No. The additive identity, 0, is the only value such that A*0 = 0 for any non-zero element A of the set.
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Is the set of negative interferes a group under addition? Explain,
Yes it is.
Yes.
If you mean the set of non-negative integers ("whole numbers" is a bit ambiguous in this sense), it is closed under addition and multiplication. If you mean "integers", the set is closed under addition, subtraction, multiplication.
No. It is not a group.