Roman Numerals

Мыслевцев А.С.

Roman numerals are a non-positional system of writing numbers with Latin letter signs: I,V,X,L,C,D and M. The system developed in ancient Italy and was used in inscriptions,documents,calendars,legion names,monuments,coins and architectural elements. In brief: - I = 1,V = 5,X = 10,L = 50,C = 100,D = 500,M = 1000; - numbers are usually read from left to right,from larger signs to smaller ones; - a smaller sign before a larger one can be subtracted: IV = 4,IX = 9,XL = 40; - the Romans had no separate sign for zero; - ancient usage was less standardized than the modern school system.

Roman numerals chart from 1 to 100

The complete chart below gives Roman numerals from 1 to 100. It uses modern normalized notation: 4 = IV, 9 = IX, 40 = XL and 90 = XC. Ancient inscriptions can use variants such as IIII instead of IV, but the chart is the standard form for learning, dates and conversion.

Converter: Arabic numbers to Roman numerals

To convert an Arabic number into Roman numerals, repeatedly take the largest possible value from M, CM, D, CD, C, XC, L, XL, X, IX, V, IV and I. Write each chosen sign from left to right.

Examples:

• 2026 = 2000 + 20 + 6 = MM + XX + VI = MMXXVI;
• 1999 = 1000 + 900 + 90 + 9 = M + CM + XC + IX = MCMXCIX;
• 944 = 900 + 40 + 4 = CM + XL + IV = CMXLIV;
• 49 = 40 + 9 = XLIX.

For values from 1 to 100, use the chart directly. The same decomposition works for larger values. This normalized converter covers 1–3999; classical Roman notation has no zero.

Converter: Roman numerals to Arabic numbers

To convert Roman numerals into an ordinary number, assign I = 1, V = 5, X = 10, L = 50, C = 100, D = 500 and M = 1000. Read from left to right: add a sign when the next sign is not larger, and subtract it when a larger sign follows.

Examples:

• XIV = 10 + (5 − 1) = 14;
• XL = 50 − 10 = 40;
• MCMXCIX = 1000 + 900 + 90 + 9 = 1999;
• MMXXVI = 2000 + 20 + 6 = 2026.

After calculating, check the form: IV is valid, while IIV and VX are not part of modern normalized notation. Ancient epigraphy contains non-standard variants that must be read in the context and date of the monument.

Quick answers: IV, IX, XL, years and centuries

IV means 4, IX means 9 and XL means 40. A Roman-numeral year writes the year itself: 2026 = MMXXVI, 1999 = MCMXCIX and 476 = CDLXXVI. A century number is ordinal: the 21st century covers 2001–2100, the 4th century covers 301–400 and the 9th century covers 801–900. Thus 2026 is written MMXXVI but belongs to the 21st century. BCE dates follow the same principle: 44 BCE = XLIV BCE and belongs to the 1st century BCE.

Writing rules

Modern school notation combines addition and subtraction. If a smaller or equal sign follows a larger sign,it is added: VI = 6,XV = 15,LX = 60. If a smaller sign stands before a larger sign,it is subtracted: IV = 4,IX = 9,XL = 40,XC = 90. Normally I,X,C and M may be repeated up to three times in a row: III = 3,XXX = 30,CCC = 300. V,L and D are not repeated. In the modern standard,subtraction is limited: I is placed before V and X,X before L and C,C before D and M. Therefore 49 is written XLIX,not IL. Ancient practice was more flexible. Roman inscriptions may show forms such as IIII instead of IV,especially on clocks,building marks and some epigraphic monuments. When reading an ancient inscription,context matters as much as modern classroom rules.

An archaeological inscription is first transcribed sign by sign and only then is its numeral normalized to modern form. IIII instead of IV and XIIII instead of XIV are normal additive variants in Roman epigraphy, not necessarily a mason's error. A numeral must not be detached from its formula: X in LEG X identifies the Tenth Legion, whereas the same sign elsewhere can be a letter or part of an abbreviation. The bone

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How to read dates

Roman numerals often appear in dates,monuments and regnal names. A convenient way to read a number is to split it into parts: - MMXXVI = MM + XX + VI = 2000 + 20 + 6 = 2026; - CDLXXVI = CD + LXX + VI = 400 + 70 + 6 = 476; - DCCLIII = D + CC + L + III = 753; - XLIV = XL + IV = 44. If the date refers to an event BCE,the numeral itself does not change: XLIV BCE means 44 BCE. It is important to remember that in the traditional year count there is no year zero between 1 BCE and 1 CE.

