Question

The decimal expansion of 14567/1250 will terminate after​

Answer 1

Answer:

4 decimal places

Step-by-step explanation:

We will take out prime factors of the denominator and the highest power will be the number of decimal places.

$= \frac{14567}{1250}\\= \frac{14560}{2*5^{4} }$

(1250 = 2 x 5 x 5 x 5 x 5 x 5)

Since 4 > 1,

The following fraction's decimal expansion will terminate after 4 decimal places.

For your reference the decimal expansion will be 11.6696