It is 1875
MDCCCLXXV
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.
Not withstanding today's modern notation of Roman numerals in as much that the ancient Romans would have probably worked out the required calculations as follows: MDCCLXXVI+IC = MDCCCLXXV => 1776+(100-1) = 1875 MDCCLXXVI+LXXXXVIIII = MDCCCLXXV => 1776+99 = 1875 MDCCLXXVI-IC = MDCLXXVII => 1776-(100-1) = 1677 MDCCLXXVI-LXXXXVIIII = MDCLXXVII => 1776-99 = 1677
X*LXXV = DCCL X*LXXV = DCCL V*LXXV = CCCLXXV When added together: MDCCCLXXV (75*25 = 1875)
Nowadays the modern way of converting 99 into Roman numerals is now considered to be XCIX but back in the past the ancient Romans would have worked it out on an abacus calculating board as LXXXXVIIII which can be logically abridged to IC thus facilitating the speed and ease of the required calculations as follows:-MDCCLXXVI+IC = MDCCCLXXV => 1776+(100-1) = 1875MDCCLXXVI+LXXXXVIIII = MDCCCLXXV => 1776+99 = 1875MDCCLXXVI-IC = MDCLXXVII => 1776-(100-1) = 1677MDCCLXXVI-LXXXXVIIII = MDCLXXVII => 1776-99 = 1677Note that in mathematics -(100-1) changes to 1-100 and that subtraction is achieved by cancelling out the numerals whereas addition is achieved by adding the numerals.QED
Nowadays we would convert the equivalent of 99, 1776 and 1900 into Roman numerals as XCIX, MDCCLXXVI and MCM respectively which inhibits their ability to interact with each other:-But the ancient Romans probably added the equivalent of 99, 1776 and 1900 in either of the following formats:-IC+MDCCLXXVI = MDCCCLXXV => (100-1)+1776 = 1875MDCCCLXXV+CMM = MMMDCCLXXV => 1875+(2000-100) = 3775Alternatively:-LXXXXVIIII+MDCCLXXVI = MDCCCLXXV => 99+1776 = 1875MDCCCLXXV+MDCCCC = MMMDCCLXXV => 1875+1900 = 3775Values: M=1000, D=500, C+100, L=50, X=10, V=5 and I=1Note: 5*I=V, 2*V=X, 5*X=L, 2*L=C, 5*C=D and 2*D=MQED
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