If my little girl could get it that easy. Check this out. She utterly fails an Alabama History test. Two of her answers were the same one word answer; "because". [EMAIL PROTECTED] That makes me want to pull my hair out. Needless to say, she is in her room reading that entire chapter.
What to do..what to do......
Anyway....thanks for the answer Slef.
Joe
Thanksgiving Day is a jewel, to set in the hearts of honest men; but be careful that you do not take the day, and leave out the gratitude.
~E.P. Powell
----- Original Message ----- From: "Jeff Todd" <[EMAIL PROTECTED]>
To: "RollTideFan - University of Alabama Athletics Discussion List" <[EMAIL PROTECTED]>
Sent: Sunday, November 21, 2004 10:41 PM
Subject: Re: [RollTideFan] Non...but cool.
Every positive integer is a multiple of 9 plus the sum of its digits.
Here is why. Take 7843. That's equal to
7×1000 + 8×100 + 4×10 + 3 which equals
7×(999 + 1) + 8×(99 + 1) + 4×(9 + 1) + 3 which equals
7×999 + 7×1 + 8×99 + 8×1 + 4×9 + 4×1 + 3 which equals
7×999 + 7 + 8×99 + 8 + 4×9 + 4 + 3 which equals
(7×999 + 8×99 + 4×9) + (7 + 8 + 4 + 3) which equals
9(7×111 + 8×11 + 4) + (7 + 8 + 4 + 3) which equals
a multiple of 9 + the sum of the digits.
Now when the number is rearranged, that number too is a multiple of 9 plus the sum of its digits.
Since the sum of the digits is the same no matter how the digits are rearranged, when you subtract you get a multiple of 9 because the sum of the digits cancel and leave the difference of two multiples of 9, which is a multiple of 9.
Since the result must be a multiple of 9, the sum of its digits must also be a multiple of 9. Now you are given all the digits but one, so you add all the digits but one, and that missing digit must be just enough to add to the sum of the other digits to make a multiple of 9.
7843 = multiple of 9 + (7+8+4+3) 4387 = multiple of 9 + (4+7+8+3) --------------- subtract these 3456 = multiple of 9 - multiple of 9 + (7+8+4+3) - (4+7+8+3) =
a multiple of 9 + 0 =
a multiple of 9
That multiple of 9 is also a multiple of 9 plus the sum of its digits. Therefore the sum of its digits must also be a multiple of 9.
Suppose the person circles the 5 and gives you the three digits sqrambled as 4,6,3. You know the sum of the digits must be a multiple of 9. You add 4+6+3 and get 13. The next multiple of 9 is 18, so you know the circled digit must be 18-13 or 5
$1 to Google
Slef E.
----- Original Message ----- From: "Joe Goodson" <[EMAIL PROTECTED]>
To: "Roll Tide Fan" <[EMAIL PROTECTED]>
Sent: Sunday, November 21, 2004 10:06 PM
Subject: [RollTideFan] Non...but cool.
Can one of you math geeks tell me how this works? Joe
http://digicc.com/fido/
Success is to be measured not so much by the position one has reached in life, as by the obstacles which he has overcome while trying to succeed.
Booker T. Washington
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