17/3125 ,State whether given rational number have terminating decimal expansion or not and if it has terminating decimal expansion, find it.
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it's terminating
So denominator is in the form of 5^m
therefore it is terminating
So denominator is in the form of 5^m
therefore it is terminating
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17/3125 is a terminating decimal .
Explanation :
17/3125
[ denominator 3125 = 5^5 is of the
form 2ⁿ × 5^m ]
Verification :
17/3125
= 17/5^5
= ( 17 × 2^5 )/( 2^5 × 5^5 )
= ( 17 × 32 )/( 10 )^5
= 544/100000
= 0.00544 [ Terminating decimal ]
•••••
Explanation :
17/3125
[ denominator 3125 = 5^5 is of the
form 2ⁿ × 5^m ]
Verification :
17/3125
= 17/5^5
= ( 17 × 2^5 )/( 2^5 × 5^5 )
= ( 17 × 32 )/( 10 )^5
= 544/100000
= 0.00544 [ Terminating decimal ]
•••••
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