Easy Brainteaser
IB
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(King Kong, 1,099
Points)
on 5/7/12 at 7:59pm
As penance for liberally beating a dead goat in the other brainteaser thread, here is a fresh one that should be easy for many of you:
Does .9 repeated = 1?
Please prove mathematically and explain in English. SB for the first to do both.





A Geometric series is
A Geometric series is probably easier.
just construct a cauchy
just construct a cauchy sequence
No.
No.
You can explain this without
You can explain this without any fancy math, using the definition of numbers alone.
Leadership can be defined in two words: "Follow Me"
x = 0.9 10x = 9.9 10x - x = 9
x = 0.9
10x = 9.9
10x - x = 9
GBS
.9 repeated has a limit value
.9 repeated has a limit value of 1, but is never actually 1.
x = 0.9 10x = 9.9 10x - x =
x = 0.9
10x = 9.9
10x - x = 9
9x = 9
x = 1
.
.
Leadership can be defined in two words: "Follow Me"
just do a geometric series
just do a geometric series with a=.9 and r=.1
or could do something like this:
1/9=.1111111...
9*(1/9)=9*.1111111....
1=.999999...
Cola Coca: x = 0.9 10x =
x = 0.9
10x = 9.9
10x - x = 9
9x = 9
x = 1
I don't think your answer is correct.
10*.9=9
not 9.9, so in your equation x does not equal .9 like you said.
the short answer is no it does not equal 1
TechBanking: .9 repeated has
.9 repeated has a limit value of 1, but is never actually 1.
If abs (x) <1, the infinite series sum(x^n) converges to 1/(1-x)
let x = (1/10)
finite sum = 1/(1-.1)
this gives you 1 + .1 + .01 + .001 ....
subtracting 1 and multiplying by 9 gives you .9 + .09 + .090 ....
solution = [1/(1-.1) -1] *9 = [10/9 - 9/9] * 9 = 1
i think its because of the
i think its because of the absence of nonzero infinitesimals in the real number system
You just saw this on reddit
You just saw this on reddit didn't you
Yes - my simplest 'explain in
Yes - my simplest 'explain in english' is that .3 repeating is generally known to equal one third, and 3 times one third equals 1
There is already a book on you. That book is already being written. And if I talked to your friends, your teachers, your professionals, your family, I would know so much about you I wouldn't even have to meet you. You write the book the way you want to be
Cola Coca: x = 0.9 10x =
x = 0.9
10x = 9.9
10x - x = 9
9x = 9
x = 1
Wtf is this shit...
Let me also do it with
There is already a book on you. That book is already being written. And if I talked to your friends, your teachers, your professionals, your family, I would know so much about you I wouldn't even have to meet you. You write the book the way you want to be
Oh Cola Coca got the answer
There is already a book on you. That book is already being written. And if I talked to your friends, your teachers, your professionals, your family, I would know so much about you I wouldn't even have to meet you. You write the book the way you want to be
JDimon: Yes - my simplest
JDimon: Let me also do it
Here's my answer: Yes. When
illiniPride: Cola Coca: x =
FreezePops: JDimon: Let me
There is already a book on you. That book is already being written. And if I talked to your friends, your teachers, your professionals, your family, I would know so much about you I wouldn't even have to meet you. You write the book the way you want to be
Gave it to Dimon, wasnt
Leadership can be defined in two words: "Follow Me"
how can one number equal
RIP WSO Chat.
JDimon: Yes - my simplest
"A man generally has two reasons for doing anything. One that sounds good, and the real one." - J.P. Morgan
TechBanking: .9 repeated has
JDimon: FreezePops: JDimo
This was how I thought of
Leadership can be defined in two words: "Follow Me"
The answer is yes. There is a
Wikipedia has a pretty cool
Assume that 9.999.../=10 Then
1/3 + 1/3 + 1/3 = 3/3 = 1 and
Weird corollary imo: every
Models and bottles! Did I get
juked07: Weird corollary imo:
I know why our financial
There are several ways of
-MBP
Numbers are concepts. If the
I hate victims who respect their executioners
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BlackHat: Numbers are
-MBP
manbearpig: BlackHat: Numbe
.99999... = lim 9 x (1/10 +
this is a site Determined
RIP WSO Chat.
1cent repeated is 1 mio. Did