Brief history of Roman numerals and Arabic numbers

What are the Roman numerals?

Roman numerals are graphic symbols, ie letters, that were used in the ancient civilization of Rome and then in Europe untill the Arabic numbers were introduced, around 1300 AD. For approximately 2000 years, this was how the numbers were written in the Roman Empire and in Europe.

What are the Arabic numbers?

Numbers that we use today are the so-called Arabic numbers. Example of Arabic numbers: 1, 2, 3, 30, 2013, 5047, etc. They are called so because they entered Europe through Arab civilization, advanced at that time. Arab took the numbers from the Indian (Hindu). Indian mathematicians invented (or copied from other unknown sources) the concept of zero, non-existent in other known civilizations. Their system, very simple, yet very powerful, based on only 10 symbols (0 through 9), was on a fast track to be adopted worldwide. The Romans had no representation for zero, they used a word to replace it: "nulla".

How the Arabic numbers traveled into Europe?

It is believed that the Arabic numbers entered Europe through Spain, that was at that time a conquered territory under Arab rule, included into the Great Caliphate. These numbers traveled up here brought by the mathematicians and Arab traders coming into contact with Europeans. Also, it's very possible that Arabic numbers entered Europe through Italian merchants that were travelling frequently into the North Africa, which was also part of the Great Caliphate at that time. Arabic numbers proved to be much easier to work with than the Roman numerals, both in writing and but more when performing calculations.

Roman numerals - acrofonic numeration system

Roman numerals were taken by the Roman civilization from the Etruscan one, that existed before Romans in the Italic peninsula. The Romans adapted the alphabet's numerals according to their needs. In fact, the Etruscans themselves copied the numeration system from the Greek (who also copied it from other sources). This system was an acrofonic one - ie a system where the emphasis is on the first letter of a word. The system of representing numbers under an acrofonic numeration system takes only the first letter of the word that designate that number. For example, under the Roman system, C means 100, which is the first letter of the word that designates 100 in Latin, "Centum".

The symbols used for writing Roman numbers

At first, the symbols used under the Roman numeral system were:

  • I = 1
  • X = 10
  • C = 100
  • M = 1000

Later were added:

  • V = 5
  • L = 50
  • D = 500

Later on, for numbers larger than 4,000, Romans added a line above the existing symbols, or put the number between vertical bars, to express multiplying that number by 1,000. We will use brackets instead of vertical bars, from now on, since it is the natural way for the computer users (easy to write with), and for avoiding ambiguity between vertical bar | and the symbol for one - I. Thus, a new set of symbols was prepared to represent larger numbers, as shown below:

  • (V) = 5,000 - or a V with a bar above
  • (X) = 10,000 - or an X with a bar above
  • (L) = 50,000 - or an L with a bar above
  • (C) = 100,000 - or a C with a bar above
  • (D) = 500,000 - or a D with a bar above
  • (M) (one million) - or an M with a bar above

Examples of Roman numerals

  • I = 1, II = 2, III = 3, IV = 4, V = 5, VI = 6 = 7 VII, VIII = 8, IX = 9, X = 10
  • XI = 11, XII = 12, XIII = 13, XIV = 14, XV = 15, XVI = 16, XVII = 17, XVIII = 18, XIX = 19, XX = 20
  • XXI = 21, ..., XXVI = 26, ..., XXX = 30
  • ... XXXIII = 33, ..., XXXVIII = 38, XXXIX = 39, XL = 40
  • L = 50, LX = 60, LXX = 70, LXXX = 80, XC = 90, C = 100, etc..

Romans had no representation for zero, they used the word "nulla" instead.

Examples of Arabic numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, ..., 100, 2012, 1973897, 10899788234 etc..

Additive Forms

Besides the established forms, some other were still being used, named additives; ie for IV (four) was also used IIII (for XL, which means forty, Romans also used the additive XXXX), and for IX (nine) was also used VIIII (as for ninety, XC, they also used LXXXX). These additive forms have ceased to be used until later in Europe, especially after the advent of printed books and later on after writing standardization efforts with the Roman numerals.

How Roman numerals are used now

Around 1300, after some 2,000 years of history, Roman numerals were abandoned in favor of the more efficient Arabic numbers. But they continued to be used, in various forms, until today, to represent watch hours, dates, centuries, for numbering chapters in books, write names of leaders and monarchs, or even to make reading numbers impossible for the laymen, and so on...