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**Roman numerals** are a numeral system that originated in ancient Rome and remained the usual way of writing numbers throughout Europe well into the Late Middle Ages. Numbers are written with combinations of letters from the Latin alphabet, each letter with a fixed integer value. Modern style uses only these seven:

- Description
- Standard form
- Other forms
- Zero
- Fractions
- Large numbers
- Origin
- Etruscan numerals
- Early Roman numerals
- Classical Roman numerals
- Use in the Middle Ages and Renaissance
- Modern use
- Specific disciplines
- Modern use in European languages other than English
- Unicode
- See also
- References
- Notes
- Citations
- Sources
- Further reading
- External links

I | V | X | L | C | D | M |

1 | 5 | 10 | 50 | 100 | 500 | 1000 |

The use of Roman numerals continued long after the decline of the Roman Empire. From the 14th century on, Roman numerals began to be replaced by Arabic numerals; however, this process was gradual, and the use of Roman numerals persists in some applications to this day.

One place they are often seen is on clock faces. For instance, on the clock of Big Ben (designed in 1852), the hours from 1 to 12 are written as:

The notations IV and IX can be read as "one less than five" (4) and "one less than ten" (9), although there is a tradition favouring representation of "4" as "IIII" on Roman numeral clocks.^{ [1] }

Other common uses include year numbers on monuments and buildings and copyright dates on the title screens of movies and television programs. MCM, signifying "a thousand, and a hundred less than another thousand", means 1900, so 1912 is written MCMXII. For the years of the current (21st) century, MM indicates 2000. The current year is MMXXIV (2024).

Roman numerals use different symbols for each power of ten and there is no zero symbol, in contrast with the place value notation of Arabic numerals (in which place-keeping zeros enable the same digit to represent different powers of ten).

This allows some flexibility in notation, and there has never been an official or universally accepted standard for Roman numerals. Usage varied greatly in ancient Rome and became thoroughly chaotic in medieval times. Even the more recent restoration of a largely "classical" notation has failed to produce total consistency: variant forms are even defended by some modern writers as offering improved "flexibility".^{ [2] } On the other hand, especially where a Roman numeral is considered a legally binding expression of a number, as in U.S. Copyright law (where an "incorrect" or ambiguous numeral may invalidate a copyright claim, or affect the termination date of the copyright period)^{ [3] } it is desirable to strictly follow the usual style described below.

The following table displays how Roman numerals are usually written:^{ [4] }

Thousands | Hundreds | Tens | Units | |
---|---|---|---|---|

1 | M | C | X | I |

2 | MM | CC | XX | II |

3 | MMM | CCC | XXX | III |

4 | CD | XL | IV | |

5 | D | L | V | |

6 | DC | LX | VI | |

7 | DCC | LXX | VII | |

8 | DCCC | LXXX | VIII | |

9 | CM | XC | IX |

The numerals for 4 (IV) and 9 (IX) are written using subtractive notation,^{ [5] } where the smaller symbol (I) is *subtracted* from the larger one (V, or X), thus avoiding the clumsier IIII and VIIII.^{ [lower-alpha 1] } Subtractive notation is also used for 40 (XL), 90 (XC), 400 (CD) and 900 (CM).^{ [6] } These are the only subtractive forms in standard use.

A number containing two or more decimal digits is built by appending the Roman numeral equivalent for each, from highest to lowest, as in the following examples:

- 39 = XXX + IX =
**XXXIX**. - 246 = CC + XL + VI =
**CCXLVI**. - 789 = DCC + LXXX + IX =
**DCCLXXXIX**. - 2,421 = MM + CD + XX + I =
**MMCDXXI**.

Any missing place (represented by a zero in the place-value equivalent) is omitted, as in Latin (and English) speech:

- 160 = C + LX =
**CLX** - 207 = CC + VII =
**CCVII** - 1,009 = M + IX =
**MIX** - 1,066 = M + LX + VI =
**MLXVI**^{ [7] }^{ [8] }

The largest number that can be represented in this manner is 3,999 (**MMMCMXCIX**), but this is sufficient for the values for which Roman numerals are commonly used today, such as year numbers:

- 1776 = M + DCC + LXX + VI =
**MDCCLXXVI**(the date written on the book held by the Statue of Liberty). - 1918 = M + CM + X + VIII =
**MCMXVIII**(the first year of the Spanish flu pandemic) - 1944 = M + CM + XL + IV =
**MCMXLIV**(erroneous copyright notice of the 1954 movie*The Last Time I Saw Paris*)^{ [3] } - 2024 =
**MMXXIV**(this year)^{ [lower-alpha 2] }

Prior to the introduction of Arabic numerals in the West, ancient and medieval users of Roman numerals used various means to write larger numbers; see large numbers below.

Forms exist that vary in one way or another from the general standard represented above.

While subtractive notation for 4, 40 and 400 (IV, XL and CD) has been the usual form since Roman times, additive notation to represent these numbers (IIII, XXXX and CCCC)^{ [9] } continued to be used, including in compound numbers like 24 (XXIIII),^{ [10] } 74 (LXXIIII),^{ [11] } and 490 (CCCCLXXXX).^{ [12] } The additive forms for 9, 90, and 900 (VIIII,^{ [9] }LXXXX,^{ [13] } and DCCCC^{ [14] }) have also been used, although less often.

The two conventions could be mixed in the same document or inscription, even in the same numeral. For example, on the numbered gates to the Colosseum, IIII is systematically used instead of IV, but subtractive notation is used for XL; consequently, gate 44 is labelled XLIIII.^{ [15] }^{ [16] }

Modern clock faces that use Roman numerals still very often use IIII for four o'clock but IX for nine o'clock, a practice that goes back to very early clocks such as the Wells Cathedral clock of the late 14th century.^{ [17] }^{ [18] }^{ [19] } However, this is far from universal: for example, the clock on the Palace of Westminster tower (commonly known as Big Ben) uses a subtractive IV for 4 o'clock.^{ [18] }^{ [lower-alpha 3] }

Several monumental inscriptions created in the early 20th century use variant forms for "1900" (usually written MCM). These vary from MDCCCCX for 1910 as seen on Admiralty Arch, London, to the more unusual, if not unique MDCDIII for 1903, on the north entrance to the Saint Louis Art Museum.^{ [21] }

Especially on tombstones and other funerary inscriptions 5 and 50 have been occasionally written IIIII and XXXXX instead of V and L, and there are instances such as IIIIII and XXXXXX rather than VI or LX.^{ [22] }^{ [23] }

There are numerous historical examples of IIX being used for 8; for example, XIIX was used by officers of the XVIII Roman Legion to write their number.^{ [24] }^{ [25] } The notation appears prominently on the cenotaph of their senior centurion Marcus Caelius (c. 45 BC – 9 AD). On the publicly displayed official Roman calendars known as Fasti, XIIX is used for the 18 days to the next Kalends, and XXIIX for the 28 days in February. The latter can be seen on the sole extant pre-Julian calendar, the Fasti Antiates Maiores.^{ [26] } There are historical examples of other subtractive forms: IIIXX for 17,^{ [27] }IIXX for 18,^{ [28] }IIIC for 97,^{ [29] }IIC for 98,^{ [30] }^{ [31] } and IC for 99.^{ [32] } A possible explanation is that the word for 18 in Latin is *duodeviginti*, literally "two from twenty", 98 is *duodecentum* (two from hundred), and 99 is *undecentum* (one from hundred).^{ [33] } However, the explanation does not seem to apply to IIIXX and IIIC, since the Latin words for 17 and 97 were *septendecim* (seven ten) and *nonaginta septem* (ninety seven), respectively.

