They're All Wrong!! Division By 'Zero" Cannot Be Defined As "Illegal!"

"Why is division by zero illegal?
 
 
"The short answer is that 0 has no multiplicative inverse, and any attempt to define a real number as the multiplicative inverse of 0 would result in the contradiction 0 = 1."

Nope. 1/0 is the number that when multipled by 0, is 1. Which is, 1/0. Which is 0*(1/0) equals 0/0, equals 1!

How does 0/0 = 1? It equals 0.

1/infinity is 0. Then 1/infinity is a number.

Because 0 goes into 0, 1 times.

...Or 2 or 3...

But still 1 times.

0 goes into 0 zero times. Because you can't get something from nothing.

Also, 1/0 is infinity. Because 0 goes into one 1, 2, 3, 4, 5, well--infinity times.

The ratio of 0 to 0 is any number. Including 1.

If x*0 is 0. Then (x*0)/0 is x.

Any x.

Make sense?