right, you would get a better hold of the idea of infinity as you grow up

for the moment, think like this - division of a number by 0 is mathematically impossible, and we do not get any result out of it which we can quantify - it can not be counted, so we place an undefined figure there called infinity in the place of the result; therefore it being immaterial whether we divide by 0 a -ve number or a +ve number, however small or big, irrespective of signs, we get the same undefined value of infinity

however, mathematics does not say that division by 0 is

*not possible; *mathematics simply says what we get for now is infinity ...

and you know why we get infinity when we divide by 0? you would be learning it in higher mathematics - well it is something like this:

when in a fraction x/y where x is constant, let us say y = 10, you get x/y = x/10 = some a; now let us say y = 5, you get x/y = x/5 = some b where b > a (you can put some value for x and check this) ...

now let us say y = 2, you get x/y = x/2 = some c where c > b > a; now put y = 1, you get x/y = x/1 = some d (which is equal to x) where d > c > b > ...

now put y = 0.5 you get x/y = x/0.5 = some e, where e > d > c > ...

now put y = 0.2 you get x/y = x/0.2 = some f, where f > e > d > ...

now put y = 0.1 you get x/y = x/0.1 = some g, where g > f > e > ...

now put y = 0.05 you get x/y = x/0.05 = some h, where h > g > f > ...

now put y = 0.02 you get x/y = x/0.02 = some i, where i > h > g > ...

... (and the argument continues ...)

as you therefore experimentally notice, in the fraction x/y as we decrease y, the value of the fraction is increasing, i.e. x/y as a result is higher as y is lower in the denominator; in calculus which you will learn soon we re-phrase this like - x/y tends to be higher than ever before as y tends to be lower than ever before a value; putting some math terminology in, we now have

x/y tends to be higher than ever before as y tends to be 0, the least possible positive number available but not positive

as y goes low x/y goes high as you can plot a graph of x/y against y

as if y becomes 0 i.e. so low, x/y goes so high as if we can not comprehend how high, so to say we don't have so much of a graph sheet available to plot that value there

so this very high value of x/y as y tends to 0 (written y->0) is now un-plottable or so big as to be un-reachable to mathematical perception which is therefore given a new term infinity

since this very high x/y can not be defined or plotted on graph when y = 0 therefore y can never actually be = 0 but can only tend to 0 i.e. y->0

therefore as y = 0 is not feasible we said division by 0 is not possible since it yields so high an imperceptible a value to our intellect that we can not plot it on graph sheet

mathematically, we write it as x/y -> ~ as y -> 0 (sorry ~ is the only symbol i got on my lappy to mean infinity for now

)

so that's it