How to find rational numbers with terminating or non terminating repeating decimal expansion

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00:03 Q1. Without actually performing the long division, state whether the following rational

numbers will have a terminating decimal expansion or a non-terminating repeating decimal

expansion:

00:33 (i) Decimal expansion of 13/3125 is a terminating or a non-terminating repeating

00:56 Factor tree of 3125.

prime factorisation of q(3125) is of the form 2^n5^m, where n, m are non-negative integers.

01:50 rational numbers 13/3125 has terminating decimal expansion.

02:23 (ii) Decimal expansion of 17/8 is a terminating or a non-terminating repeating

02:39 Prime Factorization of 8.

prime factorisation of q(8) is of the form 2^n5^m, where n, m are non-negative integers.

03:23 rational numbers 17/8 has terminating decimal expansion.

03:54 (iii) Decimal expansion of 64/455 is a terminating or a non-terminating repeating

04:15 Factor tree of 455.

prime factorisation of q(455) is not in the form 2^n5^m, where n, m are non-negative integers.

04:58 rational numbers 64/455 has non-terminating repeating decimal expansion.

05:15 (viii) Decimal expansion of 6/15 is a terminating or a non-terminating repeating

05:53 Prime Factorization of 5.

prime factorisation of q(5) is of the form 2^n5^m, where n, m are non-negative integers.

06:25 rational numbers 6/15 has terminating decimal expansion.

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CBSE solutions for class 10 maths Chapter 1 Real Numbers Exercise 1.4

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