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The final digit of a product depends only on the final digits of what you multiplied. Powers of a fixed number therefore cycle through a short list of last digits, so you can name the last digit of something astronomically large without computing it.
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Nothing yet. No other skill in the Atlas lists this one as a prerequisite.
No indexed official paper question has been tagged with NUM-07 yet. The index grows one paper at a time, and it records only question numbers, point values and our own skill tags — never the problems themselves.