SOLUTION: When the multiplication 3 954 708 126 * 999 999 999 is performed, what is the only digit that does not appear in the product?

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Question 1189480: When the multiplication 3 954 708 126 * 999 999 999 is performed, what is the only digit that does not appear in the product?
Answer by ikleyn(52810)   (Show Source): You can put this solution on YOUR website!
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When the multiplication 3 954 708 126 * 999 999 999 is performed,
what is the only digit that does not appear in the product?
~~~~~~~~~~~~~~ 

The hidden meaning of this problem is THIS :



    +------------------------------------------------------------+
    |    how to find the product  3 954 708 126 * 999 999 999    |
    |                                                            |
    |    with the minimum effort  (and don't go crazy . . . ).   |
    +------------------------------------------------------------+



The answer is: take the number  3 954 708 126 000 000 000 and subtract the number  3 954 708 126  from it.


    3 954 708 126 000 000 000
 -              3 954 708 126
--------------------------------

    3 954 708 112 045 291 874    <<<---===  what you see in this line is the sough product (!)


Now, analyzing the digits in the difference, you easily get the ANSWER: the only digit

     which does not appear in the product is 6.

Solved.



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