adding a negative
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When you multiply any number by a negative number you reverse its sign. So positive numbers become negative, and negative numbers become positive. That is the meaning of negative multiplication; it is reversal. This is similar to the way that adding a negative number has the same effect as subtracting a positive number. Negative is the opposite of positive.
Subtracting a fraction is the same as adding its negative.
It is the same thing, since "integers" consists of positive and negative numbers (and zero).
Yes (when the power is a positive integer). It is possible to have powers that are negative, rational, irrational and even complex and there are similar rules for dealing with them.
If an altitude above sea level is positive, then an altitude below sea level is negative.If having money is positive, having a debt is negative.If gaining money is positive, losing money is negative (a negative gain).If an increase in speed is a positive acceleration, a decrease in speed is a negative acceleration.Any other similar case, where you define one thing as positive, and its opposite as negative.