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Number System Definition, Types, Conversion, Examples, Facts The set of integers forms a ring with the operations addition and multiplication. Numbers should be distinguished from numerals, the symbols used to represent numbers. The Egyptians invented the first ciphered numeral system, and the Greeks followed by mapping their counting numbers onto Ionian and Doric alphabets. The key to the effectiveness of the system was the symbol for zero, which was developed by ancient Indian mathematicians around 500 AD. The word "number" is a general term which refers to a member of a given set. The meaning of "number" is often clear from context (i.e., does it refer to a complex number, integer, real number, etc.?). At the same time, the Chinese were indicating negative numbers by drawing a diagonal stroke through the right-most non-zero digit of the corresponding positive number's numeral. The first use of negative numbers in a European work was by Nicolas Chuquet dur