NUMBER SYSTEM - CLASSIFICATION OF NUMBERS; LINKS TO VARIOUS TOPICS OF NUMBERS
Please study
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
List of PrimeNumbers,
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.
Then we study
Fractions
including
Decimal Fractions.
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.
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')


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