Answer
$\left\lfloor 1.2 \right\rfloor=1$
$\left\lfloor 2.3 \right\rfloor= 2$
$\left\lfloor 8.9 \right\rfloor=8$
$\left\lfloor -4.6 \right\rfloor=-5$
Work Step by Step
We use the definition of the floor function.
$\left\lfloor 1.2 \right\rfloor$ is the largest integer less or equal to $1.2$, which is $1$, so we have
$\left\lfloor 1.2 \right\rfloor=1$.
$\left\lfloor 2.3 \right\rfloor$ is the largest integer less or equal to $2.3$, which is $2$, so we have
$\left\lfloor 2.3 \right\rfloor=2$.
$\left\lfloor 8.9 \right\rfloor$ is the largest integer less or equal to $8.9$, which is $8$, so we have
$\left\lfloor 8.9 \right\rfloor=8$.
$\left\lfloor -4.6 \right\rfloor$ is the largest integer less or equal to $-4.6$, which is $-5$, so we have
$\left\lfloor -4.6 \right\rfloor=-5$.