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Question
Write the following in decimal form and say what kind of decimal expansion has:
`2/11`
Solution
Dividing 2 by 11, we get
`11)overline2.0000(0.1818......`
-11
90
-88
20
-11
90
-88
2
Here, the repeating block of digits is 18.
∴ `2/11` = 0.1818...
= `0.overline18`
Thus, the decimal expansion of `2/11` is non-terminating repeating.
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