All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Numbers
Millenium problem (Posted on 2006-08-21) Difficulty: 1 of 5
Write the number 1000 as an arithmetic expression, i.e. using only digits and the symbols
+ - * /
such that exactly nine 9's and no other digits show up.

  Submitted by JLo    
Rating: 3.3333 (3 votes)
Solution: (Hide)
Many nice solutions can be found in the thread. I was really surprised by the number of creative constructions. Here my favorites:

brianjn (+15): I award brianjn plus 15 points for the funniest "solution"

Larry (+10) For the first correct solution: 1000=9*99 + 99 + 9 + 99/99

Penny (+10) For being first to find my original solution (I really had only one solution in mind...): 1000=999 + 999/999

Frederico (+5) For addressing the general problem of n nine's with 7<=n<=9 and the use of brackets.

Gamer (+5) For finding another one: 1000=9999/9 - 999/9

Dej Mar (+20) For the most comprehensive solution:
9999/9 - 999/9
999 + 999/999
999 + 99/99 * 9/9
999 + 9/9 * 99/99
999 + 9/9 * 9/9 * 9/9
999 + 99/99 + 9 - 9
999 + 9/9 + 9/9 - 9/9
999 + 9/9 + 99 - 99
999 + 9/9 + 9*9 - 9*9
999 + 9/9 + 9*9/9 - 9
999 + 9/9 - 9*9/9 + 9
999 + 9/9 + 9/9*9 - 9
999 + 9/9 - 9/9*9 + 9
999 + 99^9 / 99^9
999 + 9^99 / 9^99
999 + 9^9 / 9^9 * 9/9
999 + 9^9 / 9^9 + 9 - 9
999 + 9^99 * 99^-9
999 + 9^99 * 9^-99
999 + 9^9 * 9^-9 * 9/9
999 + 9^9 * 9^-9 + 9 - 9
999 + 9^9^9 / 9^9^9

Richard (+5): For a valuable speling leson, although I fear I'm a lost case.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Some ThoughtsTwo possible expressionsK Sengupta2022-04-29 23:05:47
my solutionjoshua2006-08-24 10:21:01
re(3): -10 for grammarGamer2006-08-23 22:40:33
re(2): -10 for grammarRichard2006-08-23 14:39:35
re: -10 for grammarCharlie2006-08-23 14:15:39
-10 for grammarDej Mar2006-08-22 23:55:02
-10 for spellingRichard2006-08-22 21:38:50
Dirty trickOld Original Oskar!2006-08-22 14:40:20
My solutionAlexis2006-08-22 01:05:16
Solutiona number of solutionsDej Mar2006-08-21 21:30:22
SolutionAnother SolutionGamer2006-08-21 14:25:13
SolutionSome left overFederico Kereki2006-08-21 09:21:07
SolutionPenny2006-08-21 08:49:26
SolutionHere's oneLarry2006-08-21 08:22:52
Not your given resultbrianjn2006-08-21 08:04:20
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (11)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information