**Following is the Classification of various types of numbers-**

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__Natural Numbers (N)__

If N is a set of natural numbers, then we can write the set of natural numbers as N={1,2,3,4,5,6...}. So natural numbers are simply the counting numbers.__Natural Numbers (N)__

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__Whole Numbers (W)__

If w is the set of whole numbers, then whole numbers can be written as W={0,1,2,3,4...},__Whole Numbers (W)__

So it is clear that if we add 0 in the set of natural numbers then we get the set of whole numbers.

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__Integers (I)__

If we represent the set of integers by I, then we can write I={ ...-3, -2, -1, 1, 0,1, 2, 3...}__Integers (I)__

Here note that, {1,2,3...} is the set of positive integers while, {...-1, -2, -3} is the set of negative integers. But '0' is neither positive number nor negative number.

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__Rational Numbers (Q)__

Rational numbers are the numbers, that can be expressed in the form of p/q, where both p and q are integers and q is not equal to zero.__Rational Numbers (Q)__

Following are the examples of Rational numbers-

0, 4, -4, 3/4, -5/7 etc.

It is very interesting to note here that between any two rational numbers, there exist infinite number of rational numbers.

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__Irrational Numbers__

Non recurring and non terminating decimals are called has irrational numbers. Unlike rational numbers, irrational numbers cannot be expressed in the form of p/q. __Irrational Numbers__

Irrational numbers are all the real numbers which are not rational numbers.

Some examples of irrational numbers are-

√3, √5, √7, √29...

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Real Numbers__

On combining rational numbers and irrational numbers we get set of real numbers.__Real Numbers__

In other words, a real number is a value of a continuous quantity that can represent a distance along a line.

Ex. 2, -3, 3/4, √3, √5...

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__Imaginary Numbers__

It is a complex number that can be written as a real number multiplied by the imaginary unit i (iota).__Imaginary Numbers__

Here i=√-1

Please note that 0 is both a real number and an imaginary number.

Examples of imaginary numbers

3i, 5i, ...

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__Complex Numbers (C)__

Complex numbers include real numbers, imaginary numbers, and also the sums and differences of real numbers and imaginary numbers.__Complex Numbers (C)__

Complex number can be expressed in the form of a+ib

Here a and b are real numbers and i=√-1

ex- 4, -7, 5/8, 3i, 8i etc

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