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Counting In Roman Numerals

Thursday, December 15, 2022
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Describing the associated blog post


Brief History

Roman numerals are an ancient way of writing digits that was used by people from Rome. This numbering system is considered to be one of the very first formal number systems that had widespread adoption. It was the standard way of writing numbers in Europe through the middle ages. Its widespread use in ancient times was a result of cultural and political influence by the Roman empire during its reign. Rome is said to have been founded around 850 BC, so this number system has existed for a long time.

The Roman number system has been replaced by the standard number system that we use every day (1 - 9). Roman numerals can still be found inscribed on monuments, buildings, clocks, or copyright dates on movie title screens. The large Big Ben clock in England is an example of a monument that uses Roman numerals to display time and it was constructed in 1852. You will also notice that names of monarchs and popes are usually followed by a roman numeral such as Elizabeth II, Pope Benedict XVI or Louis XIV of France.

An image of the Big Ben clock in England: An image of the Big Ben clock in England

Syntax

Roman numerals use alphabetic letters to represent a value, they don't make use of commas which means decimals cannot be represented in this number system. A writer can make use of lowercase or capital letters to represent numbers. Before the middle ages, lowercase roman numerals did not exist. In some instances, letters were substituted depending on the location of use. For example, "A" could be exchanged for "V", or "O" for "XI". I have designed a table below that lists all the important Roman numerals with their standard number system equivalent.

The Numbers

Roman Number Standard Number Written Number
I 1 One
II 2 Two
III 3 Three
IV 4 Four
V 5 Five
VI 6 Six
VII 7 Seven
VIII 8 Eight
IX 9 Nine
X 10 Ten
XI 11 Eleven
XII 12 Twelve
XIII 13 Thirteen
XIV 14 Fourteen
XV 15 Fifteen
XVI 16 Sixteen
XVII 17 Seventeen
XVIII 18 Eighteen
XIX 19 Nineteen
XX 20 Twenty
XXI 21 Twenty One
XXII 22 Twenty Two
XXIII 23 Twenty Three
XXIV 24 Twenty Four
XXV 25 Twenty Five
XXVI 26 Twenty Six
XXVII 27 Twenty Seven
XXVIII 28 Twenty Eight
XXIX 29 Twenty Nine
XXX 30 Thirty
XL 40 Forty
L 50 Fifty
LX 60 Sixty
LXX 70 Seventy
LXXX 80 Eighty
XC 90 Ninety
C 100 One Hundred
D 500 Five Hundred
M 1000 One Thousand

After going through the table, you will notice that all subsequent numbers are combinations of the preceding number and the base 10 value for numbers greater than 10. I can personally see why the standard number system needed to be established. Simple arithmetic operations prove to be very difficult with Roman numerals e.g. X plus XV equals XXV whereas today we can write 10 + 15 = 25.

I wrote this article after I carried out brief research on the history of numbers. I got to a point where I tried to understand the reason behind all the developments in mathematics and I concluded that mathematicians over the years have simply made attempts to shorten the length of written symbols for their convenience.

I hope you enjoyed reading this article and learned something from it, you are welcome to get in touch.


~ Thank you for reading


Tawanda Andrew Msengezi

Tawanda Andrew Msengezi is a Software Engineer and Technical Writer who writes all the articles on this blog. He has a Bachelor of Science in Computer Information Systems from Near East University. He is an expert in all things web development with a specific focus on frontend development. This blog contains articles about HTML, CSS, JavaScript and various other tech related content.

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