Mdcclxxvi + mcmxcix = mmmdcclxxv
mdcclxxvi = 1000 (m) + 500 (d) + 200 (cc) + 50 (l) + 20 (xx) + 5 (v) + 1 (i) = 1776
mcmxcix = 1000(m) + 900 (cm) + 90 (xc) + 9 (ix) = 1999
⇒ mdcclxxvi + mcmxcix = 1776 + 1999 = 3775
3775 = 3000 (mmm) + 500 (d) + 200 (cc) + 50 (l) + 20 (xx) + 5 (v)
= mmmdcclxxv
Improved Answer:-
In accordance with the new rules governing today's Roman numeral system, introduced during the Middle Ages and nearly one thousand years later when there were no Romans around to verify the authenticity of these new rules, 1999 in Roman numerals are reckoned to be MCMXCIX. But to add these numerals to MDCCLXXVI in some kind of logical manner is almost an impossible task.
But in fact MCMXCIX probably equals IMM because by adding M+CM+XC+IX in the following manner their total sum is IMM:-
M+CM = CMM
CMM+XC = XMM
XMM+IX = IMM which is probably a simplification of MDCCCCLXXXXVIIII by placing I to both sides of these numerals.
So: MDCCCCLXXXXVIIII = MDCCLXXVI = MMMDCCLXXV (3775)
Presumably the changes made to the Roman numeral system were made in order for them to be easier to convert into Hindu-Arabic numerals that at the time were being gradually being introduced into Western Europe.
Roman numerals: M=1000, D=500, C=100, L=50, X=10, V=5, I=1
MCMXCIX From left to right [ M ] [ CM ] [ XC ] [ 1X ] [1000] + [1000 - 100] + [100 -10] + [ 10 -1] 1000 + 900 + 90 + 9 =1999 M = 1000 C = 100 X = 10 1 = 1
In today's terms 1999 and 99 in Roman numerals are MCMXCIX and XCIX respectively. MCMXCIX - XCIX = MCM (1000-100+1000 = 1900) Alternatively in the days of the Roman Empire the Romans themselves would have probably wrote out 1999 and 99 as IMM and IC respectively. IMM - IC = CMM (-100+2000 = 1900)
The correct conversion of 1999 into Roman numerals is MCMXCIX. In Roman numerals, M represents 1000, CM represents 900, XC represents 90, and IX represents 9. By combining these symbols together, we get MCMXCIX, which translates to 1999. The conversion IMM is not correct because it combines I (1) with MM (2000), resulting in a value of 2001.
Under today's guidelines governing the Roman numeral system 1999 converted into Roman numerals is officially MCMXCIX which doesn't seem to add up because:- 1000 = M which is M 900 = CM which is a simplification of DCCCC 90 = XC which is a simplification of LXXXX 9 = IX which is a simplification of VIIII And:- M+CM = CMM which is a simplification of MDCCCC (1900) CMM+XC = XMM which is a simplification of MDCCCCLXXXX (1990) XMM+IX = IMM which is a simplification of MDCCCCLXXXXVIIII (1999) Or:- M+DCCCC = MDCCCC MDCCCC+LXXXX = MDCCCCLXXXX MDCCCCLXXXX+VIIII = MDCCCCLXXXXVIIII Now consider the following:- M+CM+XC+IX = IMM (2000-1) CM+XC+IX+M = IMM XC+IX+M+CM = IMM IX+M+CM+XC = IMM No matter how the above numerals are arranged they will always add up to IMM or MDCCCCLXXXXVIIII in expanded format. Examples of simplification of Roman numerals can be found in the book entitled 'History of Mathematics' volume 2 by David Eugene Smith first published in 1925 and ISBN 0486 204 308. For instance LXXXVIIIIS (89.5) is simplified to SXC (100-10.5) Therefore it follows that for 1999 in Roman numerals IMM is more plausible than MCMXCIX.
