0 as the opposite of 3 is -3. 3+ (-3) = 0
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Any number minus itself equals zero. Any number plus its opposite equals zero. Any number times zero equals zero.
When x is not zero, it can be (x + 1/x).
It depends on what you mean by an opposite. Every real number has an additive opposite but 0 does not have a multiplicative opposite.
If by "opposite" you mean "additive inverse", the sum is zero. For example, 5 + (-5) = 0.
Any positive numbers opposite is the same number just as a negative.