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Martin Gardner's missing digits

Posted on 2005-03-07
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Last Modified: 2008-03-03
Gwyn

Take a closer look at the # of digits in each line of the long-form solution.

When you decipher what duz is trying to type you get
(omitting the periods)

...........xxx8xx
.....__________
xxx.|.xxxxxxxx
..........xxx
..........----
...........xxxx
............xxx
.............---
.............xxxx
.............xxxx
..............----
.................0

Don't know how this will look but wanted to try..

Also my last answer should be it is the only result that is 8 digits long .(not 10)
Luz asked about a 7 in the quotient what would you do if their was an 8 in the quotient and 0 remainder
Can you help me out tried just adding 100 but it didn't come out, can you help me out.
the divisor is a xxx and the dividend is xxxxxxxx and 0 remainder, you guys are SUPER, tanks javier
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Question by:Jgb3146
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15 Comments
 
LVL 37

Expert Comment

by:Harisha M G
ID: 13481841
What do you want? I can't understand :( Is it related to any previous question??
0
 

Author Comment

by:Jgb3146
ID: 13482059
ee  Search Results 1 - 10 of about 3231 (0.027 seconds)  

 

Missing digits in long division        
I have posted a arithmetical restoration problem in the 'Puzzles and Riddles' section under the title 'Missing digits in long division' if anyone would like to have a go. - George  
Date: 03/07/2003
Topic Area: Math & Science  
Type: solution

 
Missing digits in long division        
I have been given this problem but do not have a solution. If you can please provide the answer with some clues as to how it was derived. Thank you - George Fill in the missing digits(x)in this lon...
Date: 03/07/2003
Topic Area: Puzzles & Riddles  
Type: solution
 This is the reference of question. Sorry!
0
 
LVL 37

Expert Comment

by:Harisha M G
ID: 13482104
What do you want ?? Why are you pasting EE search results ?
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Author Comment

by:Jgb3146
ID: 13482322
Answer to the Problem

...........xxx8xx
.....__________
xxx.|.xxxxxxxx
..........xxx
..........----
...........xxxx
............xxx
.............---
.............xxxx
.............xxxx
..............----
.................0
X's are where number's go.  Im also new to this site and not aware of pasting for ref..
0
 
LVL 84

Expert Comment

by:ozo
ID: 13482550
Shouldn't there be five subtraction lines to get a 5 digit quotient?
0
 
LVL 84

Expert Comment

by:ozo
ID: 13482676
If you're trying to represent The lonesome 8 problem in
http://www.mathematik.uni-bielefeld.de/~sillke/PUZZLES/ALPHAMETIC/
then the answer is
10020316/124=80809
0
 

Author Comment

by:Jgb3146
ID: 13483517
Thank you, Ozo you are correct.
0
 
LVL 6

Expert Comment

by:Talmash
ID: 13484509
ozo :
> Shouldn't there be five subtraction lines to get a 5 digit quotient?

not must,

1002-992 = 10 , and 100<124 therefor ZERO is automatically added to the quotient, and the subtruction is skipped,
this done 2 times => only 3 lines you see in the question.

jgb :

xxx = x1.x2.x3
xx8xx = x4.x5.8.x6.x7 , x5=x6 = 0
xxxxxxxx = abcdefgh

if you want to know how to solve this question without computer, start with the "8" :
the 2nd subtraction gives xxxx - xxx * 8 = xx, and in addition xx0 < xxx
=>
a) xxxx is 1xxx , and xxx is 9xx => a=1, x1=1
from here it is not copmicated at all to continuoue.
=> 1st and 2nd product are the same =>
3rd product is bigger (4 digits) => x7 > 8 => x7 = 9

from here every 6th class student can proceed alone.

tal

tal
0
 
LVL 84

Expert Comment

by:ozo
ID: 13484553
0
 

Author Comment

by:Jgb3146
ID: 13487016
Ozo,
 thanks you make it look so easy not sure
what it takes but this problem is worth 15
points toward our final, and Im trying to
become a teacher.  Math is just not that easy.
  thanks you people like you we can survive
in this world and beyond.  Javier
0
 
LVL 31

Expert Comment

by:GwynforWeb
ID: 13491497
Jgb3146,
...is this question addressed to me? I don't think we have met before , or have we? It looks like homework which should not be answered as per the site rules.

GwynforWeb
0
 

Author Comment

by:Jgb3146
ID: 13492620
Not aware the of rules, I had the answer, I just wanted
to have it verfied and make sure it was correct, it was THANKS...
0
 
LVL 31

Expert Comment

by:GwynforWeb
ID: 13493366
;-)
0
 

Author Comment

by:Jgb3146
ID: 13493620
I support your concern, that tells me this site
has high standard and staff with integrity, not seen
very often, thanks and love ya ...Javier
0
 
LVL 84

Accepted Solution

by:
ozo earned 2000 total points
ID: 13494643
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