What is the Absolute Value, of (1/0)?

The Absolute Value, written as [1/0], of (1/0) is simply Infinity.

Putting it in Absolute Value such as this, [1/0] Makes the said quotient "Non" Illegal, anymore.

This is wrong.

The absolute value of a number is the distance away from 0. If the number does not exist, it cannot have a distance away from 0.

(1/0)x(0/1)=0/0 equals any complex quantity.

Infinity x (1-1+i-i) IS

Infinity-Infinity+ infinity i- infinity i

equals any complex number.

So from this view point they are technically the same.

You cannot multiply 1/0 by anything, as it is indeterminate.

You cannot perform operations with infinity, such as multiplication.

And would they not cancel out? You are treating them like they are the same number.

Also, first explain to me how an indeterminate number has a distance away from 0.

It is not "indeterminate," Fo*l. Stop writing that.

If 1/0 is x

Then 0x shall be 0/0 - Equals any number, is indeterminate.