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Question
Without actual division show that each of the following rational numbers is a non-terminating repeating decimal.
(i) `11/(2^3× 3)`
Solution
`11/(2^3× 3)`
We know either 2 or 3 is not a factor of 11, so it is in its simplest form.
Moreover, (23× 3) ≠ (2m × 5n)
Hence, the given rational is non – terminating repeating decimal.
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