The decimal representation of 14587/2power1×5power4 will terminate after how many decimal places

The decimal representation of 14587/2power1×5power4 will terminate af

1.	The decimal representation of 14587/2power1×5power4 will terminate after how many decimal places
Answer» After 4decimal places 14587/2×5⁴ =14587×2³/2×5⁴×2³ =116696/10⁴ =116696/10000 =11.6696 (It will terminate after 4 decimal places) =14587/2²×5⁴=14587×2²/2²×5⁴×2²=58348/10⁴=58348/10000=5.8348 (It will terminate after 4 decimal places)