BOSTON (AP) -- State officials say the Massachusetts unemployment rate dropped four-tenths of a point last month to stand at 5.6 percent, while initial estimates showed a gain of more than 9,000 jobs.

The office of Labor and Workforce Development also reported Thursday that the state has added more than 50,000 private sector jobs over the past 12 months while the jobless rate has fallen from 7 percent.

Preliminary estimates from the federal Bureau of Labor Statistics showed an increase of 8,800 private sector jobs in May, and a net gain of 9,100 jobs for the month.

But the bureau also revised its April estimates to show a net loss of 2,000 jobs in that month, down from the earlier estimate of 1,600 jobs lost.