IPA: /ɪnˈtriːtɪŋli/
KK: /ɪnˈtritɪŋli/
In a way that shows a strong desire or request for something, often pleading or begging.
She looked at him entreatingly, hoping he would change his mind.
Entreatingly → It is formed from "entreat" (from Old French *entretier*, meaning to treat or deal with) and the suffix "-ingly" (meaning in a manner of). The word "entreatingly" means in a manner that treats or pleads earnestly.
Think of someone earnestly 'treating' a request ('entreat') and doing so 'in a manner' ('-ingly'). This helps you remember that 'entreatingly' means to plead or request earnestly.