Does any number divided by zero equal infinity and if not why not?

Answer 1

A number divided by zero is held to not equal infinity, or anything else, and this is purely convention.

In reality, as zero represents "nothing", you could easily fit an infinite amount of "nothing" into a "something".

One can see this by taking "10" as the "something".

Now ten can go into that "10" one time. A perfect fit, so to speak.

Five can go into that "10" two times. Why? Because five is half of ten, and two halfs go into a whole two times.

One can go into that "10" ten times. Why? Because one is 1/10th of ten, and a tenth goes into a thing ten times.

Now from this we can take it still further. "Point Five" would go into that "10" twenty times. "Point One" would go into that "10" a hundred times.

Please note that the smaller the number, the more of it will go into that "10" - or any other number over zero! One can also say that the closer you get to zero, the more of that increasingly small quantity will go into that "10" - or any other number over zero.

Thus when you get down to a "zeroth" particle, that could go in to "10" (or any other number over zero) an infinite amount of times.