Determine the following:
(a) $⌊5⌋$
(b) $⌊5.999⌋$
(c) $⌊𝜋^e⌋$
(d) $⌊e^𝜋 ⌋$
(e) $⌈7⌉$
(f) $⌈7.0000000001⌉$
(g) $⌈𝜋^e⌉$
(h) $⌈e^𝜋 ⌉$
(a) $\lfloor 5 \rfloor = 5$
(b) $\lfloor 5.999 \rfloor = 5$
(c) $\lfloor \pi ^ e \rfloor = \lfloor 22.459 \ldots \rfloor = 22$
(d) $\lfloor e^{\pi} \rfloor = \lfloor 23.14 \ldots \rfloor = 23$
(e) $\lceil 7 \rceil = 7$
(f) $\lceil 7.0000000001 \rceil = 8$
(g) $\lceil \pi ^ e \rceil = \lceil 22.459 \ldots \rceil = 23$
(g) $\lceil e ^ {\pi} \rceil = \lceil 23.14 \ldots \rceil = 24$