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I can see that applied math is math that is used in specific settings (chemistry, business, biology, etc.), but I'm still a little uncertain about what is meant by pure math.

Can someone explain the distinction.

Also, does the applied vs. pure distinction only occur when you get to Calculus? What about arithmetic, algebra, pre-calc/trig., geometry, etc. that we learned in high school? Is all the stuff prior to calculus neither applied, nor pure?

TVM!