The `ROMAN()`

function in Microsoft Excel supports multiple subtraction modes depending on the "Form" setting. For example, the number "499" (usually CDXCIX) can be rendered as LDVLIV, XDIX, VDIV or ID. The relevant Microsoft help page offers no explanation for this function other than to describe its output as "more concise".^{ [34] }

There are also historical examples of other additive and multiplicative forms, and forms which seem to reflect spoken phrases. Some of these variants may have been regarded as errors even by contemporaries.

- IIXX was how people associated with the XXII Roman Legion used to write their number. The practice may have been due to a common way to say "twenty-second" in Latin, namely
*duo et vice(n)sima*(literally "two and twentieth") rather than the "regular"*vice(n)sima secunda*(twenty second).^{ [36] }Apparently, at least one ancient stonecutter mistakenly thought that the IIXX of "22nd Legion" stood for 18, and "corrected" it to XVIII.^{ [36] } - There are some examples of year numbers after 1000 written as two Roman numerals 1–99, e.g. 1613 as XVIXIII, corresponding to the common reading "sixteen thirteen" of such year numbers in English, or 1519 as XXIX as in French
*quinze-cent-dix-neuf*(fifteen-hundred and nineteen), and similar readings in other languages.^{ [37] } - In some French texts from the 15th century and later, one finds constructions like IIII
^{XX}XIX for 99, reflecting the French reading of that number as*quatre-vingt-dix-neuf*(four-score and nineteen).^{ [37] }Similarly, in some English documents one finds, for example, 77 written as "iii^{xx}xvii" (which could be read "three-score and seventeen").^{ [38] } - A medieval accounting text from 1301 renders numbers like 13,573 as "XIII. M. V. C. III. XX. XIII", that is, "13×1000 + 5×100 + 3×20 + 13".
^{ [39] } - Other numerals that do not fit the usual patterns – such as VXL for 45, instead of the usual XLV — may be due to scribal errors, or the writer's lack of familiarity with the system, rather than being genuine variant usage.

As Roman numerals are composed of ordinary alphabetic characters, there may sometimes be confusion with other uses of the same letters. For example, "XXX" and "XL" have other connotations in addition to their values as Roman numerals, while "IXL" more often than not is a gramogram of "I excel", and is in any case not an unambiguous Roman numeral.^{ [40] }

As a non-positional numeral system, Roman numerals have no "place-keeping" zeros. Furthermore, the system as used by the Romans lacked a numeral for the number zero itself (that is, what remains after 1 is subtracted from 1). The word * nulla * (the Latin word meaning "none") was used to represent 0, although the earliest attested instances are medieval. For instance Dionysius Exiguus used *nulla* alongside Roman numerals in a manuscript from 525 AD.^{ [41] }^{ [42] } About 725, Bede or one of his colleagues used the letter N, the initial of *nulla* or of * nihil * (the Latin word for "nothing") for 0, in a table of epacts, all written in Roman numerals.^{ [43] }

The use of N to indicate "none" long survived in the historic apothecaries' system of measurement: used well into the 20th century to designate quantities in pharmaceutical prescriptions.^{ [44] }

The base "Roman fraction" is S, indicating 1⁄2. The use of S (as in VIIS to indicate 71⁄2) is attested in some ancient inscriptions^{ [45] } and also in the now rare apothecaries' system (usually in the form SS):^{ [44] } but while Roman numerals for whole numbers are essentially decimal, S does not correspond to 5⁄10, as one might expect, but 6⁄12.

The Romans used a duodecimal rather than a decimal system for fractions, as the divisibility of twelve (12 = 2^{2} × 3) makes it easier to handle the common fractions of 1⁄3 and 1⁄4 than does a system based on ten (10 = 2 × 5). Notation for fractions other than 1⁄2 is mainly found on surviving Roman coins, many of which had values that were duodecimal fractions of the unit * as *. Fractions less than 1⁄2 are indicated by a dot (**·**) for each *uncia* "twelfth", the source of the English words *inch* and *ounce*; dots are repeated for fractions up to five twelfths. Six twelfths (one half), is S for *semis* "half". *Uncia* dots were added to S for fractions from seven to eleven twelfths, just as tallies were added to V for whole numbers from six to nine.^{ [46] } The arrangement of the dots was variable and not necessarily linear. Five dots arranged like (**⁙**) (as on the face of a die) are known as a quincunx, from the name of the Roman fraction/coin. The Latin words *sextans* and *quadrans* are the source of the English words * sextant * and * quadrant *.

Each fraction from 1⁄12 to 12⁄12 had a name in Roman times; these corresponded to the names of the related coins:

Fraction | Roman numeral | Name (nominative and genitive singular) | Meaning |
---|---|---|---|

1⁄12 | · | Uncia, unciae | "Ounce" |

2⁄12 = 1⁄6 | ·· or : | Sextans, sextantis | "Sixth" |

3⁄12 = 1⁄4 | ··· or ∴ | Quadrans, quadrantis | "Quarter" |

4⁄12 = 1⁄3 | ···· or ∷ | Triens, trientis | "Third" |

5⁄12 | ····· or ⁙ | Quincunx, quincuncis | "Five-ounce" (quinque unciae → quincunx) |

6⁄12 = 1⁄2 | S | Semis, semissis | "Half" |

7⁄12 | S· | Septunx, septuncis | "Seven-ounce" (septem unciae → septunx) |

8⁄12 = 2⁄3 | S·· or S: | Bes, bessis | "Twice" (as in "twice a third") |

9⁄12 = 3⁄4 | S··· or S∴ | Dodrans, dodrantisornonuncium, nonuncii | "Less a quarter" (de-quadrans → dodrans)or "ninth ounce" (nona uncia → nonuncium) |

10⁄12 = 5⁄6 | S···· or S∷ | Dextans, dextantisordecunx, decuncis | "Less a sixth" (de-sextans → dextans)or "ten ounces" (decem unciae → decunx) |

11⁄12 | S····· or S⁙ | Deunx, deuncis | "Less an ounce" (de-uncia → deunx) |

12⁄12 = 1 | I | As, assis | "Unit" |

Other Roman fractional notations included the following:

Fraction | Roman numeral | Name (nominative and genitive singular) | Meaning |
---|---|---|---|

1⁄1728=12^{−3} | 𐆕 | Siliqua, siliquae | |

1⁄288 | ℈ | Scripulum, scripuli | "scruple" |

1⁄144=12^{−2} | Dimidia sextula, dimidiae sextulae | "half a sextula" | |

1⁄72 | Ƨ | Sextula, sextulae | "1⁄6 of an uncia" |

1⁄48 | Ↄ | Sicilicus, sicilici | |

1⁄36 | ƧƧ | Binae sextulae, binarum sextularum(Exceptionally, these are plural forms.) | "two sextulas" ( duella, duellae) |

1⁄24 | Σ or 𐆒 or Є | Semuncia, semunciae | "1⁄2 uncia" (semi- + uncia) |

1⁄8 | Σ· or 𐆒· or Є· | Sescuncia, sescunciae | "1+1⁄2 uncias" ( sesqui- + uncia) |

The Romans developed two main ways of writing large numbers, the *apostrophus* and the *vinculum*, further extended in various ways in later times.

