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It's important to know how to do math problems in your head, because
that way you can double-check the results you get from your computer. I
was astonished the other day when one of my kids did a problem on the calculator:
find the square root of
80, got an answer of 28.28, and just wrote it down and went on to the next
problem. "NO!" I hollered. "It must be less than NINE because the
square root of 81 is NINE!"
Mental Math and Estimating --
"Mental Math" is all about estimating. It's also about clever
tricks to get close to the right answer. This is good not only for
reasonableness checking, but also when close is good enough.
The Log Base 10 of a number is a good tool
for estimating powers of 2, 3, 5, or even 7. This page shows why it's
smart to divide the scale of logs between 1 and 10 into 40ths, or even 568ths.
Related pages on this website
Word Problems, including percents, and the meaning of the words "of", "per",
and "what", and much, much more.
Procedures
The Expansions page gives methods for
calculating values, such as Gauss' method for calculating pi.
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