Question

Do 10 divide by 0 and 0 divide by 10 have the same answer?

Answer 1

No.

`10/0` is UNDEFINED

`0/10=0`

Explanation:

Start from a definition of an operation of division.
`a` divided by `b` is such a number `c` that `a=b*c`.

So, `10/0` must be such a number that, if multiplied by `0`, gives `10`. But any number multiplied by `0` gives `0`, not `10`.
Therefore, `10/0` is UNDEFINED.

Next, `0/10` is a number that, if multiplied by `10`, gives `0`. The only number with such a property is `0` because `0*10=0`. Any other number, multiplied by `10`, will not result in `0`.
Therefore, `0/10=0`.