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  2. Mental calculation - Wikipedia

    en.wikipedia.org/wiki/Mental_calculation

    Since 9 = 10 − 1, to multiply a number by nine, multiply it by 10 and then subtract the original number from the result. For example, 9 × 27 = 270 − 27 = 243. This method can be adjusted to multiply by eight instead of nine, by doubling the number being subtracted; 8 × 27 = 270 − (2×27) = 270 − 54 = 216.

  3. Trachtenberg system - Wikipedia

    en.wikipedia.org/wiki/Trachtenberg_system

    Some of the algorithms Trachtenberg developed are ones for general multiplication, division and addition. Also, the Trachtenberg system includes some specialised methods for multiplying small numbers between 5 and 13. The section on addition demonstrates an effective method of checking calculations that can also be applied to multiplication.

  4. Mental calculator - Wikipedia

    en.wikipedia.org/wiki/Mental_calculator

    A mental calculator or human calculator is a person with a prodigious ability in some area of mental calculation (such as adding, subtracting, multiplying or dividing large numbers). In 2005, a group of researchers led by Michael W. O'Boyle, an American psychologist previously working in Australia and now at Texas Tech University , has used MRI ...

  5. Distributive property - Wikipedia

    en.wikipedia.org/wiki/Distributive_property

    To multiply a sum (or difference) by a factor, each summand (or minuend and subtrahend) is multiplied by this factor and the resulting products are added (or subtracted). If the operation outside the parentheses (in this case, the multiplication) is commutative, then left-distributivity implies right-distributivity and vice versa, and one talks ...

  6. Mental abacus - Wikipedia

    en.wikipedia.org/wiki/Mental_abacus

    Mental calculation is said to improve mental capability, increases speed of response, memory power, and concentration power. Many veteran and prolific abacus users in China, Japan, South Korea, and others who use the abacus daily, naturally tend to not use the abacus any more, but perform calculations by visualizing the abacus.

  7. Mental Calculation World Cup - Wikipedia

    en.wikipedia.org/wiki/Mental_Calculation_World_Cup

    The Mental Calculation World Cup 2008 was held at the University of Leipzig, Germany on 1 July 2008. It attracted 28 calculators from 12 countries. Adding ten 10-digit numbers, 10 tasks in 10 minutes Winner: Alberto Coto (Spain), 10 correct results in 4:26 minutes. world record; Multiplying two 8-digit numbers, 10 tasks in 15 minutes

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  9. Slide rule - Wikipedia

    en.wikipedia.org/wiki/Slide_rule

    With x=2 and y=3 for example, by positioning the top scale to start at the bottom scale's 2, the result of the multiplication 3×2=6 can then be read on the bottom scale under the top scale's 3: While the above example lies within one decade, users must mentally account for additional zeroes when dealing with multiple decades.