Using the *apostrophus* method,^{ [47] } 500 is written as IↃ, while 1,000 is written as CIↃ.^{ [20] } This system of encasing numbers to denote thousands (imagine the Cs and Ↄs as parentheses) had its origins in Etruscan numeral usage.

Each additional set of C and Ↄ surrounding CIↃ raises the value by a factor of ten: CCIↃↃ represents 10,000 and CCCIↃↃↃ represents 100,000. Similarly, each additional Ↄ to the right of IↃ raises the value by a factor of ten: IↃↃ represents 5,000 and IↃↃↃ represents 50,000. Numerals larger than CCCIↃↃↃ do not occur.^{ [48] }

**IↃ**= 500**CIↃ**= 1,000**IↃↃ**= 5,000**CCIↃↃ**= 10,000**IↃↃↃ**= 50,000**CCCIↃↃↃ**= 100,000

Sometimes CIↃ (1000) is reduced to ↀ, IↃↃ (5,000) to ↁ; CCIↃↃ (10,000) to ↂ; IↃↃↃ (50,000) to ↇ; and CCCIↃↃↃ (100,000) to ↈ.^{ [49] } It is likely IↃ (500) reduced to D and CIↃ (1000) influenced the later M.

John Wallis is often credited with introducing the symbol for infinity ⟨∞⟩, and one conjecture is that he based it on ↀ, since 1,000 was hyperbolically used to represent very large numbers.

Using the * vinculum *, conventional Roman numerals are multiplied by 1,000 by adding a "bar" or "overline", thus:^{ [49] }

**IV**= 4,000**XXV**= 25,000

The *vinculum *came into use in the late Republic,^{ [50] } and it was a common alternative to the apostrophic ↀ during the Imperial era around the Roman world (M for '1000' was not in use until the Medieval period).^{ [51] }^{ [52] } It continued in use in the Middle Ages, though it became known more commonly as *titulus*,^{ [53] } and it appears in modern editions of classical and medieval Latin texts.^{ [54] }^{ [55] }

In an extension of the *vinculum*, a three-sided box (now sometimes printed as two vertical lines and a *vinculum*) is used to multiply by 100,000,^{ [56] }^{ [50] } thus:

**XIII XXXII p.**= 1,332,000 paces (1,332 Roman miles).^{ [lower-alpha 4] }^{ [55] }

*Vinculum* notation is distinct from the custom of adding an overline to a numeral simply to indicate that it is a number. Both usages can be seen on Roman inscriptions of the same period and general location, such as on the Antonine Wall.^{ [57] }^{ [58] }

The system is closely associated with the ancient city-state of Rome and the Empire that it created. However, due to the scarcity of surviving examples, the origins of the system are obscure and there are several competing theories, all largely conjectural.

Rome was founded sometime between 850 and 750 BC. At the time, the region was inhabited by diverse populations of which the Etruscans were the most advanced. The ancient Romans themselves admitted that the basis of much of their civilization was Etruscan. Rome itself was located next to the southern edge of the Etruscan domain, which covered a large part of north-central Italy.

The Roman numerals, in particular, are directly derived from the Etruscan number symbols: ⟨𐌠⟩, ⟨𐌡⟩, ⟨𐌢⟩, ⟨𐌣⟩, and ⟨𐌟⟩ for 1, 5, 10, 50, and 100 (they had more symbols for larger numbers, but it is unknown which symbol represents which number). As in the basic Roman system, the Etruscans wrote the symbols that added to the desired number, from higher to lower value. Thus, the number 87, for example, would be written 50 + 10 + 10 + 10 + 5 + 1 + 1 = 𐌣𐌢𐌢𐌢𐌡𐌠𐌠 (this would appear as 𐌠𐌠𐌡𐌢𐌢𐌢𐌣 since Etruscan was written from right to left.)^{ [59] }

The symbols ⟨𐌠⟩ and ⟨𐌡⟩ resembled letters of the Etruscan alphabet, but ⟨𐌢⟩, ⟨𐌣⟩, and ⟨𐌟⟩ did not. The Etruscans used the subtractive notation, too, but not like the Romans. They wrote 17, 18, and 19 as 𐌠𐌠𐌠𐌢𐌢, 𐌠𐌠𐌢𐌢, and 𐌠𐌢𐌢, mirroring the way they spoke those numbers ("three from twenty", etc.); and similarly for 27, 28, 29, 37, 38, etc. However, they did not write 𐌠𐌡 for 4 (nor 𐌢𐌣 for 40), and wrote 𐌡𐌠𐌠, 𐌡𐌠𐌠𐌠 and 𐌡𐌠𐌠𐌠𐌠 for 7, 8, and 9, respectively.^{ [59] }

The early Roman numerals for 1, 10, and 100 were the Etruscan ones: ⟨𐌠⟩, ⟨𐌢⟩, and ⟨𐌟⟩. The symbols for 5 and 50 changed from ⟨𐌡⟩ and ⟨𐌣⟩ to ⟨V⟩ and ⟨ↆ⟩ at some point. The latter had flattened to ⟨⊥⟩ (an inverted T) by the time of Augustus, and soon afterwards became identified with the graphically similar letter ⟨L⟩.^{ [48] }

The symbol for 100 was written variously as ⟨𐌟⟩ or ⟨ↃIC⟩, and was then abbreviated to ⟨Ↄ⟩ or ⟨C⟩, with ⟨C⟩ (which matched the Latin letter *C*) finally winning out. It might have helped that *C* was the initial letter of *CENTUM*, Latin for "hundred".

The numbers 500 and 1000 were denoted by V or X overlaid with a box or circle. Thus, 500 was like a Ɔ superimposed on a ⋌ or ⊢, making it look like ~~Þ~~. It became ~~D~~ or Ð by the time of Augustus, under the graphic influence of the letter D. It was later identified as the letter D; an alternative symbol for "thousand" was a CIↃ, and half of a thousand or "five hundred" is the right half of the symbol, IↃ, and this may have been converted into D.^{ [20] }

The notation for 1000 was a circled or boxed X: Ⓧ, ⊗, ⊕, and by Augustan times was partially identified with the Greek letter Φ* phi *. Over time, the symbol changed to Ψ and ↀ. The latter symbol further evolved into ∞, then ⋈, and eventually changed to M under the influence of the Latin word *mille* "thousand".^{ [48] }

According to Paul Kayser, the basic numerical symbols were I, X, 𐌟 and Φ (or ⊕) and the intermediate ones were derived by taking half of those (half an X is V, half a 𐌟 is ↆ and half a Φ/⊕ is D). Then 𐌟 and ↆ developed as mentioned above.^{ [60] }

The Colosseum was constructed in Rome in CE 72–80,^{ [61] } and while the original perimeter wall has largely disappeared, the numbered entrances from XXIII (23) to LIIII (54) survive,^{ [62] } to demonstrate that in Imperial times Roman numerals had already assumed their classical form: as largely standardised in current use. The most obvious anomaly (a common one that persisted for centuries) is the inconsistent use of subtractive notation - while XL is used for 40, IV is avoided in favour of IIII: in fact, gate 44 is labelled XLIIII.

