How to add and subtract the Roman numerals: MXXXIII - MCMLXXVIII + MCMLXXIX - CCXXX = ? Solve the mathematical operation of addition and subtraction like the Romans calculated

MXXXIII - MCMLXXVIII + MCMLXXIX - CCXXX = ?

The operation written with Hindu-Arabic numerals:
1,033 - 1,978 + 1,979 - 230 = ?

The Romans did not have the Hindu-Arabic numbers.

Steps and explanations below, without 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.


MXXXIII - MCMLXXVIII + MCMLXXIX - CCXXX =
- V + MIX - CC

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 ...


MIX:


IX = X - I = V IIIII - I = V IIII = VIIII


MIX = MVIIII


3. Put the Roman numerals together, as a string.

Catenate the negative numerals together:

V +


CC =


VCC


4. Sort the symbols in order.

Sort the symbols in order from left-to-right with the largest symbol on the left, down to the smallest on the right.

Sort the symbols of the negative numerals:

VCC =


CCV


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

MVIIII -


CCV =


MIIII -


CC


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

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:

M = DCCCCC;


MIIII -
CC =
DCCCCCIIII -
CC =
DCCCIIII

7. Rewrite the repetitive symbols.

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

The numeral I should not repeat itself more than 3 times in a row, rewrite:

DCCCIIII =


DCCCIV


Final answer:

MXXXIII - MCMLXXVIII + MCMLXXIX - CCXXX =


DCCCIV

The operation written with Hindu-Arabic numerals:
1,033 - 1,978 + 1,979 - 230 = 804

The Romans did not have the Hindu-Arabic numbers


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

DCCLXXII - MCCXCII = ?

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 together, as a string.

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 Arabic numbers to Roman numerals: breaking down into place value subgroups

Examples of converting Arabic numbers to Roman numerals


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