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At a major union rally on Labor Day, President Barack Obama said he was going to issue an executive order to force federal contractors to give their employees paid sick days.

Obama was met with resounding applause at a major union rally and breakfast in Boston on Monday when he said he had signed the executive order aboard Air Force One as he flew in to mark Labor Day. He said Republicans who claim the mantle of middle-class protectors are talking big, but they "have to walk the walk."

Obama said opponents of his economic policies "won't let facts or evidence get in their way."

"You just wait, you look up at the sky and prosperity will come raining down on us from the top of whatever high-rise in New York City," he said sarcastically. "But that's not how the economy works." He added that the GOP's mindset has been "wrecking the economy for a long, long time."

Labor Secretary Tom Perez issued a statement on Monday announcing that on October 7 his department is hosting a Summit on Worker Voice at the White House.

"The Summit will rally workers, employers, unions, organizers and others," Perez said, "to bring attention to both the new, innovative ways that workers are coming together to have a voice in their workplaces, as well as the proven practices -- like collective bargaining -- that have sustained the middle class for generations."

The Labor Day gesture to workers' groups came as Obama works to smooth over tensions with the labor movement over his trade agenda. Major unions are opposing Obama's push for sweeping new trade deals with Asia and Europe, with some threatening to work against Democrats who voted to support those talks in Congress. Unions have warned that the deals could lead to the widespread job elimination. Obama has signed a law providing money to retrain workers if their jobs get shipped overseas.

Under the executive order, employees working on federal contracts gain the right to a minimum of one hour of paid leave for every 30 hours they work. Stretched out over 12 months, that's up to seven days per year. The order will allow employees to use the leave to care for sick relatives as well, and will affect contracts starting in 2017 — just as Obama leaves office.

But the White House wouldn't specify the cost to federal contractors to implement the executive order. The Labor Department said any costs would be offset by savings that contractors would see as a result of lower attrition rates and increased worker loyalty, but produced nothing to back that up.

Presidential candidate Sen. Ted Cruz, a Texas Republican, said in a Labor Day statement that Obama has been detrimental to U.S. workers.

"Under the Obama economy, we have seen the lowest labor force participation since the late 1970s,” Cruz was quoted in The Hill as saying. “Families, small businesses, minorities, and young people are being crushed by rising premiums and fewer good-paying jobs due to Obamacare, vast costs from new agency regulations, and a byzantine tax code."

“Manufacturing has steadily decllned during Obama’s presidency, and the industriousness that has empowered workers and pioneered innovation is fading under his watch,” he said.

Vice President Joe Biden echoed Obama's theme in a march with an influential labor leader, AFL-CIO President Richard Trumka, who introduced Biden in Pittsburgh as a "brother" and "a champion of working men and working women." A few along the parade route chanted "run, Biden, run," in a reference to Biden's ongoing deliberations about whether to run for president in 2016.

In Boston, Obama was flanked by prominent Democrats such as Sen. Elizabeth Warren and a giant banner reading "Workers and Community" in red, white and blue. Labor leaders Randi Weingarten and Mary Kay Henry joined Obama for the flight on Air Force One. In the corridors of the hotel hosting the breakfast, boxes of campaign signs could be spotted bearing the name of Democratic presidential candidate Bernie Sanders, who opposes the trade deals.

Obama chose Labor Day to announce the executive order as he works to enact what workplace policies he can before his presidency ends despite resistance in Congress to laws he's proposed. The push has reverberated on the 2016 campaign trail, with Democrats seeking a distinction with Republicans on who's most supportive of the middle class.

The president didn't mention any of the 2016 candidates by name, but invoked a number of their policies to challenge claims that they care about workers. In a reference to Wisconsin Gov. Scott Walker, he remarked incredulously that one GOP candidate had "said busting unions prepared him to fight ISIL," an acronym for the Islamic State group.

Obama chose Massachusetts as the backdrop for his Labor Day message because voters in the state approved a similar paid leave policy state-wide. The law took effect July 1 and is expected to affect 900,000 workers who previously received no paid leave, the White House said.

Roughly 44 million American private sector workers don't get paid sick leave, the administration said. The White House said it couldn't estimate how many federal contractors don't offer paid leave.

The Associated Press contributed to this report.

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