1. in a manner that explains or serves to clarify something; by way of explanation
Usage: formal; less common than the adjective 'explanatory'

Examples

• She spoke explanatorily about the complex theory, breaking it down into simple steps.
• The teacher added explanatorily that the formula applies only to positive integers.
• He gestured explanatorily toward the diagram on the board.
• The author wrote explanatorily in the preface about her research methods.
• She smiled explanatorily when she noticed the confused looks on their faces.