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Rational number ( $x = a b, b ≠ 0,$ a and b are integers as well as a and b are co-prime) $492752$ Find for how many decimal places do a given rational number terminates?

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answer is C.

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Detailed Solution

Given a rational number

492752

.
Let us find at what values it terminates
Check if denominator can be converted to powers of 10
According to the question we have

492752

It can be written as

492752 = 49 × 55 2757 = 49 × 55 107

Hence it will terminate after seven decimal places.
Hence, the correct option is 3.

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