Questions arise when I type in these expressions to Python 3.3.0
-10 // 3 # -4
-10 % 3 # 2
10 // -3 # -4
10 % -3 # -2
-10 // -3 # 3
It appears as though it takes the approximate floating point (-3.33)? and rounds down either way in integer division but in the modulo operation it does something totally different. It seems like it returns the remainder +/-1 and only switches the sign depending on where the negative operand is. I am utterly confused, even after looking over other answers on this site! I hope someone can clearly explain this too me! The book says hint: recall this magic formula a = (a//b)(b)+(a%b) but that doesn't seem to clear the water for me at all.
-Thanks in advance!
Edit: Those are just my personal assessments of what happens (above), I know, I'm completely off!
The integer division there is just taking the floor of the number obtained at the end.
10/3 -> floor(3.33) -> 3
-10/3 -> floor(-3.33) -> -4
The modulo operation on the other hand is following the mathematical definition.