Lower case, or *minuscule*, letters were developed in the Middle Ages, well after the demise of the Western Roman Empire, and since that time lower-case versions of Roman numbers have also been commonly used: i, ii, iii, iv, and so on.

Since the Middle Ages, a "j" has sometimes been substituted for the final "i" of a "lower-case" Roman numeral, such as "iij" for 3 or "vij" for 7. This "j" can be considered a swash variant of "i". Into the early 20th century, the use of a final "j" was still sometimes used in medical prescriptions to prevent tampering with or misinterpretation of a number after it was written.^{ [63] }

Numerals in documents and inscriptions from the Middle Ages sometimes include additional symbols, which today are called "medieval Roman numerals". Some simply substitute another letter for the standard one (such as "A" for "V", or "Q" for "D"), while others serve as abbreviations for compound numerals ("O" for "XI", or "F" for "XL"). Although they are still listed today in some dictionaries, they are long out of use.^{ [64] }

A superscript "o" (sometimes written directly above the symbol) was sometimes used as an ordinal indicator.^{ [65] }

Number | Medieval abbreviation | Notes and etymology |
---|---|---|

5 | A | Resembles an upside-down V. Also said to equal 500. |

6 | ↅ | Either from a ligature of VI, or from digamma (ϛ), the Greek numeral 6 (sometimes conflated with the στ ligature).^{ [48] } |

7 | S, Z | Presumed abbreviation of , Latin for 7.septem |

9.5 | X̷ | Scribal abbreviation, an x with a slash through it. Likewise, IX̷ represented 8.5 |

11 | O | Presumed abbreviation of , French for 11.onze |

40 | F | Presumed abbreviation of English forty. |

70 | S | Also could stand for 7, with the same derivation. |

80 | R | |

90 | N | Presumed abbreviation of , Latin for 90. (Ambiguous with N for "nothing" (nonagintanihil)). |

150 | Y | Possibly derived from the lowercase y's shape. |

151 | K | Unusual, origin unknown; also said to stand for 250.^{ [66] } |

160 | T | Possibly derived from Greek tetra, as 4 × 40 = 160. |

200 | H | Could also stand for 2 (see also 𐆙, the symbol for the dupondius). From a barring of two I's. |

250 | E | |

300 | B | |

400 | P, G | |

500 | Q | Redundant with D; abbreviates , Latin for 500. Also sometimes used for 500,000.quingenti^{ [67] } |

800 | Ω | Borrowed from Gothic. |

900 | ϡ | Borrowed from Gothic. |

2000 | Z |

Chronograms, messages with dates encoded into them, were popular during the Renaissance era. The chronogram would be a phrase containing the letters I, V, X, L, C, D, and M. By putting these letters together, the reader would obtain a number, usually indicating a particular year.

By the 11th century, Arabic numerals had been introduced into Europe from al-Andalus, by way of Arab traders and arithmetic treatises. Roman numerals, however, proved very persistent, remaining in common use in the West well into the 14th and 15th centuries, even in accounting and other business records (where the actual calculations would have been made using an abacus). Replacement by their more convenient "Arabic" equivalents was quite gradual, and Roman numerals are still used today in certain contexts. A few examples of their current use are:

- Names of monarchs and popes, e.g. Elizabeth II of the United Kingdom, Pope Benedict XVI. These are referred to as regnal numbers and are usually read as ordinals; e.g. II is pronounced "the second". This tradition began in Europe sporadically in the Middle Ages, gaining widespread use in England during the reign of Henry VIII. Previously, the monarch was not known by numeral but by an epithet such as Edward the Confessor. Some monarchs (e.g. Charles IV of Spain, Louis XIV of France and William IV of Great Britain) seem to have preferred the use of IIII instead of IV on their coinage (see illustration).
- Generational suffixes, particularly in the U.S., for people sharing the same name across generations, such as William Howard Taft IV. These are also usually read as ordinals.
- In the French Republican Calendar, initiated during the French Revolution, years were numbered by Roman numerals – from the year I (1792) when this calendar was introduced to the year XIV (1805) when it was abandoned.
- The year of production of films, television shows and other works of art within the work itself. Outside reference to the work will use regular Arabic numerals.
- Hour marks on timepieces. In this context, 4 is often written IIII.
- The year of construction on building façades and cornerstones.
- Page numbering of prefaces and introductions of books, and sometimes of appendices and annexes, too.
- Book volume and chapter numbers, as well as the several acts within a play (e.g. Act iii, Scene 2).
- Sequels to some films, video games, and other works (as in
*Rocky II*,*Grand Theft Auto V*,*Myst III: Exile*). - Outlines that use numbers to show hierarchical relationships.
- Occurrences of a recurring grand event, for instance:
- The Summer and Winter Olympic Games (e.g. the XXI Olympic Winter Games; the Games of the XXX Olympiad).
- The Super Bowl, the annual championship game of the National Football League (e.g. Super Bowl XLII; Super Bowl 50 was a one-time exception
^{ [68] }). - WrestleMania, the annual professional wrestling event for the WWE (e.g. WrestleMania XXX). This usage has also been inconsistent.

In astronautics, United States rocket model variants are sometimes designated by Roman numerals, e.g. Titan I, Titan II, Titan III, Saturn I, Saturn V.

In astronomy, the natural satellites or "moons" of the planets are designated by capital Roman numerals appended to the planet's name. For example, Titan's designation is Saturn VI.^{ [69] }

In chemistry, Roman numerals are sometimes used to denote the groups of the periodic table, but this has officially been deprecated in favour of Arabic numerals.^{ [70] } They are also used in the IUPAC nomenclature of inorganic chemistry, for the oxidation number of cations which can take on several different positive charges. They are also used for naming phases of polymorphic crystals, such as ice.

In education, school grades (in the sense of year-groups rather than test scores) are sometimes referred to by a Roman numeral; for example, "grade IX" is sometimes seen for "grade 9".

In entomology, the broods of the thirteen- and seventeen-year periodical cicadas are identified by Roman numerals.

In graphic design stylised Roman numerals may represent numeric values.

In law, Roman numerals are commonly used to help organize legal codes as part of an alphanumeric outline.

In mathematics (including trigonometry, statistics, and calculus), when a graph includes negative numbers, its quadrants are named using I, II, III, and IV. These quadrant names signify positive numbers on both axes, negative numbers on the X axis, negative numbers on both axes, and negative numbers on the Y axis, respectively. The use of Roman numerals to designate quadrants avoids confusion, since Arabic numerals are used for the actual data represented in the graph.

In military unit designation, Roman numerals are often used to distinguish between units at different levels. This reduces possible confusion, especially when viewing operational or strategic level maps. In particular, army corps are often numbered using Roman numerals (for example, the American XVIII Airborne Corps or the Nazi III Panzerkorps) with Arabic numerals being used for divisions and armies.

In music, Roman numerals are used in several contexts:

- Movements are often numbered using Roman numerals.
- In Roman numeral analysis, harmonic function is identified using Roman numerals.
- Individual strings of stringed instruments, such as the violin, are often denoted by Roman numerals, with higher numbers denoting lower strings.

In pharmacy, Roman numerals were used with the now largely obsolete apothecaries' system of measurement: including SS to denote "one half" and N to denote "zero".^{ [44] }^{ [71] }

In photography, Roman numerals (with zero) are used to denote varying levels of brightness when using the Zone System.

In seismology, Roman numerals are used to designate degrees of the Mercalli intensity scale of earthquakes.

