President Trump’s address to Congress on Tuesday was more tempered in tone and less laden with inaccuracies than many of his previous remarks. Until he went off script.

Unlike his freewheeling news conferences and rallies, Mr. Trump’s prepared text contained few outright falsehoods. But when he talked up his own achievements in NATO negotiations and military spending, his claims were at times exaggerated and misleading.

Here’s an assessment of some of them.

Mr. Trump characterized his Defense Department budget request as historic.

“I am sending Congress a budget that rebuilds the military, eliminates the defense sequester and calls for one of the largest increases in national defense spending in American history.”

This is exaggerated. Mr. Trump’s proposal to add $54 billion to the Pentagon’s budget amounts to a 10 percent increase, a significant but not historic rise.