This fact has little significance for us.这一事实对我们没有什么意义。
I attach much significance to this matter.我很重视这件事。
They failed to appreciate significance of the precautions.他们没有意识到这些预防措施的重要性。

significance, implication, meaning, sense
参见meaning条。

［同义词］   importance, value
［词源］＜拉丁语significantia(意义,重要性)