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The decimal expansion of the rational …

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The decimal expansion of the rational number 43 2 4.5 3 , will terminate after how many placed of decimals?

    • Posted by Vikash Kaushik 6 years, 5 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Sia ? 6 years, 5 months ago

    If the denominator of a rational number is in the form 2n× 5m, then it will terminate after n places if n > m or m places if m > n.
    The given rational number is
    {tex}\frac{{43}}{{2^4\times 5^3}} {/tex}
    In given rational number,  4 > 3  so, n > m
    So, the given rational number will terminate after 4 places.

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