Question

My math teacher told me to answer and explain the answer for: 0/0=

Answer 1

It is "indeterminate", i.e. not defined.

Answer 2

explain why its not defined

Answer 3

when there is something over 0 than itll be undefined cuz 8/0 u cant actually divide it

Answer 4

so any number over 0 is always undefined

Answer 5

If we think of division as the inverse (the opposite) operation to multiplication, e.g.
\[
\frac{6}{2} = 3\]means
\[
2 \times 3 = 6.\]In general, if you have numbers \(a,b,c\), then
\[
\frac{a}{b} = c\]means
\[
b\times c = a.\]Now, let's say
\[
\frac{0}{0} = a.\]Then \(0a = 0\), which allows \(a\) to basically be any number. That's why it's not defined.

Answer 6

By just definition, if you have a division like:
(a/b)= c, then this means you can also go backwards and say that c times b = a
If you have something like (0/6) = 0, well this is valid because I can go backwards and multiply 0 times 6 to get 0. But if I have the 0 on bottom (6/0) = 1 for example. Well, there is no possibleway for me to go backwards. I cannot say 1 times 0 = 6. I cannot say anything times 0 = 6. This is why it is not possible and therefore undefined.

Answer 7

Looks like I just repeated what was above, lol.

Answer 8

thanks guys for your help!

Answer 9

As long as it all makes sense xD

Answer 10

I wish I could give you guys a medal

Answer 11

No biggie. If we're only here for medals then shame on us xD

Answer 12

I agree with Psymon there :-)

@tryder You're welcome!