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Closest to pi (Posted on 2005-09-25) Difficulty: 2 of 5
As you know, the value of pi with some decimals is 3.141592653589...

Write an expression using all digits (0-9) once each, to achieve the closest value to pi. The digits must be in the order 1, 2, 3, 4, ...8, 9, 0. You may also use as many parentheses, +, -, /, and *, as you wish, but only these symbols.

As an example: 123/45 - 6/7 + 8/9 + 0 = 2.765079... gives a difference of approximately 0.376.

You may post the difference or the approximation you achieve in the subject of your comment.

  Submitted by pcbouhid    
Rating: 3.0000 (4 votes)
Solution: (Hide)
My guess was:

(1 - 23 + 45 x 67) / 890 = 3.3629...

which gives a difference from pi of 0.2213, aproximately.

However, Charlie found 1/(234+56-7)*890 = 3.1448 that is the best achieved (see his comment in 2005-09-29). Some users ignored my comment about my mistake (at most, only one symbol of each).

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re(2): this one beats them all : less than 10^-9Ady TZIDON2005-09-29 03:12:59
Some Thoughtsre: this one beats them all : less than 10^-9Federico Kereki2005-09-28 19:54:27
re(2): this one beats them all : less than 10^-9Ady TZIDON2005-09-28 18:38:20
YOU ARE IGNORING MY CORRECTION IN "MY MISTAKE"?pcbouhid2005-09-28 16:49:50
re(2): My DOUBLE mistake!pcbouhid2005-09-28 16:46:06
re: this one beats them all : less than 10^-9Charlie2005-09-28 15:47:22
Hints/Tipsre: My best, by handAdy TZIDON2005-09-28 13:52:03
Questionre: this one beats them all : less than 10^-9Ady TZIDON2005-09-28 13:39:22
Solutionthis one beats them all : less than 10^-9Ady TZIDON2005-09-28 13:26:47
Another approximationBrian Smith2005-09-28 02:53:29
Some Thoughtsre: My DOUBLE mistake!e.g.2005-09-27 16:59:41
Solutionre: My mistake! -- diff. 0.0032837 (from modified computer program)Charlie2005-09-26 18:19:29
To all : Read My comment "MY MISTAKE!"pcbouhid2005-09-26 17:54:47
SolutionMy best, by handFederico Kereki2005-09-26 17:40:56
My mistake!pcbouhid2005-09-26 16:43:19
Solution.00000026676419 -- computer solutionCharlie2005-09-26 00:14:36
re(2): My best so far ???????????Kiriai2005-09-26 00:13:35
re: My best so far ???????????Ady TZIDON2005-09-25 21:32:04
2.70354E-07 -not in orderAdy TZIDON2005-09-25 21:31:02
My best so farKiriai2005-09-25 21:15:30
The classic 22/7 =piAdy TZIDON2005-09-25 21:06:13
.0013Ady TZIDON2005-09-25 20:40:22
Solutiondiff:. 01013Ady TZIDON2005-09-25 20:26:05
diff = -0.00126WryTangle2005-09-25 19:50:52
First try at it.... diff=0.01687WryTangle2005-09-25 19:41:34
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