Math Problem....

[dedafmonteur]

see, i am not so dumb as you think...lol

[FreeK]

i remember getting a email saying this was true so i gave it to my math teacher and got extra credit 

[cwn723]

Here is some math
(say R is the bar over the 9)


X=.9R
10X=9.9R
-.9R   .9R
9X=9
X=1
It is simple math, it shows that .9R=1 using rules of math.

For the frog, you guys are right, the frog will never make it......
....Unless he can jump an infinite amount of times in a finite
amout of time. this means that he must jump 1/2 the way in 1/2
seconds, 1/4 the way in 1/4 seconds, and so one. So, he will make it
if this is the situation, You cant say that 1 second will never come.

[Timmy]

Here is some math
(say R is the bar over the 9)


X=.9R
10X=9.9R
-.9R   .9R
9X=9
X=1
It is simple math, it shows that .9R=1 using rules of math.

For the frog, you guys are right, the frog will never make it......
....Unless he can jump an infinite amount of times in a finite
amout of time. this means that he must jump 1/2 the way in 1/2
seconds, 1/4 the way in 1/4 seconds, and so one. So, he will make it
if this is the situation, You cant say that 1 second will never come.

After your second line in that equation you start to make little sense at all

and if your third line means "subtract 0.9r from both sides of the equation" then your fourth line should actually look like this

10X - 0.9r = 9

if its not that you pretty much just pulled the 4th line out of thin air

and even then 9 multiplied by 0.9 recurring does not equal 9, it will equal 8.something

and you cant jump an infinite amount of times in a finite amount of time, to jump an infinite amount of times you have to be jumping forever....forever is not finite.

[cwn723]

Look at the top, we made X=.9R, so then 10X-.9R=9x, because .9R=X

And as for the frog thing, I know it isnt physically posible, but mathmatically it is.

[Reaper]

Look at the top, we made X=.9R, so then 10X-.9R=9x, because .9R=X

And as for the frog thing, I know it isnt physically posible, but mathmatically it is.

The frog thing IS physically impossible, Suppose he moved 9/10ths of the way there every time

10
1
.1
.01
.001
.0001
.00001
.000001

It'll go on forever where there will be an extremely small space left, almost non existent...

[*FuFa]

The frog thing IS physically impossible, Suppose he moved 9/10ths of the way there every time

10
1
.1
.01
.001
.0001
.00001
.000001

It'll go on forever where there will be an extremely small space left, almost non existent...

But just almost.

[cwn723]

I know it is physically impossible, that is what i said, just mathematically possible. But if you think about it, he would be soooooo close, that we would just say that he was touching, cause the gap wouldnt be visible.

[Reaper]

I know it is physically impossible, that is what i said, just mathematically possible. But if you think about it, he would be soooooo close, that we would just say that he was touching, cause the gap wouldnt be visible.

No it's mathematically impossible as well because of the gray zone
he would be .000...1 away

[IndyChav]

you are all proving and disproving yourselves and each other.
It is physically not possible in my opinion. Physics and Mathematicsare both a science which would theoretically mean they are the same. The exact matter of the fact through one of

I know it is physically impossible, that is what i said, just mathematically possible. But if you think about it, he would be soooooo close, that we would just say that he was touching, cause the gap wouldnt be visible.

Only to further support Reaper, you would have to round the number before it actually reached one. Merely stating that the frog was so close it msut be closing is scientifically incorrect. So close but no cigar.

To put it in a differnet sense.

Why would 0.9 recurring be a number if it was merely one?
I may not have the scintific know hwo as you lot do however logically it is jsut not possible.

Wikipedia:
Adjective

infinite (not comparable)

Superlative
none (absolute)

   1. Boundless, endless, without end or limits, uncountable, innumerable.

The simple fact that an "infinite" number goes on forever shows that it is the number that it is. 0.9 recurring is 0.9 recurring not 1.

However I had never thought of it the way Reaper showed ...
9/9 =1
8/9=0.8 recurring
1/9=0.9 recurring
therefore 1/9+8/9=0.9 recurring
              0.9 recurring=9/9=1

This in my eyes only shows it is possible to mathematically prove it through formual but then my logical thinking disagrees.
Therefore I deem it unsolvable =O
Grey area indeed

p.s. I hate this kind of topic o_O =P

[cwn723]

No it's mathematically impossible as well because of the gray zone
he would be .000...1 away

See, how could it be .000.....1 away  if .9 repeating goes on forever? I think i started a dumb topic with no point, just gave me a headache . I just used it from what my teacher told me in class that day, at first i didnt agree with him, but ohh well....

