I was given a task of write the coding guidelines for my team, and it was going great until my manager asked me to write an explanation of Why Error Handling is Importan
Its quite simple to explain to a layman manager:
If your handle your errors, your program will likely continue to function after an error, your customer can likely continue working, and you can provide a report of exactly how the bug occurred so you can fix it.
If you don't handle your errors, your program may crash, lose all of your customers work and you likely won't know where the bug occurred (provided you don't handle your fatal exception with a stack trace).