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What is the condition for the …

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What is the condition for the decimal expansion of a rational number to terminate

    • Posted by ????? ?????? 6 years, 3 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Yogita Ingle 6 years, 3 months ago

    The condition required for a rational number to have a terminating decimal expansion is that when the number is in its simplest form then its denominator should be in the form of 2m x 5n ( where m and n are any whole number ).

    Examples :

    a.) 10 / 100 = 0.1 ( In this we can find that when the fraction will be broken down into its simplest form then its denominator will be in the form of 2m x 5m )


    b.) 9 / 90 = 0.1 ( Well it also have a terminating decimal expansion as when it will be broken down then its denominator will be in the form of 2m x 5m ).


     

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