循環小數0.9=多少?

👨🏻‍🏫 學術台數學

[匿名]

2012-10-25 4:43 am

.
0.9=?
求高手解答.....

回答 (6)

mLee

2012-10-26 9:32 am

✔ 最佳答案

Let x=0.999... --(1)
10x=9.999... --(2)
(2) - (1):
10x-x=9.999...-0.999...
9x=9
x=1
so 0.999...=1

參考: maeducation.edu.hk

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用戶7639

2012-10-26 4:21 pm

圖片參考：http://i45.tinypic.com/30wlgmh.png

http://i45.tinypic.com/30wlgmh.png

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用戶46949

2012-10-25 8:10 pm

Let x be 0.999..........

10x-x=9.999.....-0.999.......
9x=9
x=9/9
x=1

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[匿名]

2012-10-25 6:21 am

9 over 10
0.99999999999999999

參考: me

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Hoi Ching

2012-10-25 5:34 am

0.99999999......

9
------
10

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[匿名]

2012-10-25 5:09 am

0.9999999............

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