How to subtract the Roman numerals: MDLXXIV - MCMII = ? Solve the mathematical operation of subtraction like the Romans calculated

The operation written with Hindu-Arabic numerals:

1,574 - 1,902 = ?

The Romans did not have the Hindu-Arabic numbers.

Steps and explanations below, without Hindu-Arabic numbers.


>> Reading rules


1. Simplify the operation.

Cross out the common symbols in the numerals of different signs.


Matching numerals / symbols are colored the same.


MDLXXIV - MCMII =
DLXXIV - CMII

When crossing out,
do not mix subtractive and additive groups symbols:
for example ...


2. Substitute for subtractives.

Substitute for any subtractives in the roman numerals; that is, "uncompact" them using only the additive notation.


Subtractive notation, additive notation: more information ...


DLXXIV:


IV = V - I = IIIII - I = IIII


DLXXIV = DLXXIIII


CMII:


CM = M - C = D CCCCC - C = D CCCC = DCCCC


CMII = DCCCCII


3. Cross out (remove) any symbols occurring in both strings.

DLXXIIII -


DCCCCII =


LXXII -


CCCC


4. Get rid of all the symbols in one of the two strings.

Using the additive notation, convert larger symbols to smaller ones and cross out the common symbols.


Subtractive notation, additive notation: more information ...


Symbols converted, in additive notation:

C = LL; L = XXXXX; X = VIIIII;


LXXII -
CCCC =
LXXII -
CCCLXXXXVIIIII =
- CCCXXVIII

Romans did not have the concept of negativity with their numeral system.

What we now consider to be a negative number for them was just another number, for example a debt owned, which would rather be a plus on the creditor's account.


Final answer:

MDLXXIV - MCMII =


- CCCXXVIII

The operation written with Hindu-Arabic numerals:
1,574 - 1,902 = -328

The Romans did not have the Hindu-Arabic numbers.

Romans did not have the concept of negativity with their numeral system.

What we now consider to be a negative number for them was just another number, for example a debt owned, which would rather be a plus on the creditor's account.



More operations of this kind
How to subtract the Roman numerals:

MCLIV - CCXXIX - MCDLXXV = ?

Roman numerals addition and subtraction online calculator

The latest operations with Roman numerals (added, subtracted)

How to add and subtract Roman numerals the right way, like the Romans calculated: steps and explanations

1. Cancel equal but different sign numerals.

2. Cross out the common symbols in the numerals of different signs.

When crossing out,
do not mix subtractive and additive groups symbols.

3. Substitute for any subtractives in the roman numerals; that is, "uncompact" them using only the additive notation.

4. Put the Roman numerals of the same sign together.

5. Cross out (remove) any symbols occurring in both strings.

6. Using the additive notation, convert larger symbols to smaller ones and cross out the common symbols.

7. Rewrite the symbols written in excessive additive notation by using the substractive notation.

Final answer:

Mathematical operations with Roman numerals:

I. Addition. Learn by example how to add Roman numerals the right way, like the Romans calculated, steps, explanations

II. Subtraction. Learn by example how to subtract Roman numerals the right way, like the Romans calculated, steps, explanations

III. Addition and subtraction. Learn by example how to add and subtract Roman numerals the right way, like the Romans calculated, steps, explanations

Roman numerals reading rules, summary:

I. The Roman numerals set of basic symbols

II. The rule of numerals repetition

III. Subtractive notation of the Roman numerals

IV. Additive notation of the Roman numerals


How to convert Hindu-Arabic numbers to Roman numerals: breaking down into place value subgroups

Examples of converting Hindu-Arabic numbers to Roman numerals


Roman numerals from 1 to 100

Roman numerals from 1 to 1000