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Roman numerals

From Encyclopedia of Mathematics
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A medieval system developed from a cruder Roman system. The system of Roman numerals is based on using special symbols to denote decimal digits , , , , and their halves , , . Positive integers are written by repeating these numerals. When a letter is followed by a letter of lesser value, the values are added (addition principle), when a letter is followed by a letter of greater value, the smaller is subtracted from the larger (subtraction principle). The latter rule is only applied in order to prevent a fourfold repetition of the same letter. In this system it is rather inconvenient to carry out arithmetic operations with multi-digit numerals. At present, the Roman numerals are no longer used, except in certain cases such as the designation of centuries and years A.D. and also months when designating dates, ordinal numbers and sometimes derivatives of low order higher than three: , etc.


Comments

The cruder Roman system referred to above is as follows: was represented by between parenthesis: ; was represented by , etc. Later became . Half of it, , later became .

A partial list of Roman numerals is:'

<tbody> </tbody>
I XXX
II XL or XXXX
III L
IV or IIII LX
V LXX
VI LXXX
VII XC
VIII XCIX or IC
IX or VIIII C
X CI
XI CC
XII CCC
XIII CCCC
XIV IO or D
XV DC
XVI DCC
XVII DCCC
XVIII DCCCC
XIX CIO or M
XX CIOCIO or MM

'

<tbody> </tbody>
IOO
CCIOO
CCCIOOO
IOOOO
CCCCIOOOO

References

[a1] G. Friedlein, "Die Zahlzeichen und das elementare Rechnen der Griechen und Römer und des Christlichen Abendlandes von 7. bis 13. Jahrhundert" , Schaan, reprint (1982)
[a2] G. Ifrah, "From one to zero: a universal history of numbers" , Penguin (1987) (Translated from French)
[a3] F. Cajori, "A history of mathematical notations" , 1 , Open Court (1974)
How to Cite This Entry:
Roman numerals. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Roman_numerals&oldid=48583
This article was adapted from an original article by BSE-3 (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article