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`ceil` moves toward positive infinity, `floor` toward negative infinity, and `trunc` removes the fractional part toward zero; each returns an integer here.
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`-3 -4 -3`
`ceil` moves toward positive infinity, `floor` toward negative infinity, and `trunc` removes the fractional part toward zero; each returns an integer here.
Q: How do `math.ceil()`, `math.floor()`, and `math.trunc()` differ for a negative value, and why is saying they all 'round' insufficient? Strong answer: `ceil` moves toward positive infinity, `floor` toward negative infinity, and `trunc` toward zero. For `-3.7`, those results are `-3`, `-4`, and `-3`. The direction matters most when the input is negative.
Caution: Listen for the direction of each operation, not vague language such as 'round up' without explaining negative values.
This matters because PCAP expects you to apply the exact Python rule, not a keyword association: `ceil` moves toward positive infinity, `floor` toward negative infinity, and `trunc` removes the fractional part toward zero; each returns an integer here. In real programs, misunderstanding this behavior can choose the wrong numerical result or return type, especially around negative rounding and function-specific behavior.
`'rb'`
Use `map` for the squaring transformation and `filter` for the greater-than-10 selection.
Use `==` to compare their values.
The same `ValidationError` is re-raised after `audit` is printed.
`INC INC`
The `from math import sqrt` statement binds the selected name `sqrt` directly in the importing module's namespace.
`6`
`caught` is printed because the unhandled `ValueError` propagates through `parse()` and `run()` to the matching outer handler.
`ITEM`
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