# What is an integer? Explained in detail

Do you know what is an integer? As we know there are so many types of numbers in math, an integer is also one of them. Now we will learn what are those numbers which are called as integers. In numbers, first we will study what is a natural number and then we will study what are whole numbers and then we will study what are integers. Now we will deal with integers and we will know what is an integer and how to represent integers and also we will list out some integers.

## Integer definition given as:

The set of whole numbers along with negative natural numbers are called as integers.

or

The set of positive natural numbers and negative natural numbers including zero are called integers.

The above two statements we can use for defining what is an integer. Both the definitions are correct.

Integers are denoted by the letters “I” or “Z”. Some will follow “I” notation and some will follow “Z” notation to represent integers but both notations are correctly only. So no need to confuse.

Therefore,

I or Z = { …….,-7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7,……………………….} here the flower brackets represents set.

Examples:

-151, 600, 1254, 100, 478, -889,…………….are called as integers.

Note:

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

For example:

-47 is an integer but it is not a natural number.

9 is an integer and also it is a natural number

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

For example:

-1458 is not a whole number but it is an integer.

17 is an integer and also it is a whole number.

Hope you have learnt what is an integer.

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