# Mathedu

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# Re-engineering Math

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## Zero Divide: why it is an error

If you try to divide any number by 0 on your calculator, it displays an ERROR. Try it with 1/0, 10,000/0 or even 0/0. Is that normal?

It will tell you the truth about it: it is completely normal. This is in the theory of division in maths and has something to do woth the multiplication by 0.

What is the problem? You should remember first that the division is the reverse operation of the multiplication: a/b is the number c so that b x c = a. For instance, 6/2=3, because 2 x 3 = 6.

Now, let's try to calculate, say 6/0. It should be the number q so that 0 x q = 6. But 0 x q is equal to 0 for any q. So it is never equal to 6!

That is why there is an ERROR when you try to divide 6 by 0.

And bexause of the fact that 0 times any number is always equal to 0, if you try to divide a NON ZERO number by 0, there is no solution.

And what about 0/0? Any number q is the solution of 0 x q = 0. So there are far too much results of the division of 0 by 0!

It is what is called an UNDETERMINATE operation, and it deals to an ERROR too.

So, if you wandered why you were asked to never divide by zero, now you know the reason…