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Math Help - No help, just curious

  1. #1
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    Philippines
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    No help, just curious

    I've been interested on this for a few days so I thought of looking for a name.

    What is the name of the branch of maths (if there is any) that deals with looking for shortcuts?
    For instance, (99)(68) = 6732, 67 being (68-1), 32 being (99-68)

    for the sake of mathematicality,
    it is:

    2Φ99 = 10(χ-1)+(99-χ)
    Let:
    χ be the multiplicand



    2Φ11 = 10(χ+ β)+ α
    Where:
    χ is the multiplicand
    α is the ones digit of the multiplicand
    β is the tens digit of the multiplicand


    and


    2Φ12= 10[χ+(2α + γ)] + δ
    Where:
    χ is the multiplicand
    α is the ones digit of the multiplicand
    γ is 1 if β≥5, 0 if β≤4
    δ is the last digit of 2α

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  2. #2
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    United States
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    Re: No help, just curious

    Good question ....
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