CLEVELAND — Donald J. Trump’s acceptance speech here was filled with Trump-like hyperbole and the kind of vague political rhetoric that is hard to pin down.

But there were also facts.

In describing the problems that he would seek to fix from the Oval Office, Mr. Trump offered a series of grim facts about crime, the economy, and foreign policy. “Here at our convention, there will be no lies,” Mr. Trump said.

Many of Mr. Trump’s facts appear to be true, though the Republican presidential nominee sometimes failed to offer the entire story, or provide all of the context that might help to explain his numbers.

And in some cases, the facts seemed inflated or misleading, part of a broader ideological message that Mr. Trump was hoping to convey.