4.2 Roman number system (Lesson 10)
Roman number system, originating in ancient Rome, was developed around 500 B.C. Roman numerals are still used today in numbered lists, clock faces, page-numbering, dates and so on.
![](images/figure/img24.jpg)
A clock face
Credit: Wikipedia
The following are the seven symbols of Roman numerals:
Symbol |
Value |
I |
1 |
V |
5 |
X |
10 |
L |
50 |
C |
100 |
D |
500 |
M |
1000 |
Number are formed from a combination of these symbols under the following rules:
- I, X, C and M can be repeated up to three times.
- When a letter is repeated two or three times, add their values up. For example, "III = 1+1+1 = 3".
- V, L and D cannot be repeated.
- If a letter needs to be repeated four times, instead use this letter preceding one of the two next larger values to indicate the subtraction. For example:
- To represent 4, don't write IIII, use IV (5 is subtracted by 1)
- To represent 9, don't write VIIII or VIV, use IX (10 is subtracted by 1)
- Groups of symbols are arranged in descending order from left to right. For example, suppose we want to represent "1997" and "2046". We represent them in Roman numerals as follows:
1997 = 1000 + 900 + 90 + 7 = M+CM+XC+VII = MCMXCVII
2046 = 2000 + 40 + 6 = MM+XL+VI = MMXLVI
An example of modern day use of Roman numerals:
![](images/figure/img25.jpg)
Year in Roman numerals
Credit: Wikipedia