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March 7th, 2014, 01:42 PM  #1 
Senior Member Joined: Feb 2014 From: Louisiana Posts: 156 Thanks: 6 Math Focus: algebra and the calculus  Purpose of remainders?
What is the purpose of remainders in division? For example, 71/5 = 14 R 1, but also 71/5 = 14 + 1/5. Wouldn't the latter equality be more useful for calculations?

March 7th, 2014, 03:38 PM  #2 
Member Joined: Feb 2013 Posts: 80 Thanks: 8  Re: Purpose of remainders?
In terms of discrete math, remainders are especially helpful. Same with computing. Suppose you are working in a system that only handles integers. 

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