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                                           Roman Numerals



            In  earlier  times,  there  were  many  numeral  systems          Remember
            like the Indian, Chinese, Arabic,  etc. Some of them
            are still in use like the Hindu-Arabic numeral system              The Roman numeral
                                                                               system does not have a
            which uses the numerals 0, 1, 2, 3, 4, 5, 6, 7, 8 and              symbol for zero.
            9. Another such system of numeration is the Roman
            numeral system.

            The Roman numeral system, developed by the Romans thousands of years ago, is
            based on seven letters of the alphabet. All the numbers are written using either one
            of the letters or combinations of letters.


            Symbols

            The seven letters used in the Roman numeral system and their corresponding values
            in Hindu-Arabic numeral system are given in the following table.


              Symbol           I           V           X            L           C            D           M


               Value          1            5           10          50          100         500         1000


            In this class we will learn only about the first three symbols, i.e., I, V and X.

            Reading Roman Numerals

            We have seen that there are symbols for numbers 1, 5, 10, 50, 100, 500 and 1000. To

            make the rest of the numbers of the Hindu-Arabic numeral system, we either add the
            numbers or subtract them according to the rules given below.

            Rule 1: When a symbol is repeated, it means the value             Remember
            of each symbol is added.  The sum is equal to the
            number formed. But, any symbol cannot be repeated                  Roman numeral V cannot
            more than 3 times.                                                 be repeated at all.

            For example, II = 1 + 1 = 2, 111 = 1 + 1 + 1 = 3,

            XX = 10 + 10 = 20, XXX = 10 + 10 + 10 = 30

            Rule 2: When a smaller symbol or symbols are written after a larger one, then their
            values are added to get the number.

            For example, VI = 5 + 1 = 6, XV = 10 + 5 = 15, VII = 5 + 1 + 1 = 7, VIII = 5 + 1 + 1 + 1 = 8,
            XIII = 10 + 1 + 1 + 1 = 13



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