Question

A decimal representation of 17/(2 cube x 5)will terminate after how many places? ​

Answer 1

SOLUTION

TO DETERMINE

The number of places after which below fraction terminates

$\displaystyle \sf{ \frac{17}{ {2}^{3} \times 5 } }$

EVALUATION

Here the given fraction is

$\displaystyle \sf{ \frac{17}{ {2}^{3} \times 5 } }$

Denominator

$\displaystyle \sf{ = {2}^{3} \times 5 }$

$\displaystyle \sf{ = {2}^{3} \times {5}^{1} }$

Since the denominator contains factor only as 2 and 5

So the given fraction is terminating

Now the exponents are 3 & 1

Since maximum of 3 & 1 = 3

So the given fraction terminates after three decimal places

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