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Roman numerals (Definition)

Roman numerals are a method of writing numbers employed primarily by the ancient Romans. It place of digits, the Romans used letters to represent the numbers central to the system:

$ I$ $ 1$
$ V$ $ 5$
$ X$ $ 10$
$ L$ $ 50$
$ C$ $ 100$
$ D$ $ 500$
$ M$ $ 1000$

Larger numbers can be made by writing a bar over the letter, which means one thousand times as much. For instance $ \overline{V}$ is $ 5000$.

Other numbers were written by putting letters together. For instance $ II$ means $ 2$. Larger letters go on the left, so $ LII$ is $ 52$, but $ IIL$ is not a valid Roman numeral.

One additional rule allows a letter to the left of a larger letter to signify subtracting the smaller from the larger. For instance $ IV$ is $ 4$. This can only be done once; $ 3$ is written $ III$, not $ IIV$. Also, it is generally required that the smaller letter be the one immediately smaller than the larger, so $ 1999$ is usually written $ MCMXCIX$, not $ MIM$.

It is worth noting that today it is usually considered incorrect to repeat a letter four times, so $ IV$ is preferred to $ IIII$. However many older monuments do not use the subtraction rule at all, so $ 44$ was written $ XXXXIIII$ instead of the now preferable $ XLIV$.



"Roman numerals" is owned by Koro. [ full author list (3) | owner history (2) ]
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Cross-references: subtraction, thousand, represent, digits, place
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This is version 5 of Roman numerals, born on 2002-08-20, modified 2004-04-02.
Object id is 3321, canonical name is RomanNumerals.
Accessed 9543 times total.

Classification:
AMS MSC01A20 (History and biography :: History of mathematics and mathematicians :: Greek, Roman)

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