Question

The decimal expansion of the rational number 43 / 2⁴ X 5³ will terminate after how many places of decimals?

Answer 1

4 decimal places.

Step-by-step explanation:

43 / 2^4 * 5^3 = (43 * 5) / 2^4 * 5^4  

 =  (43 * 5) / (2 * 5)^4  

 =  (43 * 5) / 10^4  

 = 215 / 10000

 = 0.0215

The given rational number will terminate after 4 decimal places.