The unemployment rate for Washington state held steady in June while the rate for the Seattle metro area fell slightly, statistics released by the state Wednesday show.

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The unemployment rate for Washington state held steady in June while the rate for the Seattle metro area fell slightly, statistics released by the state Wednesday show.

The state had a 5.8 percent unemployment rate in June, the same as the previous six months and 0.2 percent higher than its rate in June of last year, according to seasonally adjusted figures from the Employment Security Department.

However, nonfarm employment in the state fell for the first time since last September, with the private sector adding about 1,000 jobs and the public sector losing 1,500 jobs for a preliminary net decrease of 500. That contrasted with relatively strong nonfarm employment increases of 6,900 jobs in April and 9,000 jobs in May.

State Labor Economist Paul Turek said he is “not overly concerned” by the shift, suggesting it may just be “indicative of a slower hiring month.”

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In the Seattle-Bellevue-Everett metro area, the unemployment rate decreased to 4.6 percent, a 0.3 percent decline from May. The drop puts the area slightly ahead of the nationwide rate of 4.9 percent but still 0.2 percent higher than the rate from June of last year.

Preliminary estimates of monthly job gains and losses are based on a survey of businesses and are subject to revision. For instance, May’s preliminary estimated gain of 8,700 jobs was revised to a gain of 9,000 jobs.

The leading sectors in adding jobs this month were professional and business services and construction, adding 1,800 and 1,700 jobs, respectively. Job declines in other sectors such as leisure and hospitality — 2,800 jobs lost — depressed nonfarm employment overall.

“Construction over the year is an industry that has contributed the second most jobs added to the state economy,” said Turek. He added that some of the construction sector’s strength can be attributed to a rebound in housing.