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Divide by Zero

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Why are we not allowed to divide by zero?
Why is dividing by a fraction the same as multiplying by the reciprocal?
Why zero factorial equals one?

Divide by zero
On dividing by zero. Let's explore the issue of dividing by zero. We are told it is not allowed. Why?
Division by Zero - Why We Can't!
Many students, from 6th grade through the first term of calculus ask why can't we divide by zero. This video gives a simple explanation as well as a more advanced explanation of why we can't divide by zero. Btw, it isn't infinity, as this video makes clear.

Why is dividing by a fraction the same as multiplying by the reciprocal?
Is it at all obvious that dividing by 4/7 is the same as multiplying by 7/4? We are all told to do this. Is it true? Let's find out!
Why zero factorial equals one?
Why does 0! equal one?
This is weird! Multiply together all the digits from one up to zero and get one?
This video explains simply why mathematicians choose (and it is a choice!) to set this illogical quantity as equal to one.

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