That would be the set of all non-zero numbers. If by number you actually meant whole numbers, that is integers, then it would be the set of all non-zero integers. They are also called Additive Inverses. For example, -5 is the additive inverse of 5, because 5 + (-5) = 0. Similarly, 7 is the additive inverse of -7 because (-7) + 7 = 0.
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Every positive rational number and its negative are the two square roots of the same positive rational number.
Yes, all integers are considered to be real numbers.
A negative integer. Every time.
Yes. The letter i denotes the value of the "positive square root" of -1. So i² = -1. But also (-i)² = -1 as well. Remember that for every number there is a "positive" and "negative" square root. So if you want the square root of -4, you can do this: -4 = (-1)(4). So sqrt(-4) = sqrt[(-1)(4)] = sqrt(-1)*sqrt(4) = i*2 or -i*2. We usually write these as 2i and -2i.
true because if it is an absolute integer it cant be negative and 0 is nor a negative number or positive. so it would always be positive. Example- l-7l its absolute value would be 7, or l4l its absolute value would be 4.