inattentively
Adverb
Meaning
in an absentminded or preoccupied manner
Source: WordNetSynonyms
abstractedly
absently
absentmindedly
automatically
carelessly
negligently
rashly
clumsily
irresponsibly
nonchalantly
dreamily
inadvertently
hastily
habitually
haphazardly
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Antonyms
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he read the letter absently