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

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        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.

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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