For example, -(7.8)? and why?
The additive inverse is the number which when added to another number gives 0. In your case it would +7.8
It's very simple -- the additive inverse is the same number with the opposite sign. The opposite of - 7.8 (negative 7.8) is + 7.8 (positive 7.8). The opposite of + 7.8 is - 7.8. The additive inverse (opposite) of - 3,962.424 is + 3,962.424. The additive inverse (opposite) of + 3/4 is - 3/4. Just switch the sign from + to - or from - to +. It's called additive inverse because if you add a number to its additive inverse, you will always get 0. Don't confuse additive inverse with inverse. The inverse of 3/4 is 4/3. When you MULTIPLY a number by its inverse you will always get 1. Hope that helps!
it would be positive 7.8 because the dash in front of the absolute value sign means absolute opposite! I just finished studying this and had a test on it yesterday (100% correct) but if the positive # is on the inside and the dash is NOT in the equation then for example | 2 | 2 but it wont have the absolute value sign on the final answer. Absolute values are easy to learn about they only have a couple rules for them, but other than that you should be fine when they come your way in the future.