In sport the team containing the "top" players and representing a nation or province, a club or a school at the highest level in (say) rugby union is often called the "1st XV", while a lower-ranking cricket or American football team might be the "3rd XI".

In tarot, Roman numerals (with zero) are often used to denote the cards of the Major Arcana.

In theology and biblical scholarship, the Septuagint is often referred to as LXX, as this translation of the Old Testament into Greek is named for the legendary number of its translators (*septuaginta* being Latin for "seventy").

Some uses that are rare or never seen in English speaking countries may be relatively common in parts of continental Europe and in other regions (e.g. Latin America) that use a European language other than English. For instance:

Capital or small capital Roman numerals are widely used in Romance languages to denote **centuries**, e.g. the French *XVIII ^{e} siècle*

Mixed Roman and Arabic numerals are sometimes used in numeric representations of dates (especially in formal letters and official documents, but also on tombstones). The **month** is written in Roman numerals, while the day is in Arabic numerals: "4.VI.1789" and "VI.4.1789" both refer unambiguously to 4 June 1789.

Roman numerals are sometimes used to represent the **days of the week** in hours-of-operation signs displayed in windows or on doors of businesses,^{ [73] } and also sometimes in railway and bus timetables. Monday, taken as the first day of the week, is represented by I. Sunday is represented by VII. The hours of operation signs are tables composed of two columns where the left column is the day of the week in Roman numerals and the right column is a range of hours of operation from starting time to closing time. In the example case (left), the business opens from 10 AM to 7 PM on weekdays, 10 AM to 5 PM on Saturdays and is closed on Sundays. Note that the listing uses 24-hour time.

Roman numerals may also be used for floor numbering.^{ [74] }^{ [75] } For instance, apartments in central Amsterdam are indicated as 138-III, with both an Arabic numeral (number of the block or house) and a Roman numeral (floor number). The apartment on the ground floor is indicated as *138-huis*.

In Italy, where roads outside built-up areas have kilometre signs, major roads and motorways also mark 100-metre subdivisionals, using Roman numerals from I to IX for the smaller intervals. The sign IX/17 thus marks 17.9 km.

Certain romance-speaking countries use Roman numerals to designate assemblies of their national legislatures. For instance, the composition of the Italian Parliament from 2018 to 2022 (elected in the 2018 Italian general election) is called the XVIII Legislature of the Italian Republic (or more commonly the "XVIII Legislature").

A notable exception to the use of Roman numerals in Europe is in Greece, where Greek numerals (based on the Greek alphabet) are generally used in contexts where Roman numerals would be used elsewhere.

The "Number Forms" block of the Unicode computer character set standard has a number of Roman numeral symbols in the range of code points from U+2160 to U+2188.^{ [76] } This range includes both upper- and lowercase numerals, as well as pre-combined characters for numbers up to 12 (Ⅻ or XII). One justification for the existence of pre-combined numbers is to facilitate the setting of multiple-letter numbers (such as VIII) on a single horizontal line in Asian vertical text. The Unicode standard, however, includes special Roman numeral code points for compatibility only, stating that "[f]or most purposes, it is preferable to compose the Roman numerals from sequences of the appropriate Latin letters".^{ [77] } The block also includes some *apostrophus* symbols for large numbers, an old variant of "L" (50) similar to the Etruscan character, the Claudian letter "reversed C", etc.^{ [78] }

The **decimal** numeral system is the standard system for denoting integer and non-integer numbers. It is the extension to non-integer numbers of the Hindu–Arabic numeral system. The way of denoting numbers in the decimal system is often referred to as *decimal notation*.

A **numeral system** is a writing system for expressing numbers; that is, a mathematical notation for representing numbers of a given set, using digits or other symbols in a consistent manner.

A **number** is a mathematical object used to count, measure, and label. The most basic examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words. More universally, individual numbers can be represented by symbols, called *numerals*; for example, "5" is a numeral that represents the number five. As only a relatively small number of symbols can be memorized, basic numerals are commonly organized in a numeral system, which is an organized way to represent any number. The most common numeral system is the Hindu–Arabic numeral system, which allows for the representation of any non-negative integer using a combination of ten fundamental numeric symbols, called digits. In addition to their use in counting and measuring, numerals are often used for labels, for ordering, and for codes. In common usage, a *numeral* is not clearly distinguished from the *number* that it represents.

**0** (**zero**) is a number representing an empty quantity. Adding 0 to any number leaves that number unchanged. In mathematical terminology, 0 is the additive identity of the integers, rational numbers, real numbers, and complex numbers, as well as other algebraic structures. Multiplying any number by 0 has the result 0, and consequently, division by zero has no meaning in arithmetic.

**Greek numerals**, also known as **Ionic**, **Ionian**, **Milesian**, or **Alexandrian numerals**, are a system of writing numbers using the letters of the Greek alphabet. In modern Greece, they are still used for ordinal numbers and in contexts similar to those in which Roman numerals are still used in the Western world. For ordinary cardinal numbers, however, modern Greece uses Arabic numerals.

** Liber Abaci** is a historic 1202 Latin manuscript on arithmetic by Leonardo of Pisa, posthumously known as Fibonacci.

**Positional notation** usually denotes the extension to any base of the Hindu–Arabic numeral system. More generally, a positional system is a numeral system in which the contribution of a digit to the value of a number is the value of the digit multiplied by a factor determined by the position of the digit. In early numeral systems, such as Roman numerals, a digit has only one value: I means one, X means ten and C a hundred. In modern positional systems, such as the decimal system, the position of the digit means that its value must be multiplied by some value: in 555, the three identical symbols represent five hundreds, five tens, and five units, respectively, due to their different positions in the digit string.

**Quinary** is a numeral system with five as the base. A possible origination of a quinary system is that there are five digits on either hand.

A **vinculum** is a horizontal line used in mathematical notation for various purposes. It may be placed as an *overline* or *underline* above or below a mathematical expression to group the expression elements. Historically, vincula were extensively used to group items together, especially in written mathematics, but in modern mathematics its use for this purpose has almost entirely been replaced by the use of parentheses. It was also used to mark Roman numerals whose values are multiplied by 1,000. Today, however, the common usage of a vinculum to indicate the repetend of a repeating decimal is a significant exception and reflects the original usage.

**Pentadic numerals** are a notation for presenting numbers, usually by inscribing in wood or stone. The notation has been used in Scandinavia, usually in conjunction with runic calendars and inscriptions in runes.

**Scribal abbreviations** or **sigla** are abbreviations used by ancient and medieval scribes writing in various languages, including Latin, Greek, Old English and Old Norse.

The **Attic numerals** are a symbolic number notation used by the ancient Greeks. They were also known as **Herodianic numerals** because they were first described in a 2nd-century manuscript by Herodian; or as **acrophonic numerals** because the basic symbols derive from the first letters of the (ancient) Greek words that the symbols represented.

**Etruscan numerals** are the words and phrases for numbers of the Etruscan language, and the numerical digits used to write them.

**Elementary arithmetic** is a branch of mathematics involving basic numerical operations, namely addition, subtraction, multiplication, and division. Due to the low level of abstraction, broad range of application, and position as the foundation of all mathematics, elementary arithmetic is generally known as the first branch of mathematics taught in schools.

The Hindu–Arabic numeral system is a decimal place-value numeral system that uses a zero glyph as in "205".

