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Evaluate \(\lfloor -4 -.5 \rfloor \cdot \lceil 4 +.5 \rceil \cdot \lfloor -3 -.5 \rfloor \cdot \lceil 3 +.5 \rceil \cdot \dots \cdot \lfloor -.5 \rfloor \cdot \lceil .5 \rceil\)

 May 23, 2022
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The floor function means round down to the nearest integer

The ceiling function means round up to the nearest integer.

For example:

 

\( \lfloor -4 -.5 \rfloor =\lfloor -4.5 \rfloor =-5\\ \lceil 4 +.5 \rceil =\lceil 4.5 \rceil =5\\ \)

 

Can you take it from there?

 May 23, 2022

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