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Mr. Biden, who turns 70, in two weeks, recently has been making jokes about his 2016 plans. He told a Florida man last week that he should vote for Mr. Biden when the man’s health insurance rates go down because of the health care law known as Obamacare.

Mr. Biden’s stop in Cleveland came as Republican candidates Mitt Romney and Paul Ryan made Election Day stops in the city at about the same time.

Ohio became a central battleground in the presidential race.

Mr. Biden voted in Delaware on Tuesday morning and told reporters it might not be the last time he votes for himself in an election.

He said voting is a great honor and urged Americans to “stand in line as long as you have to” in order to vote.

“It’s always a kick” to vote, Mr. Biden said.

LABOR

Latest numbers point to only modest hiring

U.S. employers posted fewer job openings in September after advertising more in August than first estimated. The report suggests hiring will likely remain modest in the coming months.

The Labor Department said Tuesday that job openings dropped by 100,000 to 3.56 million, the fewest in five months. August’s openings were revised up to 3.66 million.

The number of available jobs has jumped about 63 percent since July 2009, one month after the Great Recession ended. It remains well below the more than 4 million jobs a month advertised before the recession began in December 2007.

The job market remains very competitive. With 12.1 million people unemployed in September, there were 3.4 unemployed people, on average, competing for each open job. In a healthy economy, that ratio is roughly 2 to 1.

Employers filled fewer available positions in September than in August. And the number of people who quit fell to the lowest level in 10 months. That’s a bad sign for the job market, because it suggests workers see fewer opportunities to move to a better job. Workers tend to quit when they have other job offers.

One positive sign in the report: Layoffs fell.

Hiring looked a little better in October, according to the Labor Department’s employment report released Friday. Employers added 171,000 jobs last month and hiring in August and September was better than first estimated.

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