state whether the following terminating decimal representation or not 7/5^3 × 2^5
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It is a terminating decimal .
Explanation:
Denominator ( q ) = 5³ × 2^5 is of
the form 2^n × 5^m
Given 7/[ 5³ × 2^5 ]
= [ 7 × 5² ]/[ 5³ × 5² × 2^5 ]
= ( 7 × 25 )/( 5 × 2 )^5
= 175/( 10)^5
= 175/100000
= 0.00175 [ terminating decimal ]
Explanation:
Denominator ( q ) = 5³ × 2^5 is of
the form 2^n × 5^m
Given 7/[ 5³ × 2^5 ]
= [ 7 × 5² ]/[ 5³ × 5² × 2^5 ]
= ( 7 × 25 )/( 5 × 2 )^5
= 175/( 10)^5
= 175/100000
= 0.00175 [ terminating decimal ]
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