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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?

Why are we not allowed to divide by zero?

On dividing by zero. Let's explore the issue of dividing by zero. We are told it is not allowed. Why?

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.

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 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.

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway widget below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.