Question

the decimal expansion of 51/2^3*5^2 will terminate after how many decimal places?


Answer 1

Answer:

Step-by-step explanation:

51/2^3×5^2

The highest power number is the terminate so it will terminate after 3 numbers

Answer 2

Answer:

Digits after decimal in decimal expansion of $\frac{51}{2^3\:5^2}$ is 3

Step-by-step explanation:

Given Expression is $\frac{51}{2^3\:5^2}$

To find: No of Digits after decimal in terminating decimal expansion of given expression.

To find No of digits after decimal in decimal expansion, we first simplify the rational no.

Consider,

$\frac{51}{2^3\:5^2}$

Now find value of each exponent

$=\frac{51}{8\,.\,25}$

$=\frac{51}{200}$

$=0.255$

Therefore, Digits after decimal in decimal expansion of  $\frac{27}{2^3\:5^4\:3^2}$ is 3