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If the rational number a/b has a terminating decimal expansion, what is the condition to be satisfied by b?

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An important and exam oriented question from real numbers in which we have given a rational number a/b and and it is also given that the given number has a terminating decimal expansion and we have to find on what condition b satisfies.

Kindly solve the above problem in detail

RS Aggarwal, Class 10, chapter 1E, question no 9


1 Answer

  1. Since a/b is a rational number and it has terminating decimal b will be in the form of 2^m×5^n where m and n are some non -negative integers.

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