Question

17/125, Classify the decimal form of the given rational numbers into terminating and non-terminating recurring type.

Answer 1

heya...

here is your answer....

we can write 17/125 in the form of 17/5^3

for terminating decimal the denominator should be in the form of 2^n * 5^m

but here 2 is not a factor of 125..

so the following number is non terminating

hope helped

Answer 2

Solution :

Given Rational Number 17/125

Denominator ( q ) = 125 = 5³

is of the form 2^n × 5^m .

Here ,

n = 0 , m = 3

Therefore ,

17/125 is a terminating decimal.

17/125 = ( 17 × 2³ )/( 2³ × 5³ )

= ( 17 × 8 )/(10³)

= 136/1000

= 0.136

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