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0 is a number representing an empty quantity. Adding zero to or subtracting zero from any number leaves that number unchanged. In mathematical terminology, 0 is the additive identity of the integers, rational numbers, real numbers, complex numbers, and algebraic structures. Multiplying any number by 0 results in 0; therefore, division by zero is generally regarded as undefined in arithmetic. Any number to the power of 0 equals 1, except that zero to the power of zero is sometimes regarded as undefined.
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