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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) $232352$ ? Find for how many decimal places do a given rational number terminates?

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answer is B.

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Detailed Solution

Given a rational number

232352

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

232352

It can be written as

232352 = 23 × 5 2353 = 115103

Hence, it will terminate after three decimal places
Hence, the correct answer is option 2.

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