It's generally acceptable to use VIIII in place of IX, so:19 = XVIIII1999 = MCMXCVIIIIAnother Answer:-Because of changes made to the rules governing the Roman numeral system in the Middle Ages nowadays we would convert the equivalent of 19 and 1999 into Roman numerals as XIX and MCMXCIX respectively which makes them incompatible in terms of arithmetical reckoning.But there is historical evidence to suggest that the ancient Romans would have worked out the equivalent of 19 and 1999 on an abacus counting device as XVIIII and MDCCCCLXXXXVIIII then abriged them into written format as IXX and IMM respectively thus facilitating the speed and ease of addition for instance as follows:-XVIIII+MDCCCCLXXXXVIIII = MMXVIII => 19+1999 = 2018Alternatively:IXX+IMM = MMXVIII => (20-1)+(2000-1) = 2018QED
Today we write out 1999 in Roman numerals as MCMXCIX because of changes made to the rules governing the Roman numeral system during the Middle Ages and to add these numerals to MDCCLXXVI is almost impossible. But the Romans themselves would have calculated 1999 on an abacus counting device as MDCCCCLXXXXVIIII and probably simplified them to IMM by placing I to both sides of the numerals. So: MDCCLXXVI + (-I+MM) = MMMDCCLXXV (3775)
In today's terms 1999 and 1776 expressed in Roman numerals are MCMXCIX and MDCCLXXVI respectively. To find the difference of these numerals is almost impossible because of the way that 1999 is expressed despite the fact that 1776 is correct. But the Romans would have probably expressed these numbers in the following manner IMM and MDCCLXXVI. IMM is a simplification of MDCCCCLXXXXVIIII So: MDCCCCLXXXXVIIII - MDCCLXXVI = CCXXIII (223) by cancelling out the numerals. Check: MDCCLXXVI + CCXXIII = MDCCCCLXXXXVIIII = IMM when simplified The way we work out Roman numerals today is different in the way that the Romans actually did themselves because the rules governing the Roman numeral system were changed in the Middle Ages. Presumably to make it easier to convert Roman numerals into Hindu-Arabic numerals that were gradually being introduced into Western Europe.
They are both the same because in todays modern notation of Roman numerals the equivalent of 1999 is MCMXCIX which means 1000+900+90+9 = 1999 But the ancient Romans would have probably gone for the simpler version of IMM which means 2000-1 = 1999
1776 = MDCCLXXVI and 223 = CCXXIII So: MDCCLXXVI + CCXXIII = MDCCCCLXXXXVIIII (1999) The Romans would have probably simplified the above numerals by placing I to both sides of them which then works out as IMM (-1+2000=1999) But according to today's rules governing the Roman numeral system 1776 plus 223 in Roman numerals add up to MCMXCIX. The former method of calculating these numerals seems more plausible than the latter. In fact if we were to write out MCMXCIX as M+CM+XC+IX they too would work out as IMM because the Romans most probably tallied them up as follows:- M+CM = CMM (-100+2000 = 1900) CMM+XC = XMM (-10+2000 = 1990) XMM+IX = IMM (-1+2000 = 1999) Today's rules governing the Roman numeral system were altered during the Middle Ages presumably to make them easier to convert into Hindu-Arabic numerals which gradually replaced them in Western Europe.
