October 1st, 2018, 04:51 AM  #1 
Member Joined: Apr 2011 Posts: 31 Thanks: 0  Modulo negative integer
Why can't we have modulo negative number? I have never seen this.

October 1st, 2018, 04:57 AM  #2 
Senior Member Joined: Feb 2016 From: Australia Posts: 1,765 Thanks: 623 Math Focus: Yet to find out.  
October 1st, 2018, 05:02 AM  #3  
Senior Member Joined: Oct 2009 Posts: 733 Thanks: 247  Quote: This is indeed very uncommon, but it is entirely welldefined. Notice that x=y mod N if and only if N divides xy. But N divides xy if and only if N divides xy. So modulo N is the same as modulo N. Even modulo 0 and modulo 1 are welldefined. The integers modulo 0 are just the integers themselves, for example.  

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integer, modulo, negative 
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