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The way we write out Roman numerals today differs in many respects in the way that the Romans actually did themselves inasmuch that today we would convert 19, 549, 99 and 999 into Roman numerals as XIX, DXLIX, XCIX and CMXCIX respectively which makes addition of them in some kind of logical fashion almost impossible.

But evidence can be gleaned from the past to suggest that the Romans would have used either of the following formats for calculating the equivalent of the above Hindu-Arabic numerals:-

IXX+IDL = DLXVIII (20-)+(550-1) = (568)

DLXVIII+IC = DCLXVII (568)+(100-1) = (667)

DCLXVII+IM = MDCLXVI (667)+(1000-1) = (1666)

Alternatively:-

XVIIII+DXXXXVIIII = DLXVIII (19)+(549) = (568)

DLXVIII+LXXXXVIIII = DCLXVII (568)+(99) = (667)

DCLXVII+DCCCCLXXXXVIIII = MDCLXVI (667)+(999) = (1666)

Note that: 5*I=V, 2*V=X, 5*X=L, 2*L=C, 5*C=D and 2*D=M

Roman numerals: M=1000, D=500, C=100, L=50. X=10, V=5 and I=1

QED

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