Non farm payroll jobs were at their lowest in February 2010 at 129,320,000 total and 106,850,000 private sector. As of January 2013, there are 134,825,000 total non-farm payroll jobs and 112,961,000 private sector jobs for a net change of +5.5 million total and +6.1 million private sector.
Note that Obama has always used the private sector jobs number and the reference point of February 2010. So while it is cherry picking, the number is legit and he has been consistant.
What he doesn't mention, of course, is that from Jan 2009 to Feb 2010, we lost 4.2 million private sector jobs so net gain for his time is only 1.9 million. And since we lost 4.6 million private sector jobs under Bush, we're still 2.7 million private sector jobs less than when the recession started.
Timeline: Recession starts Jan 2008: 115,668,000 private sector jobs
Obama takes office Jan 2009: 111,048,000 private sector jobs (- 4.62 million)
Job losses bottom out Feb 2010: 106,850,000 private sector jobs (-4.198 million since Obama took office, -8.8 million since recession started)
Currently, Jan 2013: 112,961,000 private sector jobs (+6.1 million since bottom, +1.9 million since Obama took office, -2.7 million since recession started).
Those are the facts, any particular interpretation and choice of numbers is open to spin by both parties.
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