0 (number)
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0 (zero) is a real number and is the integer between 1 and -1, which signifies a value of nothing. It is also a numerical digit and used as a placeholder for place value systems.
History
The number zero was invented twice - once in India and once in Mesoamerica. This invention is considered especially significant because it required a considerable cognitive leap to achieve and because it opened the door to a host of new applications for numbers.