Write whether the rational number 7/75 will have a terminating decimal expansion or a non-terminating repeating decimal expansion.

This is a question of CBSE Sample Paper - Class 10 - 2017/18.

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Write whether 7/75 will have terminating decimal expansion or

Question 1 - CBSE Class 10 Sample Paper for 2018 Boards - Part 2

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Transcript

Question 1 Write whether the rational number 7/75 will have a terminating decimal expansion or a nor-terminating repeating decimal expansion. Theory / is terminating if (i) p & q are co-prime and (ii) q is of the form 2n 5m where n & m are non-negative integers 7/75 Checking co-prime 7 & 75 have no common factors, So, 7 & 75 are co-prime For Denominator (75) Denominator = 3 52 So , denominator is not of the form 2n 5m Thus , 7/75 is a non-terminating repeating decimal expansion Hence 75 = 3 5 5 = 3 52

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.