According to today's criteria 1999 converted into Roman numerals is considered to be MCMXCIX which makes it almost impossible for them to interact with other numerals in a logical mathematical progression.But the Romans themselves would have actually worked out the equivalent of 1999 on an abacus counting device as MDCCCCLXXXXVIIII which can be contracted to IMM thus facilatating the speed and ease of addition as follows:-IMM+MDCCLXXVI = MMMDCCLXXV (2000-1)+(1776) = 3775Alternatively using an abacus counting board:-MDCCCCLXXXXVIIII+MDCCLXXVI = MMMDCCLXXV (1999+1776 = 3775)Subtraction:-MDCCCCLXXXXVIIII-MDCCLXXVI = CCXXIII (1999-1776 = 223) by cancelling out the numeralsRemember that: 5*I=V, 2*V=X, 5*X=L, 2*L=C, 5*C=D and 2*D=MRoman numerals: M=1000, D=500, C=100, L=50, X=10, V=5 and I=1QED
MCMXCIX From left to right [ M ] [ CM ] [ XC ] [ 1X ] [1000] + [1000 - 100] + [100 -10] + [ 10 -1] 1000 + 900 + 90 + 9 =1999 M = 1000 C = 100 X = 10 1 = 1
In today's terms 1999 and 99 in Roman numerals are MCMXCIX and XCIX respectively. MCMXCIX - XCIX = MCM (1000-100+1000 = 1900) Alternatively in the days of the Roman Empire the Romans themselves would have probably wrote out 1999 and 99 as IMM and IC respectively. IMM - IC = CMM (-100+2000 = 1900)
Officially in accordance with todays guidelines governing the Roman numeral system 1999 when converted into Roman numerals is MCMXCIX which makes addition with other numerals an almost impossible task.But during the classical Roman period the equivalent of 1999 would have been calculated on an abacus counting device as MDCCCCLXXXXVIIII which then can be abridged to IMM (2000-1) in written form thus facilatating the speed and ease of addition as follows:-MDCCLXXVI+IMM = MMMDCCLXXV (1776)+(2000-1) = (3775)Alternatively:-MDCCLXXVI+MDCCCCLXXXXVIIII = MMMDCCLXXV (1776)+(1999) = (3775)Note that: 5*I=V, 2*V=X, 5*X=L, 2*L=C, 5*C=D and 2*D=MRoman numerals: M=1000, D=500, C=100, L=50, X=10, V=5 and I=1QED
Under today's rules governing the Roman numeral system we would write out 1999 in Roman numerals as MCMXCIX which makes it almost impossible to perform any kind of arithmetical operations with them. But the Romans themselves would have calculated 1999 on an abacus counting board as MDCCCCLXXXXVIIII and probably simplified them to IMM (-1+2000 = 1999) in written form. So: MDCCCCLXXXXVIIII - CCXXIII = MDCCLXXVI (1776) Today's rules governing the Roman numeral system were introduced during the Middle Ages but that was long after 246 AD when there were no Romans around any more in England. Presumably these new rules were introduced to make it easier to covert Roman numerals into Hindu-Arabic numerals and vice versa. Roman numerals: M=1000, D=500, C=100, L=50, X=10, V+5 and I=1
The correct conversion of 1999 into Roman numerals is MCMXCIX. In Roman numerals, M represents 1000, CM represents 900, XC represents 90, and IX represents 9. By combining these symbols together, we get MCMXCIX, which translates to 1999. The conversion IMM is not correct because it combines I (1) with MM (2000), resulting in a value of 2001.
Today we would write out 1999 in Roman numerals as MCMXCIX which makes addition with LI (51) in some kind of logical progression almost impossible. But the Romans themselves in the past would have calculated the equivalent of 1999 on an abacus counting device as MDCCCCLXXXXVIIII and probably simplified it to IMM in written form which makes addition straightforward as follows:- IMM+LI = MML (-1+2000)+(50+1) = 2050 Alternatively:- MDCCCCLXXXXVIIII+LI = MML (1999+51 = 2050)
Under today's rules governing the Roman numeral system the above numbers when converted into Roman numerals officially add up to MCMXCIX (1999) but the Romans would have worked them out differently using an abacus counting device as follows:- MCCXXIII+DCCLXXVI = MDCCCCLXXXXVIIII (1223+776 = 1999) They then probably simplified these numerals in written form to IMM (2000-1 = 1999) in the same way that VIIII (9) is simplified to IX (10-1 = 9) It's worth noting that if the numerals MCMXCIX were arranged in the form of M+CM+XC+IX then they too would add up to IMM because the Romans probably added them together in the following manner:- M+CM = CMM (1000+900 = 1900) CMM+XC = XMM (1900+90 = 1990) XMM+IX = IMM (1990+9 = 1999) The real rules governing the Roman numeral system were changed during the Middle Ages presumably to make it easier to convert Roman numerals into Hindu-Arabic numerals and vice versa.