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Roman numerals are a numeral system that was used by ancient Rome. Numbers in this system use letters from the Latin alphabet. Currently, it uses seven symbols:[1]

The Europeans still used Roman numerals even after the fall of the Roman Empire. From the 14th century, the Europeans replaced Roman numerals with Arabic numerals. However, people still use Roman numerals to this day.

One place in which they are sometimes seen is on clock faces (the front of a clock). For example, on the clock of Big Ben, the hours from 1 to 12 are written as:

I, II, III, IV, V, VI, VII, VIII, IX, X, XI, XII

The IV and IX can be read as "one less than 5" (4) and "one less than 10" (9). On many clocks that use Roman numerals, however, 4 is written as IIII.[2]

Subtraction rule

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Instead of writing the same letter four times, a rule for subtraction is used. The letter is written once, then the next largest Roman numeral is written. When a lower number (such as I) appears before a higher one (such as V), the lower number is subtracted from the higher one. For example, 4 is not written as IIII, but instead as IV, because IV is V (5) minus I (1). The same is done for 9 - it is not written as VIIII, but instead as IX, because IX is X (10) minus I (1).

Example

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It is very easy to write a number as a Roman numeral. Simply subtract the largest possible Roman numeral as many times as possible from the number. This system will result in a valid Roman numeral, but will not take the subtraction rule into account.

1 × 1000 + 1 × 500 + 4 × 100 + 1 × 50 + 3 × 10 + 4 × 1 = 1984
M + D + CCCC + L + XXX + IIII = MDCCCCLXXXIIII

Getting the number from the numeral is equally simple, by adding the values of the symbols.

In general, the values for 5, 50, and 500 are not subtracted. Here is the same number using the subtraction rule:

1 × 1000 + (1 × 1000) - (1 × 100) + 1 × 50 + 3 × 10 + (1 × 5) - (1 × 1) = 1984
M + CM + L + XXX + IV = MCMLXXXIV

Special values

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Zero

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The number zero has its own Roman numeral, which is O. At about 727, Bede or one of his colleagues used the letter N, the abbreviation (short form) of nihil (the Latin word for "nothing").[3]

Fractions

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A semis (S) coin.

The Romans also used fractions. The most common base for fractions was 1/12, which in Latin is called uncia (ounce).

Fraction Numeral Name (nominative and genitive) Meaning
1/12 = 0.083 · Uncia, unciae "Ounce"
2/12 = 0.166 ·· or : Sextans, sextantis "Sixth"
3/12 = 0.25 ··· or Quadrans, quadrantis "Quarter"
4/12 = 0.333 ···· or Triens, trientis "Third"
5/12 = 0.416 ····· or Quincunx, quincuncis "Five-ounce" (quinque unciaequincunx)
6/12 = 0.5 S Semis, semissis "Half"
7/12 = 0.583 Septunx, septuncis "Seven-ounce" (septem unciaeseptunx)
8/12 = 0.666 S·· or S: Bes, bessis "Twice" (as in "twice a third")
9/12 = 0.75 S··· or S∴ Dodrans, dodrantis
or nonuncium, nonuncii
"Less a quarter" (de-quadransdodrans)
or "ninth ounce" (nona uncianonuncium)
10/12 = 0.833 S···· or S∷ Dextans, dextantis
or decunx, decuncis
"Less a sixth" (de-sextansdextans)
or "ten ounces" (decem unciaedecunx)
11/12 = 0.916 S····· or S⁙ Deunx, deuncis "Less an ounce" (de-unciadeunx)
12/12 = 1 I As, assis "Unit"

Large numbers

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A number of numeral systems are developed for large numbers that cannot be shown with I, V, X, L, C, D and M.

Apostrophus

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One of the systems is the apostrophus,[4] in which D is written as (500) and M is written as CIƆ (1,000).[5] In this system, an extra Ɔ means 500, and multiple extra Ɔs are used to mean 5,000, 50,000 etc.

Numeral CIƆ CIƆƆ IƆƆ CCIƆƆ CCIƆƆƆ CCIƆƆƆƆ IƆƆƆ CCCIƆƆƆ CCCIƆƆƆƆ CCCIƆƆƆƆƆ CCCIƆƆƆƆƆƆ
Value 500 1,000 1,500 5,000 10,000 10,500 15,000 50,000 100,000 100,500 105,000 150,000

Vinculum

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Another system is the vinculum, in which V, X, L, C, D and M are multiplied by 1,000 by adding an overline.

Numeral V X L C D M
Value 5,000 10,000 50,000 100,000 500,000 1,000,000

Usage

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References

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  1. Gordon, Arthur E. (1982). Illustrated Introduction to Latin Epigraphy. Berkeley: University of California Press. ISBN 0-520-05079-7. Alphabetic symbols for larger numbers, such as Q for 500,000, have also been used to various degrees of standardization.
  2. "The Mathematical Tourist : IIII versus IV on Clocks". Ivars Peterson. 4 August 2010. Retrieved 31 May 2019. Expressed as Roman numerals, the first twelve numbers are usually given as I, II, III, IV, V, VI, VII, VIII, IX, X, XI, XII. However, on many clock faces, when the numbers on the dial are in Roman numerals, IIII replaces IV.
  3. C. W. Jones, ed., Opera Didascalica, vol. 123C in Corpus Christianorum, Series Latina.
  4. "Merriam-Webster Unabridged Dictionary".
  5. Asimov, Isaac (1966). Asimov On Numbers (PDF). Pocket Books, a division of Simon & Schuster, Inc. p. 12.

Other websites

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