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Using long multiplication in Roman numerals:-

D*CXXXVIII = M(LXX)

L*CXXXVIII = C(V)MM

XX*CXXXVIII = MMDCCLX

So: M(LXX)+C(V)MM+MMDCCLX = (LXXVIII)DCLX

The above in English numbers are equivalent to the following:-

500*138 = -1000+70,000

50*138 = -100+7,000

20*138 = 2,760

So: -1,000+70,000-100+7,000+2,760 = 78,660

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Q: What is the product of 138 multiplied by 570 but showing all work in long multiplication from start to finish using Roman numerals?
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Just tackle the problem in the same way as you would work out a problem in long multiplication and then add up the products as follows:- C times DLXX = (LVII) => 100*570 = 57,000 XXX times DLXX = (XVII)C => 333*570 = 17,100 V times DLXX = (II)DCCCL => 5*570 = 2,850 III times DLXX = (I)DCCX => 3*570 = 1,710 (LVII)+(XVII)C+(II)DCCCL+(I)DCCX = (LXXVIII)DCLX 57,000+17,100+2,850+1,710 = 78,660 Note that numerals within brackets indicate multiplication by 1,000.


How would you in concise details multiply 99 by 19 in Roman numerals showing all aspects of your work?

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


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Just tackle the problem in the same way as you would work out a problem in long multiplication and then add up the products as follows:- C times DLXX = (LVII) => 100*570 = 57,000 XXX times DLXX = (XVII)C => 333*570 = 17,100 V times DLXX = (II)DCCCL => 5*570 = 2,850 III times DLXX = (I)DCCX => 3*570 = 1,710 (LVII)+(XVII)C+(II)DCCCL+(I)DCCX = (LXXVIII)DCLX 57,000+17,100+2,850+1,710 = 78,660 Note that numerals within brackets indicate multiplication by 1,000.


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