Q. 14.2( 408 Votes )

<span lang="EN-IN

Answer :

(i)


Factorize the denominator we get,


3125 = 5×5×5×5×5 = 55


The denominator is of the form 5m


Hence, the decimal expansion of is terminating.


(ii)


Factorize the denominator we get,


8 = 2 × 2 ×2 = 23


The denominator is of the form 2m


Hence, the decimal expansion of is terminating.


(iii)


Factorize the denominator we get,


455 = 5×7×13


Since, the denominator is not in the form of 2m × 5n, and it also contains 7 and 13 as its factors,


Its decimal expansion will be non-terminating repeating.


(iv)


Factorize the denominator we get,


1600 = 26×52


The denominator is in the form 2m × 5n


Hence, the decimal expansion of is terminating.


(v)


Factorize the denominator we get,


343 = 73


Since the denominator is not in the form of 2m × 5n, it has 7 as its factors.


So, the decimal expansion of non-terminating repeating.


(vi)


The denominator is in the form 2m×5n


Hence, the decimal expansion of is terminating.


(vii)


Since, the denominator is not in the form of 2m × 5n, as it has 7 in denominator.


So, the decimal expansion of is non-terminating repeating.


(viii)


The denominator is in the form 5n


Hence, the decimal expansion of is terminating.


(ix)


Factorize the denominator we get,


10 = 2×5


The denominator is in the form 2m×5n


Hence, the decimal expansion of is terminating.


(x)


Factorize the denominator we get,


30 = 2×3×5


Since the denominator is not in the form of 2m × 5n, as it has 3 in denominator.


So, the decimal expansion of non-terminating repeating.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

Write down the deKC Sinha - Mathematics

Has the rational RD Sharma - Mathematics

If the rational nRS Aggarwal - Mathematics

Show that there iRS Aggarwal - Mathematics

Express <span lanRS Aggarwal - Mathematics

Without actually KC Sinha - Mathematics