Why can you never divide by zero in the set of real numbers?

Question

Extrinix · Answer

You can't divide by zero because the rule of mathematics states that any number divided by zero will always be zero.

skullpatrol · Answer

Dividing by zero would mean multiping by the reciprocal of zero; but,  zero has no reciprocal ( because zero times any real number is zero, not one). Therefore, division by zero has no meaning in the set of real numbers.

Extrinix · Answer

So you answered your own question?

skullpatrol · Answer

Yes, that is the standard accepted answer in Algebra.

Extrinix · Answer

There was no point in making a question, then.

skullpatrol · Answer

The point was I was correcting your incorrect answer.

skullpatrol · Answer

@extrinix wrote:

You can't divide by zero because the rule of mathematics states that any number divided by zero will always be zero.

skullpatrol · Answer

the rule of mathematics states that any number **times**  zero will *always* be zero

Extrinix · Answer

If you don't have an actual question that you need help with, we're done here.