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2,004 in Roman numerals

MMIV

The number 2,004 is written MMIV in Roman numerals. As a year it appears in copyright lines and cornerstones written this way.

How MMIV breaks down

SymbolsValue
MM2 × 1,000 = 2,000
IV4
MMIV2,004

This numeral uses the subtractive rule: a smaller symbol placed before a larger one is subtracted from it. Only six such pairs are legal — IV (4), IX (9), XL (40), XC (90), CD (400) and CM (900).

Nearby numbers

NumberRoman numeral
1,999MCMXCIX
2,000MM
2,001MMI
2,002MMII
2,003MMIII
2,004MMIV
2,005MMV
2,006MMVI
2,007MMVII
2,008MMVIII
2,009MMIX

The seven symbols

I1C100
V5D500
X10M1,000
L50

2,004 in other notations

RomanMMIV
Binary11111010100
Hexadecimal7D4
Octal3724
Written outtwo thousand and four

Writing it by hand

Work down through the symbol values, taking as many of each as will fit before moving to the next. For 2,004:

2 × M    =  2000    remaining: 4
IV       =     4    remaining: 0

The result reads MMIV — 4 characters, against 4 digits in Arabic numerals.

Frequently asked questions

What is 2,004 in Roman numerals?

MMIV

How do you read MMIV?

Work left to right, adding each symbol — except where a smaller symbol precedes a larger one, in which case it is subtracted. MM is 2,000, IV is 4, giving 2,004 in total.

How do you write 2,004 in words?

two thousand and four.

Why is there no zero?

Roman numerals have no symbol for zero. The concept reached Europe only with Hindu-Arabic numerals, centuries after the system was in use — which is a large part of why it was eventually replaced for arithmetic.

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