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    Casting out nines - Wikipedia, the free encyclopedia

    https://en.wikipedia.org/wiki/Casting_out_nines
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    First, cross out all 9s and digits that total 9 in each factor (italicized). Add up leftover digits for each multiplicand until one digit is reached. Multiply the two excesses, and then add until one digit is reached. Do the same with the product, crossing out 9s and getting one digit.
    ‎Checking Math Using Remainders - ‎Why Use 9s? - ‎Modular Arithmetic

    Casting Out Nines to Check Arithmetic - Math Forum - Ask Dr. Math

    mathforum.org/library/drmath/view/55926.html
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    Aug 26, 1999 - 4 posts
    Casting Out Nines to Check Arithmetic. Date: 08/26/99 at 19:29:17 From: Jason Fowler Subject: Division, Multiplication, Subtraction, and Addition My teacher was talking about casting out 9's. ... Date: 03/23/2003 at 13:28:21 From: Sarah Dodge Subject: Casting out nines Dear Dr. Math, I ...
    Why Casting Out Nines Works
    4 posts
    13 Oct 2008
    Casting Out Nines
    2 posts
    25 Jun 2005
    When Casting Out Nines Fails
    2 posts
    29 Nov 2001
    Casting Out Nines and Elevens
    2 posts
    19 Sep 1997
    More results from mathforum.org

    How to check math multiplication - cast out nines trick ...

    Video for casting out 9▶ 6:20
    https://www.youtube.com/watch?v=RwvCAlo9j2c
    Nov 20, 2013 - Uploaded by tecmath
    Casting out nines is a fast and easy method of making sure your math ... 9:04. Digit Sums Casting Out Nines ...

    Casting Out Nines -- from Wolfram MathWorld

    mathworld.wolfram.com › ... › Arithmetic › Addition and Subtraction
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    "Casting out nines" is an elementary check of a multiplication which makes use of the congruence (mod 9). Let decimal numbers be written , , and their product be . Let the sums of the digits of these numbers be , , and . Then , , and .

    Casting Out Nines..the easiest way to check math computation

    www.themathlab.com/natural/.../casting%20nines/casting.htm
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    Sometime during the development of this condensation trick, someone, bless their soul, found out that adding 9, or any combination of digits which add to nine, ...

    Casting Out Nines: Why it Works - Site Home

    www.asiteaboutnothing.net/p_cast9.html
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    On the right, you have 7+2 = 9. You "cast out the nine", so you are also left with zero. Both sides are equal, so this test did not detect an error. This does not mean ...

    "Casting Out Nines"? Part 2 - Quick and Dirty Tips

    www.quickanddirtytips.com/education/.../what-is-casting-out-nines-part-...
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    Nov 17, 2011 - Learn more about using the “casting out nines” method to quickly and ... As you can calculate, the check digits of 63, 19, and 22 are 9, 1, and 4.

    What Is “Casting Out Nines”? Part 1 - Quick and Dirty Tips

    www.quickanddirtytips.com/.../math/what-is-“casting-out-nines”-part-1?...
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    Nov 11, 2011 - While these are both great techniques, today we're going to talk about something called “casting out nines” that in many ways is even better.

    Math Logic - Casting out nines - Calculator Edge

    www.calculatoredge.com/math/mathlogic/logicans18.htm
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    Casting out the nine is a method of checking answers to multiplication, addition ... further simplified by first discarding or casting away any digits whose sum is 9.

    elementary number theory - Prove "casting out nines" of an ...

    math.stackexchange.com/.../prove-casting-out-nines-of-an-integer-is-equ...
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    Jun 20, 2013 - Let s ( x ) be an abstraction for casting out nines of integer x . For all integers x , prove s ( x ) ≡ x mod 9. I'm not asking for an answer more of a ...

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