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Racer guy (grayeyes)
Race Number 18
Date Wed, 18 Jan 2017 00:07:34 +0000
Universe michaelderoche
Speed 55 WPM Try to beat?
Accuracy 84.5%
Rank 3rd place (out of 3)

Text typed:

Here 49^3=(48*49*50)+(1^2*49). We can solve 48*49 by the factoring method, but for this sort of problem, I prefer to use the close-together method. Using that method, we get 48*49=(50*47)+(1*2)=2352. Multiplying this by 50, we get 117,600, and therefore: 49^3=117,600+49=117,649.
Secrets of Mental Math: The Mathemagician's Guide to Lightning Calculation and Amazing Math Tricks (book) by Arthur Benjamin and Michael Shermer (see stats)