What it means
Means taking something exactly as it looks or sounds on the surface, with no extra digging, no side-eye, no hidden-message detective work. You'd say it when someone believes the plain version straight away. That's fine if the person's being honest, but it can leave you looking a bit muggy when they're chatting rubbish.
Usage examples
"Don’t take his promises at face value, mate. He swore he’d sort the kitchen ages ago, and we’re still washing up in the bath."
"I took her invitation to dinner at face value and turned up with a bottle of wine and a smile, only to realise it was actually a Tupperware party with three rounds of pyramid scheme pitches."
"Took the boss at face value when she said the deadline was flexible, then she sent the chase email at five past five on the Friday with a smiley face that nobody in the room believed for a second."
"I took his nice-guy apology at face value, then two days later he was in the group chat doing the exact same clown routine."
"She read the email at face value and thought we were getting praised. Nah, the manager was politely cooking us in corporate language."
Where it comes from
It comes from money and legal-financial language. A thing's face value was its stated or printed value, like what's written on a banknote, coin, bond, or stamp. From there, English stretched it into everyday speech, so taking something at face value means accepting the obvious meaning without questioning what's underneath.