -12 is an integer only not a natural number.

♦All the whole numbers are integers but all the integers need not be whole numbers.

For example:

The number 85 is a whole number as well as Integer. -21 is an integer only which means -21 is not a whole number.

Hope that the integers topic I mean integer definition, examples and its notation is clear.