[Reaper]

See, how could it be .000.....1 away  if .9 repeating goes on forever? I think i started a dumb topic with no point, just gave me a headache . I just used it from what my teacher told me in class that day, at first i didnt agree with him, but ohh well....

because mathematically .9 repeating is AND isn't equal to one, however physically it's always a little less

[budgray19]

ok wtf
he was talkin about .9 not .9- repeating
and evens till u where talkin about .9 it self not sig figs so dont bring that uup..
i see what ur saying
that .99999999999999999999999999999999999999999999999999999999999 will get so close that it should eventually reach 1 so i know what ya mean
but no its still.999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 and when teh use .9R
its for simplifying reasons
but based on what u r says
so then 8.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011=8 ?
in chem the round but in real numbers it means
 8.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011

[Reaper]

ok wtf
he was talkin about .9 not .9- repeating
and evens till u where talkin about .9 it self not sig figs so dont bring that uup..
i see what ur saying
that .99999999999999999999999999999999999999999999999999999999999 will get so close that it should eventually reach 1 so i know what ya mean
but no its still.999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 and when teh use .9R
its for simplifying reasons
but based on what u r says
so then 8.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011=8 ?
in chem the round but in real numbers it means
 8.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011

What you wrote there makes zero sense, what are you trying to say?  I've finished 5 years worth of college math so I know a lot of different scenarios and methods...

[budgray19]

lol i know i wanted to see if i could confuse someone
but still.9 is .9 not 1 if u round it its 1
sig figs its 1 but if uur talking about the number its .9

[Reaper]

lol i know i wanted to see if i could confuse someone
but still.9 is .9 not 1 if u round it its 1
sig figs its 1 but if uur talking about the number its .9

we're already way beyond that, we were discussing other theories such as the equation of [9(1/10)^n] with n= 1 to infinity

[Timmy]

thing is im entirely sure hes accepted that it works for some scenarios and for others it doesn't

im probably wrong but he just seems 100% convinced that its that way for everything because his teacher told him so

[dedafmonteur]

here comes 's point of view (brase yourself..lol)

0,9999999999999999999999999999999999999999999999999999999999
is not a whole pie

1 = a whole pie



see, can do math to!

[Timmy]

you said that already 

[dedafmonteur]

yup, bit i'm right!

[Luke]

no isnt the answer 1.

[cwn723]

Lol, my AP calculus teacher told me that, hes been to college for tons of stuff like this, so im just taking his word that .99999999999999999.......=1.

[dedafmonteur]

if you have 99,999999999% to die
would you say 100%?

or try to survive and fight for that 0,000000001%?


i would try to survive...so it's not just 1

[Timmy]

i still to this day cannot comprehend why europeans use a comma instead of a decimal point

also theres an infinite number of nines after the decimal point in the first number and infinite number of zeros between the decimal point and the one in the second

and although i appreciate the example....gaming engines cant measure and infinitely getting smaller fraction, they would just round up, and even then coders wouldn't implement anything that could do 0.0R1 damage

<see sig>

[budgray19]

Lol, my AP calculus teacher told me that, hes been to college for tons of stuff like this, so im just taking his word that .99999999999999999.......=1.

well ive been in plenty of ap classes and ya know what ive learned
teachers can be wrong too...
btw its not 0,999999999999999999
its 0.99999999999

[Luke]

its 0.99999999999

as if that cant be counted as 1 :l its 0.00000000001 of 1 so i recon it should be classfied as 1

[Ilzwalrus]

This is a part of sequences and series, or more specifically sum to infinity. Your maths may be right, but commonsense says otherwise.

I'm going to use a good word to describe it:
ASYMPTOTE!

[dedafmonteur]

this topic will still be used in the year 2030....there is no answer on this.....

[cwn723]

I know, this thing is so wierd/dumb, like you said, using common logic, it is wrong, using math it is right. Same with the frog, using physics it is impossible, using math, it is right.

[Ilzwalrus]

Also, in your first proof, you used limits. If you're limiting something to infinity or 0, you're not letting it equal that, you're letting it approach it. Therefore it won't be equal to 1.