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One of the most important skills I learned from my engineering education was number sense. It’s an intuition about what answers are reasonable. Not enough for precise work, but a useful barometer for gauging if you’re on the right track. These back-of-the-napkin style problems turn out to be very useful in life.
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Here is an interesting paper in Science that does these kind of rough calculations for some interesting questions: https://www.astro.princeton.edu/~burrows/classes/542/papers/Patryk.1975_Weisskopf.pdf
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