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贴图灌水、文学娱乐专区 » Is 1 equal to 0.9999999……?

Floor1　523066680	Posted 2008-09-21 08:22
银牌会员　Posts 1,133　Credits 2,362
How to find 0.1111111111111……? The method is 1/9. Then, what about 0.222222222222……? It is (1/9)2 = 2/9. By analogy, 8/9 = 0.888888888888888888888888……. Okay, here comes the problem. How do I get 0.999999999999999999999999……………………? (1/9)9? How does it become 1? Is it because 0.9999…… is infinitely close to 1? Can anyone give an explanation?

Floor2　pusofalse	Posted 2008-09-21 08:24
银牌会员　Posts 646　Credits 1,604
What calculator are you using? The built-in calculator?

Floor3　523066680	Posted 2008-09-21 08:27
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(1/9)9=9/9=1 ah This is similar to 1/3=0.3333333333333333…… 2/3=0.6666666666666666…… 3/3=1 [ Last edited by 523066680 on 2008-9-21 at 08:32 AM* ]

Floor4　popzone	Posted 2008-09-21 23:13
新手上路　Posts 3　Credits 6
It seems calculated by Windows Calculator

Floor6　Batcher	Posted 2008-09-24 15:36
初级用户　Posts 16　Credits 33
What calculator are you using, LZ?

Floor7　523066680	Posted 2008-09-29 16:55
银牌会员　Posts 1,133　Credits 2,362
Where are all of you thinking? I mean using deduction.

Floor8　fujianabc	Posted 2008-09-29 19:44
金牌会员　Posts 1,616　Credits 3,467
Has the landlord studied advanced mathematics? The limit concept in the beginning of advanced mathematics (usually the first chapter) can solve the landlord's doubts.

Floor9　523066680	Posted 2008-09-30 08:03
银牌会员　Posts 1,133　Credits 2,362
Thanks to the elder brother on the 8th floor, I haven't learned yet, but my sister has that book. I'll go back and have a look.

Floor10　brglng	Posted 2008-10-02 19:53
银牌会员　Posts 466　Credits 1,200　From 上海
Originally 1 is equal to 0.99999999999999…… (infinite 9s) Take a look at the limit in advanced mathematics

Floor11　lanjingyun	Posted 2008-10-03 11:00
初级用户　Posts 43　Credits 184　From 福建
Advanced mathematics. Haven't looked at it for a long time. Forgotten. orz

Floor12　ysc	Posted 2008-10-04 00:12
初级用户　Posts 55　Credits 118
What has been said in Advanced Mathematics Volume 1 is very clear

Floor13　zhang1ze1	Posted 2008-10-05 16:06
新手上路　Posts 9　Credits 17
The building host explains like this is what is commonly called taking things for granted

Floor14　wl00560	Posted 2008-10-06 00:48
银牌会员　Posts 709　Credits 1,384
The landlord is pretty good, very studious... This kind of problem is not easy to think of, just like for thousands of years, no one asked why apples fall──Knowing the answer doesn't mean being smart, sometimes asking questions is also a kind of wisdom... Come on...

Floor15　jiayi333	Posted 2008-10-20 03:58
新手上路　Posts 8　Credits 9
This is not difficult. Look here. It mainly depends on whether you can accept this reality. 1 = 9/9 = 9(1/9) = 90.111111... = 0.99999....... Or 1 - 0.9.... = 0 => 1 = 0.99999. Because it is an infinite cycle, so you won't get a 1 with many digits after the decimal point. Both can prove this problem, right?

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