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420 in Roman numerals

CDXX

The number 420 is written CDXX in Roman numerals.

How CDXX breaks down

SymbolsValue
CD400
XX2 × 10 = 20
CDXX420

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
415CDXV
416CDXVI
417CDXVII
418CDXVIII
419CDXIX
420CDXX
421CDXXI
422CDXXII
423CDXXIII
424CDXXIV
425CDXXV

The seven symbols

I1C100
V5D500
X10M1,000
L50

420 in other notations

RomanCDXX
Binary110100100
Hexadecimal1A4
Octal644
Written outfour hundred and twenty

Writing it by hand

Work down through the symbol values, taking as many of each as will fit before moving to the next. For 420:

CD       =   400    remaining: 20
2 × X    =    20    remaining: 0

The result reads CDXX — 4 characters, against 3 digits in Arabic numerals.

Frequently asked questions

What is 420 in Roman numerals?

CDXX

How do you read CDXX?

Work left to right, adding each symbol — except where a smaller symbol precedes a larger one, in which case it is subtracted. CD is 400, XX is 20, giving 420 in total.

How do you write 420 in words?

four hundred and twenty.

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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