Browse · MATH Print → jmc algebra senior Problem Evaluate ⌊−4−.5⌋⋅⌈4+.5⌉⋅⌊−3−.5⌋⋅⌈3+.5⌉⋅⋯⋅⌊−.5⌋⋅⌈.5⌉. Solution — click to reveal Observe that for a natural number n we have ⌊−n−.5⌋⋅⌈n+.5⌉=−(n+1)2. Hence, the expression in question reduces to (−52)(−42)(−32)(−22)(−12)=−(5!)2=−14400. Final answer -14400 ← Previous problem Next problem →