證明0.9循環=1國中 回應 mathematical2005 Re: 證明0.9循環=1 2006-02-25 18:07 1/3=0.3循環 (1/3)*3=0.9循環 又(1/3)*3=1 so 0.9循環=1 frog Re: 證明0.9循環=1 2006-03-06 22:30 Let x=0.999999......(1) Then 10x=9.999999......(2) (2)-(1), we have 9x=9 Hence x=1 This completes our proof. 94006 Re: 證明0.9循環=1 2006-03-07 21:49 已知1/3=0.3循環 1/3*3=0.3循環*3 →１=０.9循環 qqwwee2006 Re: 證明0.9循環=1 2006-03-09 20:41 1-0.9循環因為=0.0循環1 所以求不出到底跟一差多少 只能算出0.0000000000000000000000000000000000000000000000.............................................................................................................................................當然用1/3的證法比較好 訪客 (未驗證) Re: 證明0.9循環=1 2006-03-09 21:49 剛剛突然想到如果我上面的那個做法行的通的話 那0.9循環1~9都=1囉?? 也就是說－－我打錯ㄌ
frog Re: 證明0.9循環=1 2006-03-06 22:30 Let x=0.999999......(1) Then 10x=9.999999......(2) (2)-(1), we have 9x=9 Hence x=1 This completes our proof.
qqwwee2006 Re: 證明0.9循環=1 2006-03-09 20:41 1-0.9循環因為=0.0循環1 所以求不出到底跟一差多少 只能算出0.0000000000000000000000000000000000000000000000.............................................................................................................................................當然用1/3的證法比較好
回應
mathematical2005
Re: 證明0.9循環=1
2006-02-25 18:07(1/3)*3=0.9循環
又(1/3)*3=1
so 0.9循環=1
frog
Re: 證明0.9循環=1
2006-03-06 22:30Then 10x=9.999999......(2)
(2)-(1), we have
9x=9
Hence x=1
This completes our proof.
94006
Re: 證明0.9循環=1
2006-03-07 21:491/3*3=0.3循環*3
→１=０.9循環
qqwwee2006
Re: 證明0.9循環=1
2006-03-09 20:41所以求不出到底跟一差多少
只能算出0.0000000000000000000000000000000000000000000000.............................................................................................................................................當然用1/3的證法比較好
訪客 (未驗證)
Re: 證明0.9循環=1
2006-03-09 21:49那0.9循環1~9都=1囉??
也就是說－－我打錯ㄌ