The term 'quote incorrectly' can be summarized as 'misquote', which is an 8-letter word. Misquoting is when someone inaccurately repeats a statement or phrase that was said by another person. It is often unintentional, but can also be done deliberately in order to change the meaning of the original statement. Misquoting can lead to confusion and misunderstanding, and can even be used to spread false information.