How to Write Roman Numerals

For example:

44 = 40 + 4
44 = XL + IV
44 = XLIV

This place-value method gives one consistent standard form for every whole number from 1 to 3,999.

Key takeaways

• Split the number into thousands, hundreds, tens and units.
• Convert each non-zero place-value group separately.
• Use the standard forms for 4, 9, 40, 90, 400 and 900.
• Join the Roman groups from largest value to smallest.
• Check the result by converting it back into an ordinary number.

Roman numeral building blocks

The following values are enough to construct every standard Roman numeral from 1 to 3,999:

The values 4, 9, 40, 90, 400 and 900 use the six standard subtractive pairs. Treating these as normal building blocks prevents non-standard forms such as IIII or IC from being produced.

The place-value matrix

Each decimal position follows the same pattern.

Units use I, V and X. Tens use X, L and C. Hundreds use C, D and M. The same 1–9 pattern repeats at each level.

The thousands column stops at 3 because the standard beginner system used here supports values only up to 3,999.

How to write a number in Roman numerals

Step 1 — split the number into place values

Separate the number into thousands, hundreds, tens and units.

For 1,982:

1,982 = 1,000 + 900 + 80 + 2

For 944:

944 = 900 + 40 + 4

For 2,006:

2,006 = 2,000 + 6

Any place-value position worth zero is omitted. In 2,006, there is no hundreds or tens group.

Step 2 — convert each group

Convert every non-zero part using the place-value matrix.

Using 1,982:

1,000 = M
900 = CM
80 = LXXX
2 = II

Using 944:

900 = CM
40 = XL
4 = IV

Using 2,006:

2,000 = MM
6 = VI

Handle each decimal position separately rather than trying to build the final numeral by guesswork.

Step 3 — join the groups

Place the converted Roman groups together from largest value to smallest.

For 1,982:

M + CM + LXXX + II
MCMLXXXII

For 944:

CM + XL + IV
CMXLIV

For 2,006:

MM + VI
MMVI

Spaces and plus signs are useful while explaining the calculation, but they are removed from the finished Roman numeral.

Check — convert the result back

Read the completed Roman numeral back into an ordinary number.

For XLIV:

XLIV = XL + IV
XLIV = 40 + 4
XLIV = 44

For MCMLXXXII:

MCMLXXXII = M + CM + LXXX + II
MCMLXXXII = 1,000 + 900 + 80 + 2
MCMLXXXII = 1,982

The result should match the number you started with.

A useful checklist is:

• Did you split every non-zero decimal position?
• Did you use the standard form for each position?
• Are the groups ordered from largest to smallest?
• Does converting the finished numeral back produce the original number?

Worked examples

8 is VIII

8 = 5 + 3
8 = V + III
8 = VIII

14 is XIV

14 = 10 + 4
14 = X + IV
14 = XIV

44 is XLIV

44 = 40 + 4
44 = XL + IV
44 = XLIV

This uses the standard forms for both 40 and 4.

944 is CMXLIV

944 = 900 + 40 + 4
944 = CM + XL + IV
944 = CMXLIV

The same subtractive pattern appears in the hundreds, tens and units positions.

1,982 is MCMLXXXII

1,982 = 1,000 + 900 + 80 + 2
1,982 = M + CM + LXXX + II
1,982 = MCMLXXXII

2,006 is MMVI

2,006 = 2,000 + 6
2,006 = MM + VI
2,006 = MMVI

The zero hundreds and zero tens positions are omitted.

3,999 is MMMCMXCIX

3,999 = 3,000 + 900 + 90 + 9
3,999 = MMM + CM + XC + IX
3,999 = MMMCMXCIX

This is the largest value supported by the standard beginner method used here.

Common points to remember

Use standard subtractive forms

Standard modern notation uses:

4 = IV, not IIII
9 = IX, not VIIII
40 = XL, not XXXX

The same pattern applies to 90, 400 and 900.

Keep groups in descending order

The largest place-value group comes first, followed by smaller groups.

For example:

68 = 60 + 8
68 = LX + VIII
68 = LXVIII

Omit zero positions

Zero-valued positions contribute no Roman group.

For example:

2,006 = MMVI

Do not insert a placeholder symbol for the missing hundreds or tens.

The complete repetition, ordering and subtraction rules are explained in the Roman Numeral Rules guide.

Limits of the beginner method

Zero as a complete number

The standard Roman numeral system used for ordinary conversions does not contain a normal symbol for zero.

Values above 3,999

Larger values require an extended notation system. Different conventions have been used, so they should be treated as a separate advanced topic.

Negative numbers, fractions and decimals

These fall outside the ordinary whole-number system taught in this guide.

Dates

Calendar dates require the day, month and year to be converted separately and then arranged in the chosen date order. The date-specific guides explain that process.

Continue learning

After learning how to write Roman numerals, continue with:

• Roman Numeral Rules
• Additive Notation in Roman Numerals
• Subtractive Notation in Roman Numerals
• How to Read Roman Numerals