What does MCXXIV mean?

MCXXIV is the Roman numeral for 1,124 — 1000 + 100 + 10 + 10 + 4.

How do you write 1124 in Roman numerals?

Take the largest value that fits and repeat until nothing is left: M (1000), then C (100), then X (10), then X (10), then IV (4). That gives MCXXIV.

1,124 in Roman numerals

MCXXIV

Number (1–3,999 for numerals)

Roman numeral

1,124 is written MCXXIV in Roman numerals. That is 5 symbol groups added together, reading left to right from the largest value down.

How it breaks down

MCXXIV = 1000 + 100 + 10 + 10 + 4 = 1,124
Group	Value	Subtraction	Running total
M	1,000	—	1,000
C	100	—	1,100
X	10	—	1,110
X	10	—	1,120
IV	4	V − I	1,124

Why the smaller symbol comes first

MCXXIV uses subtractive notation in one place: IV means V minus I, or 4. A smaller symbol placed before a larger one is subtracted from it rather than added, which is why IX is nine and not eleven.

Only six such pairs are valid — IV, IX, XL, XC, CD and CM. That restriction is what makes the notation unambiguous: IIII and IC both look like they should work, but neither is standard, and only one spelling of any number is correct.

The symbols

Symbol	Value	Used here
I	1	yes — 1×
V	5	yes — 1×
X	10	yes — 2×
L	50	no
C	100	yes — 1×
D	500	no
M	1,000	yes — 1×

The same number, other ways

In words: One thousand one hundred twenty-four
Roman numeral: MCXXIV
Symbol count: 6 characters
Binary: 10001100100
Hexadecimal: 464

The numbers either side

Number	Roman numeral
1,122	MCXXII
1,123	MCXXIII
1,124	MCXXIV ←
1,125	MCXXV
1,126	MCXXVI

Common questions

What is 1124 in Roman numerals?: 1,124 is MCXXIV.
What does MCXXIV mean?: MCXXIV is the Roman numeral for 1,124 — 1000 + 100 + 10 + 10 + 4.
How do you write 1124 in Roman numerals?: Take the largest value that fits and repeat until nothing is left: M (1000), then C (100), then X (10), then X (10), then IV (4). That gives MCXXIV.

Sources

Calculated on this page — At One Place

How these figures are compiled and checked