Question related to absolute value
I know that we should assume that a negative sign outside an absolute value symbol is a negative 1 then we would multiply after solving the absolute value. However, when there is a number to the left side of the sign outside the absolute value symbol do we assume that's a negative 1 or do we assume that its a minus sign operator?
Example:
-[3]=-1*3=-3
In this case we multiply because there's a negative one. Doin these instead is wrong: -[3]=-1+3=2. BTW, I know it's wrong but I don't know why. It would be great to know why. Don't know if it involves some math philosophy.
And my other example was:
10-[1-4]=
10-[-3]=
10-3=7
Or should it be done like this:
10-[1-4]=
10-1*[1-4]=
10-1*[-3]=
10-1*3=
10-3=7