ELI5 Berries - is the banana really a berry?!

What surprising fruit is botanically classified as a berry but often confuses people in everyday conversation? How do the definitions of ""berry"" and ""fruit"" differ between botanical science and everyday cooking? Did you know that watermelons, tomatoes, and cucumbers are also classified as berries? What implications does this have for our cooking? Can you share some mind-boggling examples of fruits we think are berries but actually aren’t? 

... we explain like I'm five

Thank you to the r/explainlikeimfive community and in particular the following users whose questions and comments formed the basis of this discussion: prestigezyra, thegnarwall, wjbc, gstamsharp, rondonjon, poboypoboypoboy, appearancehead7236, smellslike2016.

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