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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! .
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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The hidden meaning of this problem is THIS :
+------------------------------------------------------------+
| how to find the product 3 954 708 126 * 999 999 999 |
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| 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
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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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