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The failure of the Roman number system

Why is it that the Roman numerals are mainly used for decorative purposes? In Greece, Archimedes was very good manipulating very large numbers.

But the failure of the Roman number system is not only with the numerals, it is mainly with the mathematical operations, specially the lack of the exponentiation operation.

A Roman emperor is shocked by the failure of their number system.

The following illustration is about that.

A Roman emperor is shocked by the failure of their number system.
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