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0 (zero ; / ˈ z iː r oʊ / ZEER -oh ) is both a number and the numerical digit used to represent that number in numerals . It fulfills a central role in mathematics as the additive identity of the integers , real numbers , and many other algebraic structures. As a digit, 0 is used as a placeholder in place value systems . In the English language , 0 may be called zero , nought or (US) naught ( / ˈ n ɔː t / ), nil , or "o ". Informal or slang terms for zero include zilch and zip . Ought or aught ( / ˈ ɔː t / ) have also been used historically.

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