For which of the following value (s) of p,251/(2cube × p square) is non-terminating recurring decimal?441/(2square × 5 seven × 7square) is a dash decimal
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Given: .
To find: the value of p.
Solution:
Check prime factors of denominators of given fraction .
- if Prime factor are in the form of or or . Than the given fraction is a terminating decimal expansion .
- if prime factors are other than or or , than the given fraction is a non - terminating decimal expansion ..
Note that from the question
Is a terminating decimal expansion .
Understand that,
It is only possible when value of p is equal to 5 . Because then denominator will be in the form of .
Hence, the value of p is 5.
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