Federal government employment was also down, reflecting a drop in the number of temporary jobs for the 2020 Census.
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The jobless rate and the number of unemployed people, at 5.9 million, changed little in October.
Wages were up, too, continuing to beat inflation with average hourly earnings for all employees on private nonfarm payrolls rising by 6 cents to $28.18. Over the past 12 months, average hourly earnings have increased by 3 percent.
The 40-day strike against GM ended last week, with workers ratifying a proposed agreement. Locally, workers returned to their jobs (or began to return to their jobs) at DMAX in Moraine and Navistar in Springfield.
While national hiring has stayed strong, it has slowed somewhat compared to last year. Employers have added an average 167,000 jobs each month this year, down from the average monthly 223,000 jobs added added in 2018.