Rounded Division: Finding the Nearest Whole Number in Math

[johann1301]

If we take 12 and DIVIDE it by 7 we get about 1,714…

But is there a mathematical operator/symbol similar to DIVISION witch rounds the answer to the lowest whole number? In this case; one

and the opposite:

Is there a mathematical operator/symbol similar to DIVISION witch rounds the answer to the higest whole number? In this case; two

Thanks.

 

[Mentallic]

Yes, it's called the floor and ceiling operators:

http://en.wikipedia.org/wiki/Floor_and_ceiling_functions

 

[eddybob123]

I think the op means an actual function, such as x^2 /3x or something. (just an example)

 

[HallsofIvy]

"Floor" and "ceiling" are "actual functions". If you mean something else you will have to explain what you mean by "function".

 

[Mentallic]

I think the op means an actual function, such as x^2 /3x or something. (just an example)

I know what you're thinking but those kinds of functions are mostly continuous and what the OP is looking for is a step function which is discontinuous at infinitely many points.

There is a reason why the Floor and Ceiling functions were constructed