# Division zero by zero

Discussion in 'General Math' started by halsbrecherisch, Jun 8, 2005.

1. ### halsbrecherischGuest

Is 0/0 = 0 ?

halsbrecherisch, Jun 8, 2005

2. ### Lynn KurtzGuest

No. You're welcome.

--Lynn

Lynn Kurtz, Jun 8, 2005

3. ### matt271829-newsGuest

No, 0/0 is undefined. If you like to think of it this way, you can say
that 0/0 is equal to any number you care to nominate.

In some circumstances, however, it makes sense to consider 0/0 as being
equal to a certain specific number. A typical example would be
something like f(x) = sin(x)/x. When x = 0 we have f(0) = sin(0)/0 =
0/0, which like I say is undefined.

But since lim x->0 f(x) = 1, it kind of makes sense to define f(0) = 1
to make the function continuous.

matt271829-news, Jun 8, 2005
4. ### The World Wide WadeGuest

Mmmm ... doubtful.
No, f(0) is undefined; it's not equal to anything yet.
It's good for many reasons to define f(0) = 1, but that is not
the same thing as saying 0/0 equals 1.

The World Wide Wade, Jun 8, 2005
5. ### matt271829-newsGuest

As I said, two lines down. It's undefined BECAUSE it evaluates to 0/0.
We need to define it specially if it's to have any value.
You're right, it doesn't mean 0/0 = 1 "universally". It just "makes
sense" in this instance. Not a very mathematically rigorous statement,
but it wasn't really meant to be...

matt271829-news, Jun 9, 2005
6. ### in2infinity

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If zero can be squared and rooted then it can be divided.

Let me give you an example:

Any number divided by ZERO will equal zero on a calculator
Any number divided by 1 will equal itself.
Any number divided by 2 will half the number.

If we continue to divided the the number over and over into infinity, then the result will approach ZERO. But it will never be less than ZERO.

The same applies for all other Numbers less than n. For example, if n=12 then it can be divided by any number from 2-11, but the 12th will act differently as 12/12 will equal 1.

0 = 0
1 = n
2> = n -1 = whole number divisors

Therefore the number of whole number divisors will increase in unity with each step that n increases. Finally we can see that each of these these divisor numbers will produce a particular set of numbers as they diminish towards ZERO, Each will be Unique.

The final divisor in the set (0) at the root of the number line is unique in that after one calculation, the result will be ZERO. we have managed to skip the entire set of infinite calculations (we can count the iterations as a number set).

From this view I feel dividing zero by zero also makes sense, but if you want to know more check out this website. It seems that zero can also be divided into 2 and 4!!

https://square-root.net/square-root-of-0

They also have a great root calculator.

Last edited: Apr 20, 2022
in2infinity, Apr 20, 2022
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