Roman number system is a

The correct answer is Non-positional number system.

Key Points

• A non-positional number system means the value of a symbol does not depend on its position in the numeral.
• Roman numerals use specific symbols like I, V, X, L, C, D, and M to represent numbers.
• In Roman numerals, the same symbol can have different values based on its combination with other symbols.
• It does not use a base like positional systems (e.g., base 10 for the decimal system).

Additional Information

• Positional number system: In a positional system, the value of a digit depends on its position in the number. For example, in the decimal system, the digit "2" in "20" represents 20, while in "2" it represents 2.
• Both (1) and (2): This option is invalid as a numeral system cannot simultaneously be positional and non-positional. Roman numerals strictly belong to the non-positional category.
• None of these: This option does not provide a valid answer, as Roman numerals clearly fall under the non-positional category.
• Important terms: Non-positional systems are less efficient for complex calculations and are mostly used for historical or aesthetic purposes. Examples include Roman numerals and ancient Egyptian numeral systems.