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it is an abomination!!
If we are doing 10/5, then it is 2 since 2*5=10. If you have 1/0, there is not one x that satisfies x*0=0. So we say it is undefined.
You know what's even worse, 0/0?
that's not true
anything other than infinity times 0 will be 0
There has to be only one x
im surprised noones made an imaginary number for it yet and called it the discovery of the century...... why does "i" get to have all the fun :)
what about 1*0=0 and 2*0=0
You couldn't possibly make it an imaginary number. This is why. http://www.jimloy.com/algebra/two.htm
Yes i know you were joking :p
sure you can.... just say: this is what 1/0 is...q. there, we did it :)
But not in the same way that i = root(-1)
You guys are nerds
lol .... technicalities. let the braniacs figure that part out :)
Just because one number doesn't satisfy something doesn't mean it doesn't exist, look at higher order partial derivatives with multi variables, they have infinite number of values because it is a 3 dimensional object.
can't we say a divison problem is linear and it only crosses the x axis once so it should only have one solution provided that the rational functions do not have polynomials of degree greater than 1
Just because it crosses the x axis once doesn't make it linear. Look at the graph of ln(x).
i know. I'm just trying to justified why 1/0 is undefined
I'm guessing you're only talking about first order polynomials?
1/0 is undefined is definitely for the genius
I hate it when people in elementary always expect an explanation
like each integer we do division on by another integer leaves us with a unique integer, except when zero is involved in the denominator
which is an integer/integer
Well 0 is really cool because the limit of 1/0 approaches infinity, it's a cool concept I think. Just because it's undefined doesn't mean it's not useful to know.
Okay here's the simplest explanation. You have a cake and 2 people want to eat it, so 1 cake / 2 people = 1/2 cake for each. But if you have 1 cake and 0 people, then how much cake does each person get?
are there imaginary people
There are 0 people, so each person can't get 0
How do you give out cake to 0 people, how do you determine that?
we can give out 5 to each of the 0 people
each 0 person gets as much cake as they want :)