Check if 17/8 + 7/80 is terminating or not
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Hi ,
17 / 8 + 7 / 80
= ( 17 × 10 + 7 ) / 80
= 177 / 80
take the denominator ,
80 = 2 × 2 × 2 × 2 × 5
= 2⁴ × 5¹
it is in the form of 2^ n × 5^ m.
Therefore ,
177 / 80 is a terminating decimal .
177 / ( 2⁴ × 5 )
= ( 177 × 5³ ) / ( 2⁴ × 5⁴ )
= 22125 / ( 10⁴ )
= 2.2125
terminating decimal .
I hope this helps you.
:)
17 / 8 + 7 / 80
= ( 17 × 10 + 7 ) / 80
= 177 / 80
take the denominator ,
80 = 2 × 2 × 2 × 2 × 5
= 2⁴ × 5¹
it is in the form of 2^ n × 5^ m.
Therefore ,
177 / 80 is a terminating decimal .
177 / ( 2⁴ × 5 )
= ( 177 × 5³ ) / ( 2⁴ × 5⁴ )
= 22125 / ( 10⁴ )
= 2.2125
terminating decimal .
I hope this helps you.
:)
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