Quote:
Originally Posted by aflametotheground
Division is the operation that yields c from combining a and b ( a/b =c ) such that c*b = a.
So that means if a and b = 0, then every c is a solution, e.g 3*0=0.
When you call "division" and "operation" what are the conditions that you are using to apply to the word "operation." That is, what exactly do you view an operation to be?
The standard definition is that division is a binary operation that takes two real number inputs (where the second real number is not allowed to be zero) and outputs a single real number. (Technically, division is a function from RxR* to R.)
So you can say that every c is a solution to the equation you wrote down, but that doesn't help division be an operation.