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The grouping process of roman numerals is just repetitive addition, yes, but it doesnt require any memorization more complex than iiiii = v and the equivalents, and its the same rules as for addition. The algorithm is simpler than having addition tables and multiplication tables. Have you ever wondered how to add, subtract, multiply, and divide using roman numerals?
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On one hand, well give the simple answer that the romans didnt actually do what you think; On the other hand, well consider what they actually did. How did the romans actually do any mathematical calculations with roman numerals? Without the concept of places (units, tens, etc. ) how did they add, subtract, multiply, divide, sell slaves, and build aqueducts?
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All that is required for the roman multiplier is to learn 7 rules, each rules for each of the number representations, i, v, x, l, c, d, and m. They would also need to know the relative position of these representations, ie ivxldm. The most basic arithmetic in roman numerals is actually pretty easy: Addition and subtraction are simple, and its obvious why they work. On the other hand, multiplication and division are *not* easy in roman numerals.
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