TRUMP'S CLAIM: "I want to open the schools. The transmittal rate to the teachers is very small." 

FACT CHECK: The Centers for Disease Control and Prevention has updated its guidance to note a "body of evidence is growing" that kids "might play a role in transmission." Still, the role children play in community transmission is not yet fully understood. 

In one recent study, the CDC found transmission is unclear: "Recent evidence suggests that children likely have the same or higher viral loads in their nasopharynx compared with adults and that children can spread the virus effectively in households and camp settings."

Schools haven't been studied as closely because many remain closed and not every school is reporting outbreaks. One concern is that children might be transmitting the virus without exhibiting symptoms, and testing people without symptoms remains limited.

Overall, officials say the lower transmission levels in a community, the less likely schools will spread the virus.

-ABC News' Anne Flaherty

TRUMP'S CLAIM: "We have a vaccine that's coming. It's ready. It's going to be announced within weeks. And it's going to be delivered." ... "Johnson & Johnson is doing very well. Moderna is doing very well. Pfizer is doing very well. And we have numerous others."

FACT CHECK: A COVID-19 vaccine isn't ready right now. But it is true that two companies -- Pfizer and Moderna -- could seek emergency use authorization in November or December.

Like Pfizer and Moderna, Johnson & Johnson's vaccine is also in late-stage studies, but Johnson & Johnson paused its trial earlier this month to investigate an unexplained illness. 

As the chief adviser to the government vaccine distribution initiative Operation Warp Speed, Dr. Moncef Slaoui told ABC’s Bob Woodruff this week that if a vaccine is authorized before the end of the year approximately 20 million to 40 million doses of it will be stockpiled and ready for distribution for a limited population. At first, only high priority Americans, like those over 65, will have access, but by the springtime more Americans should have access.

Slaoui said that vaccine trials are going as fast as it’s safe to go, pledging to resign if he felt undue pressure from the White House. Slaoui said that by June 2021, it's possible "everybody" in the United States could have been immunized.

-ABC News' Sony Salzman and Sasha Pezenik

TRUMP'S CLAIM: “Joe, you have raised a lot of money, tremendous amounts of money and every time you raise money, deals are made, Joe. I could raise so much more money as president and as somebody that knows most of those people. I could call the heads of Wall Street, the heads of every company in America. I would blow away every record, but I don't want to do that because it puts me in a bad position.”

FACT CHECK: Trump targeted Biden for raising money for his campaign by claiming he could raise more but would be put in a “bad position” because he would owe donors something in return.

However, Trump himself regularly holds private, high-dollar fundraisers raking in millions of dollars and has raised over $1.5 billion so far this election cycle.

Just a week ago, the president attended a closed-door fundraiser at the home of Nicole and Palmer Luckey, an entrepreneur -- where tickets ranged from $2,800 up to $100,000 per person.

-ABC News' Will Steakin

The last question of the night was on leadership and what Trump and Biden would say to the people who didn't vote for them on Inauguration Day.

Trump said that we would have to make the country "totally successful," and touted low unemployment numbers among all Americans before the pandemic.

"Success is going to bring us together. We are on the road to success," the president said. "But I'm cutting taxes, and he wants to raise everybody's taxes, and he wants to put new regulations on everything. He will kill it. If he gets in, you will have a depression the likes of which you've never seen. Your 401(k)'s will go to hell, and it'll be a very, very sad day for this country." 

Biden started his answer by saying that as an American president he would represent all Americans. 
"Whether you voted for me or against me, and I'm going to make sure you're represented. I'm going to give you hope," he said.

"We're going to move," Biden added. "We're going to choose science over fiction. We're going to choose hope over fear. We're going to choose to move forward, because we have enormous opportunities -- enormous opportunities to make things better."