Question
How will you multiply two numbers given in Roman numerals, without converting them to Hindu numerals? Try to find the product of the following pairs of landmark numbers : V × L, L × D, V × D, VII × IX.
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Answer
Multiplying two numbers given in Roman numerals without converting them to Hindu-Arabic numerals can be done using methods such as repeated addition or doubling and halving techniques.
For example, to compute V × L, we add V (five) a total of L (fifty) times.
(i) V × L = L + L + L + L + L = 50 + 50 + 50 + 50 + 50 = 100 + 100 + 50 = CCL.
(ii) L × D = D + D + D + ….. 50 times = 500 + 500 + 500 + ……. 50 times = 25,000
(iii) V × D = D + D + D + D + D = 500 + 500 + 500 + 500 + 500 = 1000 + 1000 + 500 = MMD.
(iv) VII × IX = VII + VII + VII + VII + VII + VII + VII + VII + VII = 7 + 7 + 7 + 7 + 7 + 7 + 7 + 7 + 7 = 63 = 50 + 10 + 3 = LXIII.
For example, to compute V × L, we add V (five) a total of L (fifty) times.
(i) V × L = L + L + L + L + L = 50 + 50 + 50 + 50 + 50 = 100 + 100 + 50 = CCL.
(ii) L × D = D + D + D + ….. 50 times = 500 + 500 + 500 + ……. 50 times = 25,000
(iii) V × D = D + D + D + D + D = 500 + 500 + 500 + 500 + 500 = 1000 + 1000 + 500 = MMD.
(iv) VII × IX = VII + VII + VII + VII + VII + VII + VII + VII + VII = 7 + 7 + 7 + 7 + 7 + 7 + 7 + 7 + 7 = 63 = 50 + 10 + 3 = LXIII.
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