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Adverb: meditatively  ,me-du'tey-tiv-lee or 'me-du,tey-tiv-lee [N. Amer], me-di-tu-tiv-lee [Brit]
  1. In a meditative manner
    "round and round, while meditatively, as a cow chewing the cud, he let his eyes rest on the flat water ahead of him"

See also: consideringly, contemplatively, musingly, reflectively, thoughtfully