Rahul Singh
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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: 77 / 210

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NCERT Solutions for Class 10 Maths Chapter 1
Important NCERT Questions
Real Numbers
NCERT Books for Session 2022-2023
CBSE Board and UP Board Others state Board
EXERCISE 1.4
Page No:17
Questions No:1 Part 10

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2 Answers

  1. 77/210
    => 77/210 = (7× 11)/ (30 × 7) = 11/30

    => Factorising the denominator, we get,

    => 30 = 2 × 3 × 5

    As you can see, the denominator is not in the form of 2^{m}× 5^{n} .Hence, 77/210 has a non-terminating decimal expansion.

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