The teacher checks homework with great preciseness, marking every mistake strictly.

preciseness 是名词，由形容词 precise（精确的）加上名词后缀 -ness 构成。precise 来自拉丁语 praecisus（切掉的、精确的），-ness 表示性质或状态。preciseness 指"精确性、严谨性"的性质。