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Almost 30 years ago, I was studying engineering and my math tutor spoke about 0 (zero) being special. We talked about how nothing can be divided by zero, and sure enough, enter 1/0 into a calculator produces an error. (I vaguely recall learning this in high school).

Something occurred to me and I asked him about it. Here's the steps I put in front of him:

0/0 = 1

0/1 = 0

1/1 = 1

1/0= error

But 1/0 x 0/1 = 1

I asked, how can this be. He could not give me an answer. I've asked a few math teachers since then and none could give me an answer.

Is it simply a matter of convention, or is something else going on?

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# Is 0 (zero) a convention?

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