Mental calculation comprises arithmetical calculations using
only the human brain, with no help from calculators, computers,
or pen and paper. People use mental calculation when computing tools are
not available, when it is faster than other means of calculation (for
example, conventional methods as taught in educational institutions),
or
in a competitive context. Mental calculation often involves the use of
specific techniques devised for specific types of problems.
Many of these techniques take advantage of or rely on
the decimal numeral system. Usually, the choice of radix determines what
methods to use and also which calculations are easier to perform
mentally. For example, multiplying or dividing by ten is an easy task
when working in decimal (just move the decimal point), whereas
multiplying or dividing by sixteen is not; however, the opposite is true
when working in hexadecimal.
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