How to read a Roman numeral in an inscription

Use the following sequence:

1. separate the numeral group from names and abbreviations; 2. preserve the ancient spelling—such as XIIII or VIIII—before normalizing it to XIV or IX; 3. identify the word governed by the numeral: LEG (legio/legionis), COH (cohors/cohortis), ANN (annorum), STIP (stipendiorum), or M P (milia passuum); 4. only then convert the value.

The tombstone of Gnaeus Musius has ANN XXXII, STIP XV and LEG XIIII GEM: age 32, fifteen years of service, and Legio XIIII Gemina. The York tombstone of Lucius Duccius Rufinus has LEG VIIII for the Ninth Legion and ANN XXIIX for age 28. Both forms differ from modern school notation, but their meanings are fixed by the epitaphic formula. On a milestone the same sequence of signs could instead express distance, so context matters more than mechanical substitution.

Where Romans used numerals

Roman numerals appeared in official and everyday contexts. They were used for years,ordinal numbers,sums,military units,book chapters,monument inscriptions,building marks and records. On military monuments the numbers of legions are especially important: for example,Legio X,Legio XIII or Legio XXII. In everyday calculation,Romans did not rely only on written notation. They used fingers,counting boards,pebbles and abaci. Roman numerals were useful for recording a result,but they were not as convenient for written multiplication or division as a positional decimal system.

Archaeological finds show several recurring contexts:

• military dedications and tombstones—numbers of legions, cohorts and alae;
• epitaphs—age, length of service and years lived;
• milestones—distance in Roman miles and numbered imperial powers;
• building inscriptions and brick stamps—units, batches and phases of work;
• tesserae, tokens, weights and vessels—series, value, quantity or an accounting mark.

On the altars below, XXX belongs to the name Legio XXX Ulpia Victrix and I to Legio I Italica. A monument's date, a unit number and a numeral within the text are different pieces of information and must not be conflated.

Large numbers and variants

For numbers above one thousand,Romans could repeat M or use special devices. In later and medieval practice,a bar above a numeral could multiply it by one thousand: V with an overbar meant 5,000,X with an overbar meant 10,000. Epigraphy also preserves local and professional variants,so the same value may not always be written exactly as in modern tables. This matters for reenactors and readers of inscriptions: the "correct" form depends on date,place and genre of the source. For modern reference it is convenient to use the normalized system,but when working with an original monument it is better to preserve the actual form of the inscription.

Epigraphic sources for the examples

1. CIL XIII 6901; EDCS-11000956—tombstone of Gnaeus Musius, Mogontiacum/Mainz, 9–c. 37 CE: https://www.livius.org/pictures/germany/mainz-mogontiacum/mainz-museum-pieces/mainz-tombstone-of-gn-musius-standard-bearer-of-xiiii-gemina/ 2. RIB 673—tombstone of Lucius Duccius Rufinus, Eboracum/York, late 1st–early 2nd century CE: https://romaninscriptionsofbritain.org/inscriptions/673 3. EDCS-11100710—dedication to Jupiter by Martius Victor, signifer of Legio XXX Ulpia Victrix, Xanten, 230 CE: https://www.livius.org/pictures/germany/xanten-cut/xanten-vetera-ii/xanten-birten-dedication-to-jupiter-by-a-soldier-of-xxx-ulpia-victrix/ 4. Bibliothèque nationale de France / Gallica, btv1b11358348d—bone tessera lusoria, obverse and reverse.

Related topics

I. Rome and written culture - Ancient Rome - Antiquity - Wax tablet - Tessera II. Inscriptions and monuments - Roman streets - Roman temples - Trajan's Column - Roman Forum III. Where numbers appear - List of Roman legions - Legion - Roman army - Roman names

Literature

1. Georges Ifrah. The Universal History of Numbers. 2. Karl Menninger. Number Words and Number Symbols. 3. Graham Flegg. Numbers: Their History and Meaning. 4. Gordon,Arthur E. Illustrated Introduction to Latin Epigraphy. 5. Oxford Classical Dictionary. Numerals; Epigraphy. 6. Wikimedia Commons. Colosseum-Entrance LII.jpg. WarpFlyght, CC BY-SA 3.0. 7. Wikimedia Commons. Roman numerals Freigius 1582.png. Johann Thomas Freigius, 1582; public domain.