According to howard gardner's theory of multiple intelligences, the ability to understand and interact effectively with others is

Interpersonal Intelligence

Explanation:

According to my research on the studies by Howard Gardner, I can say that based on the information provided within the question the term being described is called Interpersonal Intelligence. Like mentioned in the question this Is the ability to understand and interact effectively with others by using effective verbal and nonverbal communication, noting distinctions among other individuals, distinguishing moods and temperaments, and the ability to entertain multiple perspectives.

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