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Chapter 4: Problem 84

Describe one way that the Mayan system is similar to the Hindu-Arabic system and one way that it is different from the Hindu-Arabic system.

Short Answer

Expert verified
The Mayan and Hindu-Arabic numeral systems both acknowledge the concept of zero; they use a distinct symbol to represent it. The main difference is that the Mayan system is based on 20 (vigesimal), while the Hindu-Arabic system is based on 10 (decimal).

Step by step solution

01

Understanding the Mayan and Hindu-Arabic Numeral Systems

The Mayan numeral system is a non-positional system that uses 20 as its base, while the Hindu-Arabic numeral system is a positional decimal (base 10) system. In the Mayan system, three symbols represent numbers: a dot for one, a bar for five, and a shell for zero. In the Hindu-Arabic system, ten distinct symbols represent numbers from 0 to 9.
02

Identifying Similarities

One important similarity is that both systems acknowledge and incorporate the concept of 'zero'. They use a distinct symbol to represent zero, something not all numeral systems do. For Mayans, it's a shell, and for the Hindu-Arabic system, it's the numeral 0.
03

Identifying Differences

One major difference lies in the base of the systems. The Mayan system uses a vigesimal (base 20) system, while the Hindu-Arabic system uses a decimal (base 10) system. Hence, counting and calculations in the two systems operate differently and yield different representations.

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