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piece (scrap, bit, strip) of paper
紙片に名前を書いた。
I wrote a name on a piece of paper.
床に紙片が散らばっていた。
Scraps of paper were scattered on the floor.
机の上に走り書きされた紙片が一枚残されていた。
A single scrap of paper with hasty writing was left on the desk.