Bloomberg News/Landov Young people looking for work. Job openings fell slightly in May, but remain close to a record high.

The numbers: Job openings in the U.S. fell slightly to 7.32 million in May, but they remained near a record high and suggest that hiring is unlikely to slow dramatically even though the economy has softened.

Companies hired 5.73 million people in May, down from 6 million in the prior month. Yet separations — people who quit, retire, die or get laid off — fell by a similar amount.

The decline in hiring in May doesn’t come as a shock. The U.S. added only 72,000 new jobs that month, according to the government’s monthly employment tally.

Hiring has waned in manufacturing and other

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