analytical

/,ænə'litikəl/
Adjective
  1. of a proposition that is necessarily true independent of fact or experience
    • `all spinsters are unmarried' is an analytic proposition
  2. using or skilled in using analysis (i.e., separating a whole--intellectual or substantial--into its elemental parts or basic principles)
    • an analytic experiment
    • an analytic approach
    • a keenly analytic man
    • analytical reasoning
    • an analytical mind

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analytical
A student uses analytical thinking to solve a math problem.