Home
Random
Nearby
Log in
Settings
Donate
About Wikimedia Incubator
Disclaimers
Search
Wb
/
yue
/
0.999.../用0.111...證明
Language
Watch
Edit
<
Wb
|
yue
|
0.999...
Wb
>
yue
>
0.999...
>
用0.111...證明
相關章節
edit
小數長除法
用0.333...證明
證明
edit
利用長除法,計到:
1
9
=
0.111...
{\displaystyle {\frac {1}{9}}=0.111...}
兩邊乘返9,得到:
9
9
=
0.999...
{\displaystyle {\frac {9}{9}}=0.999...}
得證:
1
=
0.999...
{\displaystyle 1=0.999...}