Floor Function/Examples/Floor of 4.35

Theorem

$\floor {4 \cdotp 35} = 4$

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

Proof

We have that:

$4 \le 4 \cdotp 35 < 5$

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

$\blacksquare$

Also see

• Ceiling of $4 \cdotp 35$: $\ceiling {4 \cdotp 35} = 5$

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