1what is the denominator of rational number257÷5000 in the form of 2^m× 5^n where m , n are non negative integers so write its decimal expansion without actual division
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257/5000= 257*2/5000*2= 514/10000 =0.00514ans..
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Denominator of 257÷5000 is 5000
5000=2×2×2×5×5×5×5
=2^3×5^4
Decimal expansion of this rational number is terminating and non-repeating
As it has only 2 and 5 as prime factor of its denominator
5000=2×2×2×5×5×5×5
=2^3×5^4
Decimal expansion of this rational number is terminating and non-repeating
As it has only 2 and 5 as prime factor of its denominator
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