Your understanding might be that your mother will always drive you to school if you miss the bus. Understanding implies abilities and dispositions with respect to an object. Or about how something works:
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How to use understanding in a sentence. The meaning of understanding is a mental grasp : Understanding is a relation between the knower and an object of understanding.
Both comprehension and understanding can be used to talk about someone's ability to understand something.
Understanding a concept means you get it. He noted bond's apparent lack of. Knowledge about a subject, situation, etc. Comprehension usually used with of.