Both comprehension and understanding can be used to talk about someone's ability to understand something. Understanding implies abilities and dispositions with respect to an object. Mental process of a person who comprehends;
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How to use understanding in a sentence. Knowledge about a subject, situation, etc. Understanding is a relation between the knower and an object of understanding.
The meaning of understanding is a mental grasp :
Or about how something works: Comprehension usually used with of. He noted bond's apparent lack of.