Question

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:

(i) $13 over 3125$

Solution

$left parenthesis i right parenthesis space space space space space space space 13 over 3125 equals 13 over 5 to the power of 5 equals fraction numerator 13 cross times 2 to the power of 5 over denominator 2 to the power of 5 cross times 5 to the power of 5 end fraction space space space space space space space space space rightwards double arrow space 13 over 3125$
has a terminating decimal expansion.

[By NCERTTheorem 1.6]

Some More Questions From Real Numbers Chapter

Express each number as a product of its prime factors: (ii) 156 (iii) 3825 (iv) 5005 (v) 7429

Express each number as a product of its prime factors: (iv) 5005

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Real Numbers

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:

(i) $13 over 3125$

Some More Questions From Real Numbers Chapter

Express each number as a product of its prime factors: (ii) 156 (iii) 3825 (iv) 5005 (v) 7429

Express each number as a product of its prime factors: (iv) 5005

Express each number as a product of its prime factors: (v) 7429

Find the LCM and HCF of the following pairs of integers and verify that LCM × HCF = product of the two numbers. (i) 26 and 91

Find the LCM and HCF of the following pairs of integers and verify that LCM × HCF = product of the two numbers. (ii) 510 and 92

Find the LCM and HCF of the following pairs of integers and verify that LCM × HCF = product of the two numbers. (iii) 336 and 54

Find the LCM and HCF of the following integers by applying the prime factorisation method. (i) 12, 15 and 21

Find the LCM and HCF of the following integers by applying the prime factorisation method. (ii) 17, 23 and 29

Find the LCM and HCF of the following integers by applying the prime factorisation method. (iii) 8, 9 and 25

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

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For Daily Free Study Material Join wiredfaculty

Real Numbers

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:(i)

Some More Questions From Real Numbers Chapter

Express each number as a product of its prime factors: (ii) 156 (iii) 3825 (iv) 5005 (v) 7429

Express each number as a product of its prime factors: (iv) 5005

Express each number as a product of its prime factors: (v) 7429

Find the LCM and HCF of the following pairs of integers and verify that LCM × HCF = product of the two numbers. (i) 26 and 91

Find the LCM and HCF of the following pairs of integers and verify that LCM × HCF = product of the two numbers. (ii) 510 and 92

Find the LCM and HCF of the following pairs of integers and verify that LCM × HCF = product of the two numbers. (iii) 336 and 54

Find the LCM and HCF of the following integers by applying the prime factorisation method. (i) 12, 15 and 21

Find the LCM and HCF of the following integers by applying the prime factorisation method. (ii) 17, 23 and 29

Find the LCM and HCF of the following integers by applying the prime factorisation method. (iii) 8, 9 and 25

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

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:

(i) $13 over 3125$