How to find rational numbers with terminating or non terminating repeating decimal expansion
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
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.
CBSE solutions for class 10 maths Chapter 1 Real Numbers Exercise 1.4
CBSE class 10 maths NCERT Solutions Chapter 1 Real Numbers Exercise 1.2 | Euclid Division Lemma
CBSE class 10 maths NCERT Solutions Chapter 1 Real Numbers
Solutions for CBSE class 10 Maths Real Numbers
NCERT solutions for class 10 maths Real Numbers
NCERT solutions for CBSE class 10 maths Real Numbers
CBSE class 10 maths Solutions Real Numbers Exercise 1.4
Common core Math Real Numbers
ICSE Class 10 Maths
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