What does MDXXIV mean?

MDXXIV is the Roman numeral for 1,524 — 1000 + 500 + 10 + 10 + 4.

How do you write 1524 in Roman numerals?

Take the largest value that fits and repeat until nothing is left: M (1000), then D (500), then X (10), then X (10), then IV (4). That gives MDXXIV.

1,524 in Roman numerals

MDXXIV

Number (1–3,999 for numerals)

Roman numeral

1,524 is written MDXXIV in Roman numerals. That is 5 symbol groups added together, reading left to right from the largest value down.

How it breaks down

MDXXIV = 1000 + 500 + 10 + 10 + 4 = 1,524
Group	Value	Subtraction	Running total
M	1,000	—	1,000
D	500	—	1,500
X	10	—	1,510
X	10	—	1,520
IV	4	V − I	1,524

Why the smaller symbol comes first

MDXXIV 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	no
D	500	yes — 1×
M	1,000	yes — 1×

The same number, other ways

In words: One thousand five hundred twenty-four
Roman numeral: MDXXIV
Symbol count: 6 characters
Binary: 10111110100
Hexadecimal: 5F4

The numbers either side

Number	Roman numeral
1,522	MDXXII
1,523	MDXXIII
1,524	MDXXIV ←
1,525	MDXXV
1,526	MDXXVI

Common questions

What is 1524 in Roman numerals?: 1,524 is MDXXIV.
What does MDXXIV mean?: MDXXIV is the Roman numeral for 1,524 — 1000 + 500 + 10 + 10 + 4.
How do you write 1524 in Roman numerals?: Take the largest value that fits and repeat until nothing is left: M (1000), then D (500), then X (10), then X (10), then IV (4). That gives MDXXIV.

Sources

Calculated on this page — At One Place

How these figures are compiled and checked