The **Hindu–Arabic numeral system** is a positional base ten numeral system for representing integers; its extension to non-integers is the decimal numeral system, which is presently the most common numeral system.

An **overline**, **overscore**, or **overbar**, is a typographical feature of a horizontal line drawn immediately above the text. In old mathematical notation, an overline was called a *vinculum*, a notation for grouping symbols which is expressed in modern notation by parentheses, though it persists for symbols under a radical sign. The original use in Ancient Greek was to indicate compositions of Greek letters as Greek numerals. In Latin, it indicates Roman numerals multiplied by a thousand and it forms medieval abbreviations (sigla). Marking one or more words with a continuous line above the characters is sometimes called *overstriking*, though overstriking generally refers to printing one character on top of an already-printed character.

A **numeral** is a character that denotes a number. The **decimal** number digits 0–9 are used widely in various writing systems throughout the world, however the graphemes representing the decimal digits differ widely. Therefore Unicode includes 22 different sets of graphemes for the decimal digits, and also various decimal points, thousands separators, negative signs, etc. Unicode also includes several **non-decimal** numerals such as Aegean numerals, Roman numerals, counting rod numerals, Mayan numerals, Cuneiform numerals and ancient Greek numerals. There is also a large number of typographical variations of the Western Arabic numerals provided for specialized mathematical use and for compatibility with earlier character sets, such as ² or ②, and composite characters such as ½.

**Modern Arabic mathematical notation** is a mathematical notation based on the Arabic script, used especially at pre-university levels of education. Its form is mostly derived from Western notation, but has some notable features that set it apart from its Western counterpart. The most remarkable of those features is the fact that it is written from right to left following the normal direction of the Arabic script. Other differences include the replacement of the Greek and Latin alphabet letters for symbols with Arabic letters and the use of Arabic names for functions and relations.

In music theory, **Roman numeral analysis** is a type of harmonic analysis in which chords are represented by Roman numerals, which encode the chord's degree and harmonic function within a given musical key.

- ↑ Without theorising about causation, it may be noted that IV and IX not only have fewer characters than IIII and VIIII, but are less likely to be confused (especially at a quick glance) with III and VIII.
- ↑ This is the Coordinated Universal Time (UTC) year in which Wikipedia's cache of this page was last updated, so may be a few hours out of date.
- ↑ Isaac Asimov once mentioned an "interesting theory" that Romans avoided using IV because it was the initial letters of
*IVPITER*, the Latin spelling of Jupiter, and might have seemed impious.^{ [20] }He did not say whose theory it was. - ↑ XIII = 13 x 100,000 = 1,300,000 and XXXII = 32 x 1000 = 32,000, so 'XIII XXXII = 1,332,000.
**p.**is a common abbreviation for*passus*, paces, the Romans counting a pace as two steps.

- ↑ Judkins, Maura (4 November 2011). "Public clocks do a number on Roman numerals".
*The Washington Post*. Archived from the original on 15 November 2020. Retrieved 13 August 2019.Most clocks using Roman numerals traditionally use IIII instead of IV... One of the rare prominent clocks that uses the IV instead of IIII is Big Ben in London.

- ↑ Adams, Cecil (23 February 1990). "What is the proper way to style Roman numerals for the 1990s?".
*The Straight Dope*. - 1 2 Hayes, David P. "Guide to Roman Numerals".
*Copyright Registration and Renewal Information Chart and Web Site*. - ↑ Reddy, Indra K.; Khan, Mansoor A. (2003). "1 (Working with Arabic and Roman numerals)".
*Essential Math and Calculations for Pharmacy Technicians*. CRC Press. p. 3. ISBN 978-0-203-49534-6.Table 1-1 Roman and Arabic numerals (table very similar to the table here, apart from inclusion of Vinculum notation.

- ↑ Dehaene, Stanislas (1997).
*The Number Sense : How the Mind Creates Mathematics*. Oxford University Press. ISBN 9780199723096. 288 pages. - ↑ Hazewinkel, Michiel, ed. (1990). "Numbers, Representations of".
*Encyclopaedia of Mathematics*. Vol. 6. Springer. p. 502. ISBN 9781556080050. 546 pages. - ↑ Dela Cruz, M. L. P.; Torres, H. D. (2009).
*Number Smart Quest for Mastery: Teacher's Edition*. Rex Bookstore, Inc. ISBN 9789712352164. - ↑ Martelli, Alex; Ascher, David (2002).
*Python Cookbook*. O'Reilly Media Inc. ISBN 978-0-596-00167-4. - 1 2 Gaius Iulius Caesar. – via Wikisource.

Book II, Section 4: "*... XV milia Atrebates, Ambianos X milia, Morinos XXV milia, Menapios VII milia, Caletos X milia, Veliocasses et Viromanduos totidem, Atuatucos XVIIII milia; ...*"

Book II, Section 8: "*... ab utroque latere eius collis transversam fossam obduxit circiter passuum CCCC et ad extremas fossas castella constituit...*"

Book IV, Section 15: "*Nostri ad unum omnes incolumes, perpaucis vulneratis, ex tanti belli timore, cum hostium numerus capitum CCCCXXX milium fuisset, se in castra receperunt.*"

Book VII, Section 4: "*...in hiberna remissis ipse se recipit die XXXX Bibracte.*" (in Latin) - ↑ Rocca, Angelo (1612).
*De campanis commentarius*. Rome: Guillelmo Faciotti. Title of a Plate: "Campana a XXIIII hominibus pulsata" ("Bell to be sounded by 24 men"). - ↑ Gerard Ter Borch (1673):
*Portrait of Cornelis de Graef*. Date on painting: "Out. XXIIII Jaer. // M. DC. LXXIIII". - ↑ Gaius Plinius Secundus. – via Wikisource. Book III: "
*Saturni vocatur, Caesaream Mauretaniae urbem CCLXXXXVII p[assum]. traiectus. reliqua in ora flumen Tader ... ortus in Cantabris haut procul oppido Iuliobrica, per CCCCL p. fluens ...*"

Book IV: "*Epiri, Achaiae, Atticae, Thessalia in porrectum longitudo CCCCLXXXX traditur, latitudo CCLXXXXVII.*"

Book VI: "*tam vicinum Arsaniae fluere eum in regione Arrhene Claudius Caesar auctor est, ut, cum intumuere, confluant nec tamen misceantur leviorque Arsanias innatet MMMM ferme spatio, mox divisus in Euphraten mergatur.*" (in Latin) - ↑ Bennet, Thomas (1731).
*Grammatica Hebræa, cum uberrima praxi in usum tironum ... Editio tertia*. T. Astley. p. 24. Copy in the British Library; 149 pages.

