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The number 0 (zero) is a number representing an empty quantity, which means the absence of any amount or value. Adding or subtracting 0 to any number leaves that number unchanged, so it acts as the additive identity in mathematics. Multiplying any number by 0 results in 0, but dividing by 0 is generally undefined. Zero plays a crucial role as a placeholder in positional number systems, indicating the absence of a certain power of ten or other base. It is the smallest nonnegative integer and also the largest nonpositive integer. Zero can be seen as neither positive nor negative and is central on the number line. It is considered an integer, a rational number, and a real number. Zero was invented independently in India and Mesoamerica and has significant historical and mathematical importance.