How many types of numbers do you know?

How many types of numbers do you know?

Number basics

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2 min read

Numbers form basis for mathematics. Though it has ten digits, 0 to 9, it is an integral part of our daily lives. We use numbers to define mobile no, bank account no, currency, time, weight, distance, speed and so many other applications. Lets have a look how many types of numbers are there which are used by different people in different applications.

The basic one is Natural Number (N) , which is a most basic type which we came to know when we started our learning as kids.

Example: \(1, 2, 3, 4, 5,\) ....

The next type is Whole Number (W), which is set of natural number including 0.

Example: \(0, 1, 2, 3,\) ....

The next important type is Integer Number (Z), which is set of whole number and negative of natural numbers.

Example: \(-1, -2, 0, 1, 2,\) ....

The next one is Rational Number (Q), which can be written in fractional, p/q form where q \(\neq\) 0.

Example: \(\frac{2}{3}\) , \(\frac{33}{7}\), ....

The similar type is Irrational Number (F), which cannot be written in fractional form.

Example: \(\sqrt{2}\), \(\sqrt{12}\), \(\pi\), ....

The set of Rational and Irrational numbers are known as Real Number (R).

Example: \(\frac{2}{3}\) , \(\frac{33}{7}\), \(\sqrt{2}\), \(\sqrt{12}\), \(\pi\), ....

The numbers other than real numbers are known as Imaginary or Complex Number (C).

Example: \(\sqrt{-2}\), \(a+bi\), \(-7+9i\)... where \(i\) = \(\sqrt{-1}\)


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