Quandaries
and Queries 

Hi, my name's David and I'm in college in York, PA. I've been to your site and am interested on the subject of division by 0. It's easy enough to give answers, but it's very hard, especially in this case, to make someone understand a mathematical problem. It's been about a year since my Calc class, and we never went over division by 0, only infinite numbers and such. My question is: How would you work a problem of (real number) / 0? As ignorant as it may sound to you, I am having trouble grasping this since I've only begun to understand some of it. Perhaps you could help. Thanks, David 

Hi David, Think of division as the inverse operation to multiplication. That is I want to think of
and
as equivalent satements. This is certainly true if b is not zero, but what if b = 0? There are two cases to consider. Case 1: c is not zero.
Case 2: c = 0
The answer to your question of "How would you work a problem of (real number) / 0?" is to say that division by zero is not allowed. Harley 