Page 24: "*PRÆFIXA duo sunt**viz.**He**emphaticum vel relativum (de quo Cap VI Reg. LXXXX.) &**Shin**cum**Segal**sequente**Dagesh*,*quod denotat pronomen relativum...*" - ↑ Della Mirandola, Pico (1486).
*Conclusiones sive Theses DCCCC*[*Conclusions, or 900 Theses*] (in Latin). - ↑ "360:12 tables, 24 chairs, and plenty of chalk".
*Roman Numerals...not quite so simple*. 2 January 2011. - ↑ "Paul Lewis".
*Roman Numerals...How they work*. 13 November 2021. - ↑ Milham, W.I. (1947).
*Time & Timekeepers*. New York: Macmillan. p. 196. - 1 2 Pickover, Clifford A. (2003).
*Wonders of Numbers: Adventures in Mathematics, Mind, and Meaning*. Oxford University Press. p. 282. ISBN 978-0-19-534800-2. - ↑ Adams, Cecil; Zotti, Ed (1988).
*More of the straight dope*. Ballantine Books. p. 154. ISBN 978-0-345-35145-6. - 1 2 3 Asimov, Isaac (1966).
*Asimov on Numbers*(PDF). Pocket Books, a division of Simon & Schuster, Inc. p. 12. - ↑ "Gallery: Museum's North Entrance (1910)". Saint Louis Art Museum. Archived from the original on 4 December 2010. Retrieved 10 January 2014.
The inscription over the North Entrance to the Museum reads: "Dedicated to Art and Free to All MDCDIII." These roman numerals translate to 1903, indicating that the engraving was part of the original building designed for the 1904 World's Fair.

- ↑ Reynolds, Joyce Maire; Spawforth, Anthony J. S. (1996). "numbers, Roman" . In Hornblower, Simon; Spawforth, Anthony (eds.).
*Oxford Classical Dictionary*(3rd ed.). Oxford University Press. ISBN 0-19-866172-X. - ↑ Kennedy, Benjamin Hall (1923).
*The Revised Latin Primer*. London: Longmans, Green & Co. - ↑ Adkins, Lesley; Adkins, Roy A (2004).
*Handbook to life in ancient Rome*(2 ed.). Facts On File. p. 270. ISBN 0-8160-5026-0. - ↑ Boyne, William (1968).
*A manual of Roman coins*. p. 13. - ↑ Degrassi, Atilius, ed. (1963).
*Inscriptiones Italiae*. Vol. 13: Fasti et Elogia. Rome: Istituto Poligrafico dello Stato. Fasciculus 2: Fasti anni Numani et Iuliani. - ↑ Lundorphio, Michaele Gaspar (1621).
*Acta publica inter invictissimos gloriosissimosque&c. ... et Ferdinandum II. Romanorum Imperatores...*(in Latin). Ian-Friderici Weissii. p. 123.

Page 123: "*Sub Dato Pragæ IIIXX Decemb. A. C. M. DC. IIXX*".

Page 126, end of the same document: "*Dabantur Pragæ 17 Decemb. M. DC. IIXX*". - ↑ Sulpicius à Munscrod, Raphael (1621).
*Vera Ac Germana Detecto Clandestinarvm Deliberationvm*(in Latin). p. 16.

Page 16, line 1: "*repertum Originale Subdatum IIIXXX Aug. A. C. MDC.IIXX*".

Page 41, upper right corner: "*Decemb. A. C. MDC.IIXX*". Page 42, upper left corner: "*Febr. A. C. MDC.XIX*". Page 70: "*IIXX. die Maij sequentia in consilio noua ex Bohemia allata....*".

Page 71: "*XIX. Maij*. - ↑ Tentzel, Wilhelm Ernst (1699).
*Als Ihre Königl. Majestät in Pohlen und ...*(in German). p. 39.

Page 39: "*... und der Umschrifft: LITHUANIA ASSERTA M. DC. IIIC [1699].*" - ↑ Posner, Johann Caspar (1698).
*Mvndvs ante mvndvm sive De Chao Orbis Primordio*(in Latin).

Title page: "*Ad diem jvlii A. O. R. M DC IIC*". - ↑ Tentzel, Wilhelm Ernst (1700).
*Saxonia Nvmismatica: Das ist: Die Historie Des Durchlauchtigsten...*(in German). p. 26.

Page 26: "*Die Revers hat eine feine Inscription*:*SERENISSIMO DN.DN... SENATUS.QVERNF. A. M DC IIC D. 18 OCT [year 1698 day 18 oct].*" - ↑ Piccolomini, Enea Silvio (1698).
*Opera Geographica et Historica*(in Latin) (1st ed.). Helmstadt: J. M. Sustermann. Title page of first edition: "*Bibliopolæ ibid. M DC IC*". - ↑ Kennedy, Benjamin H. (1879).
*Latin grammar*. London: Longmans, Green, and Co. p. 150. ISBN 9781177808293. - ↑ "ROMAN function".
*support.microsoft.com*. - ↑
*L' Atre périlleux et Yvain, le chevalier au lion*. 1301–1350. - 1 2 Malone, Stephen James (2005).
*Legio XX Valeria Victrix: A Prosographical and Historical Study*(PDF) (Thesis). Vol. 2. University of Nottingham.

On page 396 it discusses many coins with "Leg. IIXX" and notes that it must be Legion 22.

The footnote on that page says: "The form IIXX clearly reflecting the Latin*duo et vicensima*'twenty-second': cf. X5398,*legatus I[eg II] I et vicensim(ae) Pri[mi]g*; VI 1551,*legatus leg] IIXX Prj*; III 14207.7,*miles leg IIXX*; and III 10471-3, a vexillation drawn from four German legions including 'XVIII PR' – surely here the stonecutter's hypercorrection for IIXX PR. - 1 2 Gachard, M. (1862). "II. Analectes historiques, neuvième série (n
^{os}CCLXI-CCLXXXIV)".*Bulletin de la Commission royale d'Historie*.**31**(3): 345–554. doi:10.3406/bcrh.1862.3033.

Page 347:*Lettre de Philippe le Beau aux échevins..., quote: "Escript en nostre ville de Gand, le XXIIII*"^{me}de febvrier, l'an IIII^{XX}XIX [quatre-vingt-dix-neuf = 99].

Page 356:*Lettre de l'achiduchesse Marguerite au conseil de Brabant..., quote: "... Escript à Bruxelles, le dernier jour de juing anno XV*"^{c}XIX [1519].

Page 374:*Letters patentes de la rémission ... de la ville de Bruxelles, quote*: "*... Op heden, tweentwintich ['twenty-two'] daegen in decembri, anno vyfthien hondert tweendertich*['fifteen hundred thirty-two']*... Gegeven op ten vyfsten dach in deser jegewoirdige maent van decembri anno XV tweendertich [1532] vorschreven.*"

Page 419:*Acte du duc de Parme portant approbation..., quote: "Faiet le XV*".^{me}de juillet XV^{c}huytante-six [1586]. - ↑ Salter, Herbert Edward (1923).
*Registrum Annalium Collegii Mertonensis 1483–1521*. Vol. 76. Oxford Historical Society. 544 pages. Page 184 has the computation in pounds:shillings:pence (li:s:d) x:iii:iiii + xxi:viii:viii + xlv:xiiii:i = iii^{xx}xvii:vi:i, i.e. 10:3:4 + 21:8:8 + 45:14:1 = 77:6:1. - ↑ de Wailly; Delisle (1865) [1301]. "E Duo Codicibus Ceratis Johannis de Sancto Justo" [From Two Texts in Wax by John of St Just].
*Recueil des historiens des Gaules et de la France. Par Martin Bouquet: Contenant la deuxieme livraison des monumens des regnes de saint Louis, de Philippe le Hardi, de Philippe le bel, de Louis X, de Philippe V et de Charles IV ... Jusqu'en MCCCXXVIII. Tome Vingt-Deuxième*.*Recueil des Historiens des Gaules et de la France*(in Latin). Vol. 22. p. 530:SUMMA totalis, XIII. M. V. C. III. XX. XIII. l. III s. XI d.

