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Under today's rules governing the Roman numeral system the equivalent of 14, 19, 89, and 99 converted into Roman are XIV, XIX, LXXXIX and XCIX respectively which renders addition of them quite difficult if not possible at all.

But it's quite possible that the equivalent of these numbers were wrtten out in a simplified format as IXV. IXX, IXC and IC respectively which makes addition of them simple and straightforward as follows:-

IXV+IXX = XXXIII (15-1)+(20-1) = 33

XXXIII+IXC = CXXII (33)+(100-11) = 122

CXXII+IC = CCXXI (122)+(100-1) = 221

Alternatively in expanded format gives the same results:-

XIIII+XVIIII = XXXIII (14+19 = 33)

XXXIII+LXXXVIIII = CXXII (33+89 = 122)

CXXII+LXXXXVIIII = CCXXI (122+99 = 221)

Evidence that the Romans probably sometimes did their calculations in the above manner can be found in the reference book 'History of Mathematics' volume 2 by David Eugene Smith first published in 1925 and ISBN 0486 204 308

For example LXXXVIIIIS (89.5) is simplified to SXC (100-10.5 = 89.5)

Roman numerals: M=1000, D=500, C=100, L=50, X=10, V=5. I=1 and S=1/2

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Q: How would you actually add together 14 19 89 and 99 using Roman numerals showing your work in step by step stages and giving reasons for your answer?
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How would you add together 999.5 and 999.5 using Roman numerals showing step by step details of your work?

The way in which we write out Roman numerals today is different to the way that the Romans actually did themselves and as a consequence it's difficult if not possible to write out the equivalent of 999.5 into Roman numerals in today's format of them. But the Romans would have worked out the equivalent of 999.5 on an abacus counting board as DCCCCLXXXXVIIIIS and then simplified it to SM (1000-0.5) in written form making addition straightforward as follows:- SM+SM = IMM (2000-1) Due to changes in the rules governing the Roman numeral system today we would write out the equivalent of 1999 as MCMXCIX rather than IMM. Roman numerals: M=1000, D=500, C=100, L=50, X=10, V=5, I=1 and S=1/2


How would you add together 1776 plus 99 plus 1907 in two different ways showing both completed calculations entirely in Roman numerals with reasons why?

When in Rome do as the Romans do because the ancient Romans would have probably added together the given numbers in either of the following configurations:- As: MDCCLXXVI+IC = MDCCCLXXV => 1776+(100-1) = 1875. MDCCCLXXV+CMMVII = MMMDCCLXXXII => 1875+(2007-100) = 3782. Or as: MDCCLXXVI+LXXXXVIIII = MDCCCLXXV => 1776+99 = 1875. MDCCCLXXV+MDCCCCVII = MMMDCCLXXXII => 1875+1907 = 3782. Note that in todays modern configuration of Roman numerals 99 and 1907 are now considered to be XCIX and MCMVII respectively. The above calculations are fairly simple and straightforward but for more complicated calulations the Romans would have used an abacus counting device.


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In todays modern configurations of Roman numerals the equivalent of 1, 99 and 1900 are now officially set out as I, XCIX and MCM respectively which makes mathematical interaction amongst them quite difficult.Yet there is evidence to suggest that the ancient Romans would have probably added together the equvalent of the given numbers in either of the following formats:-A: I+IC+CMM = MM => 1+(100-1)+(2000-100) = 2000B: I+LXXXXVIIII+MDCCCC = MM => 1+99+1900 = 2000Note that for more complicated arithmetical problems the ancient Romans would have made use of an abacos calculating board.QED

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When in Rome do as the Romans do because the ancient Romans would have probably added together the given numbers in either of the following configurations:- As: MDCCLXXVI+IC = MDCCCLXXV => 1776+(100-1) = 1875. MDCCCLXXV+CMMVII = MMMDCCLXXXII => 1875+(2007-100) = 3782. Or as: MDCCLXXVI+LXXXXVIIII = MDCCCLXXV => 1776+99 = 1875. MDCCCLXXV+MDCCCCVII = MMMDCCLXXXII => 1875+1907 = 3782. Note that in todays modern configuration of Roman numerals 99 and 1907 are now considered to be XCIX and MCMVII respectively. The above calculations are fairly simple and straightforward but for more complicated calulations the Romans would have used an abacus counting device.