Roman numerals are a numeral system originating in ancient Rome that uses combinations of letters from the Latin alphabet to represent values. The seven symbols (I, V, X, L, C, D, M) can express any number from 1 to 3,999 using additive and subtractive rules. Despite being thousands of years old, Roman numerals remain widely used in modern contexts.
The subtractive principle is the key innovation that distinguishes Roman numerals from purely additive systems. By placing a smaller value before a larger one (IV instead of IIII), the system avoids long repetitive sequences. Only six subtractive pairs are standard: IV, IX, XL, XC, CD, and CM. Understanding these pairs is essential for both reading and writing Roman numerals correctly.
Converting between Roman and Arabic numbers is straightforward once you know the rules. To convert to Roman: divide by the largest possible value, write its symbol, and repeat with the remainder. To convert from Roman: read left to right, add each value unless the next symbol is larger (in which case, subtract).