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Convert Number to Roman Numerals

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Ancient Romans used a number system that comprised of the seven letters I, V, X, L, C, D and M. Following table shows the values associated with these letters:

Roman NumeralIVXLCDM
Arabic Numbers1510501005001000

These seven letters are the base numbers in Roman notation. Other numbers are written with a combination of these seven letters. For example, number 400 is written as CD in Roman notation. There is no zero number in Roman notation.

A number containing two or more digits is created by putting Roman numerals side by side, from highest to lowest. For example:

  • 17 = X + VII = XVII
  • 825 = D + CCC + XX + V = DCCCXXV
  • 1749 = M + D + CC + XL + IX = MDCCXLIX

Rule 1: If a numeral with larger or equal value comes after a numeral -- then it must be added to the numeral before it. For example VI becomes 5+1 = 6. Or III becomes 1 + 1 + 1 = 3.

Rule 2: More than three of the same Roman numeral cannot be added together.

Rule 3: If a numeral with smaller value placed before a numeral -- then it will be subtracted from the from the larger one. For example IV becomes 5 - 1 = 4.

The largest number we can write in Roman numerals is 3,999 which is MMMCMXCIX.

How to write numbers greater than 3,999 in Roman Numerals

Overline (called Vinculum) notation is often used for writing numbers bigger than 3,999. Vinculum is a bar or overline drawn above the Roman numerals. When used, the underlying Roman numerals are considered to be multiplied by 1,000. For example:

  • IV = 4 and IV = 4,000
  • XXV = 25 and XXV = 25,000