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Math Help - Assistance on algebra word problem

  1. #1
    Junior Member
    Joined
    Feb 2013
    From
    Chicago
    Posts
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    Assistance on algebra word problem

    The following is a method for multiplying 21x23 that relies on repeatedly doubling numbers (by adding them to themselves):

    23
    +23
    ----- 21=16+4+1
    46 2
    +46
    -----
    92 4
    +92 368
    ----- 92
    184 8 + 23
    184 --------
    ----- 483
    386 16


    The answer, 483 to the multiplication problem 21*23, is shown on the bottom of the column on the right

    Notice that, to use this repeated doubling method, you have to be able to only add; you don't need to know how to multiply.

    A. Discuss and explain the method of repeated doubling. Address the following questions in your discussion:
    I.What is the significance of the column of the numbers 2,4,8,16?
    II.What is the significance of writing 21=16+4+1
    III.How are the numbers 368, 92, and 23 chosen for the column on the right. Why do we add those numbers?

    B.Use the method of repeated doubling to calculate 26*35. Show your work.

    C.Use the method of repeated doubling to calculate 37*51. Show your work.
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  2. #2
    Junior Member
    Joined
    Feb 2013
    From
    Chicago
    Posts
    25

    Re: Assistance on algebra word problem

    368
    92
    +23
    -----
    486

    I tried to move it some spaces over, but seem to got mixed with the problem
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