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How did multiplicative grouping systems represent numbers such as 7,392?
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numerals and numeral systems
Examples of ancient symbols for the numbers 1 and 10.
In multiplicative grouping systems, special symbols are assigned to powers of a base (such as 10, 100, and 1,000) as well as to the digits 2 through 9. Instead of repeating a symbol multiple times to represent a value, the system uses the digit symbol alongside the power-of-base symbol to indicate multiplication.
For example, if 1, 2, 3, ..., 9 are designated in the standard way, and 10, 100, and 1,000 are represented by the symbols X, C, and M respectively, the number 7,392 would be written as 7M3C9X2. This approach significantly reduces the number of symbols required compared to simple additive grouping systems. The most prominent historical example of this notation is the Chinese numeral system.1