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Member Forums => Yoni's Math Forum => Topic started by: Noodlez on April 06, 2004, 09:46 PM

Title: how good are you?
Post by: Noodlez on April 06, 2004, 09:46 PM
How many integers can you make using any number of arithmetic operations and four 4s? Keep going as long as you can.
     ie: 1 = (4/4) + (4-4) ; 2 = (4/4) + (4/4), ...
Title: Re:how good are you?
Post by: j0k3r on April 06, 2004, 10:10 PM
300 = (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4) + (4/4)
Title: Re:how good are you?
Post by: Noodlez on April 06, 2004, 10:38 PM
Too many 4s.
Title: Re:how good are you?
Post by: Yoni on April 07, 2004, 04:39 AM
300 = 4^4 + 44

Made a few others but they got deleted by accident
Title: Re:how good are you?
Post by: iago on April 07, 2004, 11:02 AM
4 + 4 - 4 + 4 = 0
4 - 4 + 4 - 4 = 0

w00t!
Title: Re:how good are you?
Post by: synth on April 07, 2004, 12:31 PM
Quote from: iago on April 07, 2004, 11:02 AM
4 + 4 - 4 + 4 = 0

That looks like 8, chief.  ;D
+4 +4 -4 +4 = 8.
Title: Re:how good are you?
Post by: iago on April 07, 2004, 01:02 PM
Quote from: synth on April 07, 2004, 12:31 PM
Quote from: iago on April 07, 2004, 11:02 AM
4 + 4 - 4 + 4 = 0

That looks like 8, chief.  ;D
+4 +4 -4 +4 = 8.

lol, you're right.  I was mentally inserting brackets:
(4 + 4) - (4 + 4)
Which IS 0 :P
Title: Re:how good are you?
Post by: Adron on April 07, 2004, 01:47 PM
And now, note that you can write
4+4+4+4!, 4+4+4+4!!, 4+4+4+4!!!, and then stop and think about how many integers you can make using four 4's and any number of arithmetic operations.
Title: Re:how good are you?
Post by: iago on April 07, 2004, 05:47 PM
Quote from: Adron on April 07, 2004, 01:47 PM
And now, note that you can write
4+4+4+4!, 4+4+4+4!!, 4+4+4+4!!!, and then stop and think about how many integers you can make using four 4's and any number of arithmetic operations.

Good one :)
Title: Re:how good are you?
Post by: UserLoser. on April 09, 2004, 08:09 PM
We did some game last year in my Geometry class where there were two teams.  The first team to get 100 equations (where the first one results in 1, second = 2, and so on..) using like either 2 or 4 arithmetic operations and the same numbers, won... I forgot exactly, but I know my team lost :(
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