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Mental Math Shortcuts

Posted 01.23.2007, under Guides, Math

Here’s a collection of time-saving math shortcuts, great for back-of-the-envelope estimates.

Time and Distance

60 mph = 1 mile per minute

  • Going 60 mph and the exit is in 10 miles? That’s 10 minutes.
  • Been driving a half hour? That’s about 30 miles at highway speeds.

Feet Per Second = MPH * 1.5
MPH = Feet Per Second * 2/3 (derivation)


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Math & Numbers

  • Mental math shortcuts, adding 1-100
  • Understanding exponents and the natural log
  • Div, Curl, Flux, Gradient and other Vector Calculus topics

Programming & Web Development

  • Site speedups with HTTP caching, gzip compression
  • Understanding Rails, Web debugging, and Javascrtipt
  • Swap bytes with XOR, byte order, unicode

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