Question

why we can't devide 0 by 0 (0÷0) .why its ans became infinity...
plz describe​

Answer 1

Well, 0/0 is not infinity, it's just not defined .... you can't have a value for 0/0

Reason 1 (for middle school)

x/y = ?       simply means find a number m such that y*m = x .....

but 0/0 = ?  => 0*? = 0       can't have a single value, because every possible number is a solution of this equation... integers, reals, complex ...

it just can't be a single number and we don't have a single name for such numbers that can be any number simultaniously ... that's just undefined !

( that also means that 0*m=3 is also not possible )

Reason 2 (for high school)

Hello high schoolers....

If people just believed that division by 0 is not possible, calculus would have never been invented (and no one would know Newton). But that's not the case....

In calculus, we make a narrow context where 0/0 makes sense...

consider the graph of function y = x^2

the derivative i.e. slope = hieght / width   as height and width

approach 0

but the derivative is not just any number ...

in this case, $\frac{d}{dx}(x^2)=2x$

or $\frac{d}{dx}(x^{n})=nx^{n-1}$

the derivative has a very narrow context for the possible values of 0/0, namely the tangent to the function at a specific point.

Calculus helps in understanding how two or more variables behave one others change without actually measuring them.

You can learn it in more detail in your calculus classes.

I'm just a high school student. That's how much I know, there are several other reasons why 0/0 is considered undefined but I don't understand them all.

Just search youtube for videos from eddie who, numberphile, 3b1b, blackpenbluepen or mathologer....