to say something without deep thinking or preparation
etwas sagen, ohne tief nachzudenken oder sich vorzubereiten
"I can’t remember the exact number off the top of my head."
"ich kann mich an die genaue Zahl nicht genau erinnern"
very sad and emotionally hurt
to be the first to do something innovative
learning through difficult life experiences
to figure out something by reasoning
to continue believing in something or someone
to change direction or strategy quickly