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


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
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