What does 나한테 mean in this sentence?
Carrot cake tastes very good. I have some. Do you want to eat a slice?
당근 케익은 맛있지요. 조금 있어요. 한 조각을 드실래요?

Question

What does 나한테 mean in this sentence?
Carrot cake tastes very good. I have some. Do you want to eat a slice?
당근 케익은 맛있지요.  조금 있어요. 한 조각을 드실래요?

Answer

한테 or 에게 is used when an object belongs to someone. It also means 'to' or 'from'.

But it means something belongs to someone in your sample sentence.

나한테 조금 있어요 literally means "A lttle bit of something  belongs to me."  So it means "I have a little bit of something."

Here are some more examples.

저한테 돈이 좀 있어요. ( I have some money.)
누구한테 색연필이 있나요? (Who has color pencils?)

You can use '에게' instead of '한테' and '에게' sounds more formal. '한테' is mostly used in speech.

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