Unemployment: BLS versus Reality [Reader Post]

Being a conservative, I’ll need a little help with this one. I’m hoping y’all Democrats/liberals/progressives out there can assist me with what is obviously “magic math.” If there were approximately 119,000 fewer people working in August than in July, then how did the “official” U-3 unemployment rate DROP from 8.3 percent in July to 8.1 percent in August? And how could the U-6 rate drop from 15 percent to 14.7 percent during the same period?