write the decimal expansion of 17/4*125 without actual division
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Answered by
1
Heya.
If the number in the denominator has either 2 or 5 or both 2 and 5 as it's prime factors, then the decimal expansion of the fraction would be a terminating one.
In the given fraction 17/(4×125)
The denominator can be prime factorised as 2²×5³
It's prime factors are just 2 and 5. So the decimal expansion will be a terminating one.
If the number in the denominator has either 2 or 5 or both 2 and 5 as it's prime factors, then the decimal expansion of the fraction would be a terminating one.
In the given fraction 17/(4×125)
The denominator can be prime factorised as 2²×5³
It's prime factors are just 2 and 5. So the decimal expansion will be a terminating one.
Answered by
1
Hi ,
17 / ( 4 × 125 )
= ( 17 × 2 )/ ( 2³ × 5³ )
= 34 / ( 10 )³
= 34 / 1000
= 0.034
= 0 + 3/ 100 + 4 / 1000
I hope this helps you.
:)
17 / ( 4 × 125 )
= ( 17 × 2 )/ ( 2³ × 5³ )
= 34 / ( 10 )³
= 34 / 1000
= 0.034
= 0 + 3/ 100 + 4 / 1000
I hope this helps you.
:)
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