J
Josepho1997
Guest
I've been told that .999...=1 (.999... means .9999 repeating)
What do you think? Does. 9999=1?
What do you think? Does. 9999=1?
.99999... does in fact equal 1 and can be easily mathematically proved.
Let x=.9999999......
Therefore 10x=9.99999.......
10x-x =9x. == 9.99999.....-.999999....=9
So 9x=9
9x
Seems feasable...can you say the same of .22222222222......=1?
.99999... does in fact equal 1 and can be easily mathematically proved.
Let x=.9999999......
Therefore 10x=9.99999.......
10x-x =9x. == 9.99999.....-.999999....=9
So 9x=9
9x
Tell me if I'm wrong here:Following the same set if steps, you would end up with 9x =2. Thus x =2\9, which is indeed what. 2222222..... is equal to.
Tell me if I'm wrong here:
x=.22222222......
10x= 2.22222222......
10x-x=9x 2.22222222.....-.2222222222= 2
2=9x
divide each side by 9
2/9=x
x=.2222222222222
back to where we started
ah, I think I get it...
.99999999.....would be the only number equal to 1?
Anything after the "Analytic Proof" section in that wiki link, just fried my brain:help:Wait a second...I was promised there'd be no math in this job!
Also, this is pretty cool: 0.999... - Wikipedia, the free encyclopedia (they say "yes", by the way )
It depends on the setting really. If your manufacturing gears with a wire edm then .9999 is still .0001 underside from 1.00000. now if you have a geometric tolerance of lets say +- .00001 than that dimention being at .9999 would bring you out of tolerance by .00009 rendering the part non conforming and scrap.
Also its not repeating unless it uses ~ above the last number
It's been said already, but it's true.
You can also see it even more easily like this:
(1/3) + (1/3) + (1/3) = 1
0.3333... + 0.333333... + 0.333... = 1
Therefore
0.999999..... = 1
It also works with other numbers that end with a decimal periodic 9. Such as:
23.56999999.... = 23.57
2+2=3
thats only true if you assume 0.3333... = 1/3
which (depending on context, may or may not be true
Furthermore:The equality of 0.999... and 1 is closely related to the absence of nonzero infinitesimals in the real number system, the most commonly used system in mathematical analysis.
Whether anyone chooses to accept it or not is their choice, but nonetheless, it is 100% true. I often run into non-believers when I teach this topic in the Infinite Series part of Calculus II, granted the proof for that class is different giving the context of the class.The equality 0.999... = 1 has long been accepted by mathematicians and is part of general mathematical education. Nonetheless, some students find it sufficiently counterintuitive that they question or reject it, commonly enough that the difficulty of convincing them of the validity of this identity has been the subject of several studies in mathematics education
1/3 is exactly = .333... repeated for ever and you can easily discover that for yourself by dividing 1 by 3. If you do it manually using the standard you will constantly get repeating 3's forever until you decide you've had enough punishment.
.
well.. in that case pie is 3.14
or whatever number you get before you decide you've had enough punishment.
or 3.2 if you're a stupid person from indiana
Indiana Pi Bill - Wikipedia, the free encyclopedia
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