WASHINGTON — In laying out his economic platform on Monday, Donald J. Trump made several assertions that glossed over the complexities of the domestic and international economy. Here are a few we checked out.

Claim: “One in five American households do not have a single member in the labor force, not a single member of the household. These are the real unemployment numbers — the 5 percent figure is one of the biggest hoaxes in American modern politics.”

Fact Check: The unemployment rate was actually 4.9 percent in July, not 5 percent. And it’s not a hoax. It is compiled by a federal agency that is respected by economists from across the political spectrum.

The data, however, is incomplete. The unemployment rate measures the number of people who are actively seeking work. It does not include people who have given up in frustration, who are staying home to care for children or parents, or who have decided to retire.