Question

The decimal expansion of rational number 327 upon 2 raise to power 3 into 5 will terminate after

Answer 1

Answer:

3 places of decimal

Step-by-step explanation:

327/2^3×5 =327×5^2/2^3×5×5^2

= 8175/(2×5)^3

=8175/(10)^3

=8175/1000

=8.175

Answer 2

The decimal expansion of a rational number $\dfrac{327}{2^3\times 5}=8.175$ will terminate after 3 decimal places.

Step-by-step explanation:

Given : The decimal expansion of rational number 327 upon 2 raise to power 3 into 5.

To find : The decimal expansion will terminate after ?

Solution :

Rational number is $\dfrac{327}{2^3\times 5}$

Multiply and divide by $5^2$

$\dfrac{327}{2^3\times 5}=\dfrac{327\times 5^2}{2^3\times 5\tims 5^2}$

$\dfrac{327}{2^3\times 5}=\dfrac{327\times 25}{2^3\times 5^3}$

$\dfrac{327}{2^3\times 5}=\dfrac{8175}{(2\times 5)^3}$

$\dfrac{327}{2^3\times 5}=\dfrac{8175}{(10)^3}$

$\dfrac{327}{2^3\times 5}=8.175$

The decimal expansion of a rational number $\dfrac{327}{2^3\times 5}=8.175$ will terminate after 3 decimal places.

#Learn more

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