[Sum total, 13 thousand 5 hundred 3 score 13 livres, 3 sous, 11 deniers.] - ↑ "Our Brand Story". SPC Ardmona. Retrieved 11 March 2014.
- ↑
*Bede: The Reckoning of Time*. Translated by Wallis, Faith. Liverpool: Liverpool University Press. 2004 [725]. ISBN 0-85323-693-3. - ↑ Baker, Peter S.; Lapidge, Michael, eds. (1995) [1016].
*Byrhtferth's Enchiridion*. Early English Text Society. ISBN 978-0-19-722416-8. - ↑ Jones, C. W. (ed.).
*Opera Didascalica*. Corpus Christianorum, Series Latina. Vol. 123C. - 1 2 3 Bachenheimer, Bonnie S. (2010).
*Manual for Pharmacy Technicians*. ISBN 978-1-58528-307-1. - ↑ "RIB 2208. Distance Slab of the Sixth Legion".
*Roman Inscriptions in Britain*. Retrieved 11 November 2020. - ↑ Maher, David W.; Makowski, John F. (2011). "Literary Evidence for Roman Arithmetic with Fractions" (PDF).
*Classical Philology*.**96**(4): 376–399. doi:10.1086/449557. S2CID 15162149. Archived from the original (PDF) on 27 August 2013. - ↑ "Definition of Apostrophus".
*www.merriam-webster.com*. - 1 2 3 4 Perry, David J. "Proposal to Add Additional Ancient Roman Characters to UCS" (PDF). Archived from the original (PDF) on 22 June 2011..
- 1 2 Ifrah, Georges (2000).
*The Universal History of Numbers: From Prehistory to the Invention of the Computer*. Translated by David Bellos, E. F. Harding, Sophie Wood, Ian Monk. John Wiley & Sons. - 1 2 Dilke, Oswald Ashton Wentworth (1987).
*Mathematics and measurement*. Reading the past. London: British Museum Publications. p. 15. ISBN 978-0-7141-8067-0. - ↑ Chrisomalis, Stephen (2010).
*Numerical Notation: A Comparative History*. Cambridge University Press. pp. 102–109. ISBN 978-0-521-87818-0. - ↑ Gordon, Arthur E. (1982).
*Illustrated Introduction to Latin Epigraphy*. Berkeley: University of California Press. pp. 122–123. ISBN 0-520-05079-7. - ↑ Chrisomalis, Stephen (2010).
*Numerical Notation: A Comparative History*. Cambridge University Press. p. 119. ISBN 978-0-521-87818-0. - ↑ Boethius (1867) [6th century AD].
*De Institutione Arithmetica, libri duo*(PDF). B.G.Teubner. p. 42. Retrieved 18 January 2023. - 1 2 Pliny (1961) [1st century AD].
*Natural History*. Loeb Classical Library. Vol. L352. Harvard University Press. Book VI, XXVI, 100 (pp 414-415). - ↑ Chrisomalis, Stephen (2010).
*Numerical Notation: A Comparative History*. Cambridge University Press. pp. 402–403. ISBN 978-0-521-87818-0. - ↑ "RIB 2208. Distance Slab of the Twentieth Legion".
*Roman Inscriptions in Britain*. Retrieved 9 November 2020. - ↑ "RIB 2171. Building Inscription of the Second and Twentieth Legions".
*Roman Inscriptions in Britain*. Retrieved 9 November 2020. - 1 2 Van Heems, Gilles (2009). "Nombre, chiffre, lettre: Formes et réformes. Des notations chiffrées de l'étrusque" [Between Numbers and Letters: About Etruscan Notations of Numeral Sequences].
*Revue de philologie, de littérature et d'histoire anciennes*(in French).**83**(1): 103–130. ISSN 0035-1652. - ↑ Keyser, Paul (1988). "The Origin of the Latin Numerals 1 to 1000".
*American Journal of Archaeology*.**92**(4): 529–546. doi:10.2307/505248. JSTOR 505248. S2CID 193086234. - ↑ Hopkins, Keith (2005).
*The Colosseum*. Cambridge, MA: Harvard University Press. ISBN 978-0-674-01895-2. - ↑ Claridge, Amanda (1998).
*Rome: An Oxford Archaeological Guide (First ed.)*. Oxford: Oxford University Press. ISBN 978-0-19-288003-1. - ↑ Bastedo, Walter A. Materia Medica: Pharmacology, Therapeutics and Prescription Writing for Students and Practitioners, 2nd ed. (Philadelphia, PA: W.B. Saunders, 1919) p582. Retrieved 15 March 2010.
- ↑ Capelli, A. (1912).
*Dictionary of Latin Abbreviations*. - ↑ "Example of superscript 'o' used as an ordinal indicator". Archived from the original on 4 March 2016. Retrieved 25 January 2014.
- ↑ Bang, Jørgen (1962).
*Fremmedordbog*(in Danish). Berlingske Ordbøger. - ↑ Gordon, Arthur E. (1983).
*Illustrated Introduction to Latin Epigraphy*. University of California Press. p. 44. ISBN 9780520038981 . Retrieved 3 October 2015. - ↑ "NFL won't use Roman numerals for Super Bowl 50". National Football League. Archived from the original on 1 December 2015. Retrieved 5 November 2014.
- ↑ "Planetary Satellite Discovery Circumstances".
*JPL Solar System Dynamics*. NASA. 15 November 2021. Retrieved 7 January 2022. - ↑ Fluck, E. (1988). "New Notations in the Periodic Table" (PDF).
*Pure Appl. Chem.***60**(3). IUPAC: 431–436. doi:10.1351/pac198860030431. S2CID 96704008 . Retrieved 24 March 2012. - ↑ Reddy, Indra K.; Khan, Mansoor A. (2003).
*Essential Math and Calculations for Pharmacy Technicians*. CRC Press. ISBN 978-0-203-49534-6. - ↑
*Lexique des règles typographiques en usage à l'imprimerie nationale*(in French) (6th ed.). Paris: Imprimerie nationale. March 2011. p. 126. ISBN 978-2-7433-0482-9.*On composera en chiffres romains petites capitales les nombres concernant : ↲ 1. Les siècles.* - ↑ "Beginners latin".
*nationalarchives.gov.uk*. Archived from the original on 3 December 2013. Retrieved 1 December 2013. - ↑ "Roman Arithmetic". Southwestern Adventist University. Archived from the original on 22 November 2013. Retrieved 1 December 2013.
- ↑ "Roman Numerals History". Archived from the original on 3 December 2013. Retrieved 1 December 2013.
- ↑ "Unicode Number Forms" (PDF).
- ↑ "The Unicode Standard, Version 6.0 – Electronic edition" (PDF). Unicode, Inc. 2011. p. 486.
- ↑ "Roman symbol".
*symbolonly.com*.

- Menninger, Karl (1992).
*Number Words and Number Symbols: A Cultural History of Numbers*. Dover Publications. ISBN 978-0-486-27096-8.

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*Finding Zero: A Mathematician's Odyssey to Uncover the Origins of Numbers.*1st edition. New York: Palgrave Macmillan. - Goines, David Lance.
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*The Shape of Script: How and Why Writing Systems Change.*Santa Fe, NM: School for Advanced Research Press. - Taisbak, Christian M. 1965. "Roman numerals and the abacus."
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