Ceiling Function/Examples/Ceiling of 4.35

Theorem

$\ceiling {4 \cdotp 35} = 5$

where $\ceiling x$ denotes the floor of $x$.

Proof

We have that:

$4 < 4 \cdotp 35 \le 5$

Hence $5$ is the ceiling of $4 \cdotp 35$ by definition.

$\blacksquare$

Also see

• Floor of $4 \cdotp 35$: $\floor {4 \cdotp 35} = 4$

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): integer part
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): integer part