一萬年後能把圓周率計到最後一個數?

2010-04-18 6:25 am
一萬年後能把圓周率計到最後一個數?
更新1:

點解圓周率是無限的?

回答 (6)

2010-04-18 7:17 am
✔ 最佳答案
You can never find pi's last digit.
It has been proved that if tan(x) is rational, x must be irrational
Because tan(pi/4)=1, pi/4 must be irrational=>pi is irrational

Then look at the definition of irrational number:
An irrational number is any real number which cannot be expressed as a fraction m/n

if the number have the last digit, for example, 0.01234567890123456789
It can be rewritten into 1234567890123456789/100
which is a fraction
Therefore we can conclude that the number has the last digit if and only if it is rational
Conversely, the number doesn't have the last digit if and only if it is irrational

As a result, you can never find the last digit of pi
2010-04-22 6:37 am
因為圓周率是個無理數,不能以分數表示!

2010-04-23 18:35:04 補充:
無理數是中二教的!
2010-04-19 2:39 am
不可能,因為圓周率小數點後有無限個數,試問如何以有限的時間去求第無限個數呢??
應該要無限年後才能求到圓周率計到最後一個數...但無可能有無限年...所以系無可能
2010-04-18 8:13 am
不可能把圓周率計至最後一個位。

因為已經證明了圓周率是一個「無理數」。無理數是一個無限而不循環的小數。

2010-04-20 01:22:06 補充:
不是無限,而是無限位小量。這是無理數的性質。
參考: 胡說八
2010-04-18 7:31 am
唔可能==因為圓周率好耐之前就畀人prove左係irrational number(姐係會有無限個decimal place的number) , 佢同2的平方根,3的平方根個d一樣,係唔會有止境的.
2010-04-18 6:33 am
誰說的? 天曉得. 與其預計得到圓周率到那時計到最後一個數, 說這句話的那個人應該要有把握大概知道得出的答案才對.

一萬年後那麼遠的事, 作這種預言的人也可說是不負責任. 我也可以說一萬年後世界末日. 所正誰可以驗證, 對嗎?!


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