# NUMBER SYSTEM - CLASSIFICATION     OF NUMBERS; LINKS TO     VARIOUS TOPICS OF NUMBERS

Decimal Number System.

There we studied
one to Ten digit Numbers.

The Numbers (other than zero, '0'),
we have dealt with there,
are called Natural Numbers.

The study of Natural Numbers include,

Elementary Number Theory,

Prime Numbers, including

Perfect Numbers,

Divisibility Rules,

Prime Factorization, including
Fundamental Theorem of Arithmetic,

Greatest Common Factor,

Least Common Multiple.

If we combine zero '0',
with the Natural Numbers,
the Numbers are called
Whole Numbers

If we combine Negative Numbers,
with the Whole Numbers,
the Numbers are called
Integers.

in Number system.

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Then we study
Fractions including
Decimal Fractions.

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If we combine Fractions,
with the Integers,
the Numbers are called
Rational Numbers.

The Numbers which are not
rational are called
Irrational Numbers.

If we combine Rational Numbers
with Irrational Numbers,
the Numbers are called
Real Numbers.

The Numbers which are not
real are called
Imaginary Numbers.

If we combine Real Numbers
with Imaginary Numbers,
the Numbers are called
Complex Numbers.

All these Types of Numbers are
shown in the chart below which is Number system.

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### Number System Chart :        Classification of Numbers

```
Complex Numbers
-------------------
⇓                  ⇓
Real Numbers      Imaginary Numbers
---------------
⇓             ⇓
Rational Numbers       Irrational Numbers
------------------
⇓                 ⇓
Integers           Fractions
----------
⇓        ⇓
Whole Numbers  Negative Integers
--------------
⇓            ⇓
Natural Numbers      Zero ('0')

```
Carefully observe the above Number System and remember it.

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