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Question
Write the following in decimal form and say what kind of decimal expansion has:
`1/11`
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Solution
Dividing 1 by 11, we have
`11)overline1.00000(0.090909 .........`
- 0
10
-00
100
-99
10
-00
100
-99
10
-00
100
-99
1
∴ `1/11` = 0.090909...
= `0.overline0.9`
Thus, the decimal expansion of `1/11` is non-terminating repeating.
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