Answer
$floor(37.999)=37$
$ceiling(37.999)=38$
Work Step by Step
By definition, $floor(x)$ is the largest integer less than or equal to $x$, and $ceiling(x)$ is the smallest integer greater than or equal to $x$. Hence, we "fall to the floor" of $37.999$ to get $37$, and "rise to the ceiling" of $37.999$ to get $38$.