# Integers (Definition, Operation With Examples)

In this lesson, we shall extend our number system from whole numbers to integers.

We know that if a smaller number is subtracted from the larger one, then we get a whole number. But when a larger number is subtracted from a smaller one, we get a negative number as the answer. But there are no such whole numbers to represent them. So, to represent them we extend our whole number system.

e.g. -3, -7, -20, etc are not whole numbers.

We know, the natural numbers are 1, 2, 3, 4, ... etc. and whole numbers are 0, 1, 2, 3, 4, ... etc.

## Integers

All the negative and positive number including 0 are called **integers**. eg. ... -8,-7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, ... etc.

Now, we conclude that 1, 2, 3, 4, 5, 6, ... etc. are **Positive Integers** and -1, -2, -3, -4, -5, -6, ... etc. are called **Negative Integers**.

Note:0 is an integer which is neither positive nor negative.

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