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Never.
Zero is never a divisor. If you ever see a fraction or a problem where zero is adivisor, you can stop right there and toss the whole thing. In the language ofmath, "Division by zero is not permitted".
The sum of zero and any integer is never zero.And it's still 'integer', not 'interger'.
Division by an integer is always defined only when the divisor is not zero
The opposite of zero - in the sense of additive inverse - is zero.