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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