CBSE Class 10 Maths solution Real numbers Exercise 1.4 | NCERT Solutions Real Numbers

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00:03 CBSE class 10 maths Solutions Real Numbers Exercise 1.4 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.

06:40 CBSE class 10 maths Solutions Real Numbers Exercise 1.4 Q2. Write down the decimal expansions of those rational numbers in Question 1 above which have terminating decimal expansions.

06:45 (i)decimal expansion of 13/3125

07:45 Prime factorization of 3125 .

07:53 Convert Denominator in the form 2^n*5^n.

08:52 Write down the decimal expansion of rational number 13/3125

09:20 (ii) decimal expansion 17/8

09:43 Prime Factorization of 8.

09:56 prime factorisation of q(8) is of the form 2^n5^m, where n,m are non-negative integers.

10:04 Convert Denominator 8 in the form 2^n*5^n.

10:52 Write down the decimal expansion of rational number 17/8

11:04 (iv) decimal expansion 15/1600

11:56 Prime Factorization of 1600.

12:11 prime factorisation of q(1600) is of the form 2^n5^m, where n,m are non-negative integers

12:42 Convert Denominator 1600 in the form 2^n*5^n.

13:31 Write down the decimal expansion of rational number 15/1600

13:53 (vi) decimal expansion 23/(2^3*5^3)

14:10 Convert Denominator 1600 in the form 2^n*5^n.

15:03 Write down the decimal expansion of rational number 23/(2^3*5^3)

15:34 (viii) decimal expansion 6/15

15:46 Prime Factorization of 5

15:57 Convert Denominator 5 in the form 2^n*5^n.

16:32 Write down the decimal expansion of rational number 6/15

16:54 (ix) decimal expansion 35/50

17:15 Prime Factorization of 50

17:31 Convert Denominator 5 in the form 2^n*5^n.

17:54 Write down the decimal expansion of rational number 35/50

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