find an irrational numaber between 1/7 and 2/7.
Answers
Answer:
Let x = p/q be a rational number, such that the prime factorization of q is of the form 2n 5m, where n, m are non - negative integers. Then x has a decimal expansion which terminates. (i) Here q = 225 225 can be written as 32×52 Since it is in the form of 5m, it is a terminating decimal. (ii) Here q = 18 18 can be written as 2 × 32 Since 3 is also there and it is not in the form of 2n5m, it is not a terminating decimal. (iii) Here q = 21 21 can be written as 3 × 7 Since it is not in the form of 2n5m, it is not a terminating decimal. (iv) Here q = 250 250 can be written as 2 × 53 Since it is in the form of 2n5m, it is a terminating decimal.Read more on Sarthaks.com - https://www.sarthaks.com/1074261/which-of-the-following-rational-numbers-have-terminating-decimal-16-225-ii-18-iii-21-iv-250
Answer:
2/6,1/9,2/3
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