On Oct 7, 2012, at 6:49 PM, Esteban Izaguirre <esteban...@gmail.com> wrote:

> Hi, I'm following coursera's learn to program: the fundamentals, which 
> teaches programming basics in python. Our first assignement involves the 
> modulo operator with a negative divident, and while I've managed to get to 
> understand it enough for the purposes of the assignement with help from othe 
> rstudents, I still don't know how the hell it works, I wouldn't know how to 
> use modulo in another situation if it ever arised. So, i undertand how modulo 
> works when only positive numbers are used, but how does modulo determine, 
> that, say -15 % 14 is equal to 13? Or -20 % 100 is 20? I just don't get how 
> modulo works, all explanations I've found online only seem to be in relation 
> of how this applies to perl or something, can someone explain it to me? 
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After reading all the other (good) answers, let me try one other way to think 
about it.

First, for positive integers consider 15/12 = 1 and 15%12 = 3.  So 12 * (15/12) 
+ 15%12 = 15  and we are back where we started.

In order to be able to perform the same operations on a negative dividend, it 
has to work the way you find puzzling.

Consider:  -15/12 = -2 and -15%12 = 9, which is the way it has to be in order 
for 12 * (-15/12) i.e. -24 plus -15%12 i.e. 9 to equal -15.

-Bill
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