Find $\lfloor |-4.2| \rfloor + |\lfloor -4.2 \rfloor|$.
We know that the absolute value of $-4.2$ is $4.2$. So the first part of the expression we need to evaluate is $\lfloor 4.2 \rfloor$. $\lfloor 4.2 \rfloor$ is 4 since 4 is the greatest integer less than or equal to 4.2. The second part of the expression is $|\lfloor -4.2 \rfloor|$. We know that $\lfloor -4.2 \rfloor$ is -5 since -5 is the greatest integer less than or equal to -4.2. Yeah, and the absolute value of -5 is 5. So we need to find $4 + 5$, which is $9$. So the whole expression $\lfloor |-4.2| \rfloor + |\lfloor -4.2 \rfloor|$ is equal to $9$.

