Today we would write out 99 and 19 in Roman numerals as XCIX and XIX respectively but during the times of the Romans they were calculated as LXXXXVIIII and XVIIII then probably simplified to IC and IXX in written form.
In fact the Latin word for IC is 'undecentum' which means one from a hundred and the Latin word for IXX is 'undeviginti' which means one from twenty. The numerals written out in this form makes multiplication a lot easier because:-
I*IC = +I-C
X*IC = -X+M
X*IC = -X+M
Compilation: MMI-CXX = MDCCCLXXXI (2001-120 = 1881)
Remember that a minus numeral multiplied by a minus numeral produces a positive numeral. So: -I*-I = I
For more complicated calculations the Romans would use an abacus counting board.
Equivalents: M=1000, D=500, C=100, L=50, X=10, V=5 and I=1
Roman numerals are used to indicate main ideas, capital letters to indicate major details, and Arabic.
Roman numerals:IX*IX = LXXXILXXXI/III = XXVIIXXVII+LXXIII = LXXXXVIIIII => CArabic numerals:9*9 = 8181/3 = 2727+73 = 100
First multiply 14 by 15 then multiply the result by 16 to find your final answer. Note that 14 in Roman numerals is XIIII (14) or IXV (15-1) and not XIV. IXV times XV = X(-I+XV)+V(-I+XV) Multiplying out the brackets = -X+CL-V+LXXV When simplified = CCX (210) CCX times XVI = X(CCX)+V(CCX)+I(CCX) Multiplying out the brackets = MMC+DDL+CCX Answer when simplified = MMMCCCLX (3360) Numerical values: M=1000, D=500, C=100, L=50, X=10, V=5 and I=1. David Gambell, Merseyside, England.
Notwithstanding today's notation of Roman numerals the numbers of 19, 49, 99 and 499 would have probably been notated as IXX, IL, IC and ID respectively during the Roman era which makes addition straightforward as follows:- IXX+IL = IILXX (68) IILXX+IC = CLXVII (167) CLXVII+ID = DCLXVI (666) When writing out Roman numerals use the least amount of numerals whenever possible
You can find details on this algorithm in the Wikipedia article "Ancient Egyptian multiplication".
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Roman numerals are used to indicate main ideas, capital letters to indicate major details, and Arabic.
Today we would write out 45 and 49 in Roman numerals as XLV and XLIX but during the Roman era they were probably written out as VL (-5+50=45) and IL (-1+50=49) which would make multiplication a lot easier because:- I*VL = V-L and L*VL = -CCCL+MMD Compilation: V-L-CCL+MMD = MMCCV (2205) Remember that in mathematics a minus number multiplied by a minus number produces a positive number. So -I*-V = V (-1*-5 = 5) Roman numerals: M=1000, D=500, C=100, L=50, X=10, V=5 and I=1
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