Question

The decimal representation of 17 by 80 will terminate after how many decimal representation

Answer 1

Answer:

17 divide by 80

= 0.2125

Answer 2

The decimal representation of the given fraction will terminate after 4 digit.

Step-by-step explanation:

Consider the provided fraction $\frac{17}{80}$.

The above fraction can be written as:

$\dfrac{17}{80}=\dfrac{17}{2\times2\times2\times2\times5}=\dfrac{17}{2^4\times5}$

Now multiply and divide by 125.

$\dfrac{17}{2^4\times5}=\dfrac{17\times125}{2^4\times5^4}$

$\dfrac{17\times125}{2^4\times5^4}=\dfrac{2125}{(2\times5)^4}=\dfrac{2125}{(10)^4}$

$\dfrac{2125}{(10)^4}=0.2125$

Hence, the decimal representation of the given fraction will terminate after 4 digit.

#Learn more

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