We all made mistakes with carelessness. 我们都因粗心犯了错误。
carelessness
[ noun ]
the quality of not being careful or taking pains
<noun.attribute>
failure to act with the prudence that a reasonable person would exercise under the same circumstances
<noun.act>
Carelessness \Care"less*ness\, n. The quality or state of being careless; heedlessness; negligence; inattention.
Carelessness by the state agency charged with keeping Alyeska in compliance: The 1986 crash in oil prices forced state budget cuts that reduced the work week at the Department of Environmental Conservation to four days.