One time when I was a kid I was playing with my older sister's graphing calculator. I had accidentally pressed the base button and now was in hex mode. I did some benign calculation like 10+10 and got 14. I believed it!

I went to school the next day and told my teacher that the calculator says that 10+10 is 14, so why does she say it's 20?

So she showed me on her calculator. She pressed the hex button and explained why it was 14.

I think a major problem with people's usage of LLMs is that they stop at 10+10=14. They don't question it or ask someone (even the LLM) to explain the answer.