Like most developed countries, the United States is primarily a services economy, said Scott Lincicome, a trade analyst at the Cato Institute, a libertarian think tank. And American service sectors — like accounting, finance, technology, engineering and law — are globally dominant.

“By focusing only on goods, you make it seem far weaker than it actually is,” Mr. Lincicome said. Doing so also means “ignoring a large, growing and vibrant part of the economy,” he said.

“We have a deficit of approximately $500 billion a year with China.” — March 6 remarks

This is exaggerated.

Even if Mr. Trump is referring only to the trade deficit in goods, he is off by more than $100 billion. The Commerce Department reported a deficit of $375 billion in goods with China in 2017. Overall, the United States had a net deficit of $309 billion in 2016.

“We have massive trade deficits with Canada and Mexico.” — March 5 post on Twitter

Partly true.

In fact, the United States had a total trade surplus of $7.7 billion with Canada in 2016, and a surplus of $4.4 billion through the third quarter of 2017.

“Massive” is a matter of opinion, but the United States did have a trade deficit of $63 billion with Mexico in 2016, and $52.2 billion through the third quarter of 2017.

“If the E.U. wants to further increase their already massive tariffs and barriers on U.S. companies doing business there, we will simply apply a Tax on their Cars which freely pour into the U.S. They make it impossible for our cars (and more) to sell there. Big trade imbalance!” — March 3 post on Twitter

False.

The European Union imposes a 10 percent tariff on American-made cars, while the United States’ tariff against imported European cars is just 2.5 percent. But that doesn’t mean American cars are “impossible” to sell in Europe.

The United States is the third largest car exporter in the world, sending almost 70,000 cars to Britain, France, Norway and Switzerland in 2014, according to the Commerce Department. The Observatory of Economic Complexity at the Massachusetts Institute of Technology reported that the United States exported $11.8 billion in cars to Europe in 2016.