Basic of NCERT

When 2579150574 is divided by 129024 it's decimal expansion will terminate after N place of decimal . Find the value of N.


The answer is 10.

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1 solution

Avinash Singh
Mar 25, 2015

When 7 2 4 \frac{7}{2^{4}} it's decimal terminate after 4 place of decimal. This pattern of termination happens with every case if denominator is the only of 2, 5. Example 7 2 4 5 3 \frac{7}{2^{4}5^{3}} in this case also it will terminate after 4 decimal place because power of 2 is greater than 5.

Similarly 2579150574 ( 21 ) ( 6 ) ( 2 ) 10 \frac{2579150574}{(21)(6)(2)^{10}} Here, 21 and 6 get cancle by nominator and only 2^10 would be left as denominator. So it will terminate after 10 of decimal place.

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