System including symbols and rules of use for these symbols allowing us to write and refer to various numbers.
Property
A numeral system normally includes writing rules that concern the value of symbols depending on their position in the writing. If the rules apply to the position of the digits (symbols) in the written form of a number, we say that the system is positional.
Examples
The written forms of numbers for the Egyptians, the Babylonians, the Mayans, and later for the Romans and Arabs are numeral systems, which means a set of symbols and rules that allow us to represent quantities. These representations are called numbers.
The decimal numeral system is a positional numeral system.
The Egyptian numeral system, which used hieroglyphs to represent quantities, was not a positional numeral system.