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The sum of the absolute values of two numbers is greater or equal than the absolute values of the sum. It will be equal if both are positive or both are negative; greater if one is positive and one is negative. Try it out with some sample numbers!
They do not always. The sum of two negative numbers is negative.
If the positive number is greater than the negative, it's a positive. Ex: 8 + (-3) = 5 If the negative is greater though, then the answer is a negative. Ex: 3 + (-5) = -2
Because two negative multiplied together equal a positive. So after the first multiplication we have a positive and a negative. When we multiply these we have a negative.
A negative times a negative always equals a positive, no matter what the numbers are.