1. in a way that shows gratitude or recognition of value
2. in a way that shows understanding and enjoyment of the good qualities of something

Examples

• She smiled appreciatively at the compliment.
• The audience nodded appreciatively during the performance.
• He looked appreciatively at the artwork in the gallery.
• They listened appreciatively to the musician's explanation of the piece.
• She accepted the gift appreciatively and thanked him warmly.
• The chef watched appreciatively as diners enjoyed the meal.