Four Fours Game

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Re: Four Fours Game

Postby Tupence on Tue Sep 22, 2009 4:11 pm

45 = 44 + 4/4
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Re: Four Fours Game

Postby Mr. Squirrel on Tue Sep 22, 2009 5:20 pm

46 = 44 + (4/√4)
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Re: Four Fours Game

Postby AceArtemis on Tue Sep 22, 2009 11:29 pm

47= 4! + 4! - (4/4)
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Re: Four Fours Game

Postby gregwolf121 on Wed Sep 23, 2009 2:00 am

48=(4+4)*(4+(√4))
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Re: Four Fours Game

Postby theusual1 on Wed Sep 23, 2009 6:47 am

49= 4! + 4! + 4/4
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Re: Four Fours Game

Postby Megadeth666 on Wed Sep 23, 2009 7:21 am

50=44+4+√4
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Re: Four Fours Game

Postby pmchugh on Wed Sep 23, 2009 9:41 am

51= ((4!-√4)/.4)-4
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Re: Four Fours Game

Postby Tupence on Wed Sep 23, 2009 9:46 am

52 = 4! + 4! + √4 + √4
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Re: Four Fours Game

Postby pmchugh on Wed Sep 23, 2009 10:00 am

53=(4!*√4)+(√4/.4)
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Re: Four Fours Game

Postby theusual1 on Thu Sep 24, 2009 6:31 am

54= 4! + 4! + √4 + 4
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Re: Four Fours Game

Postby qwertylpc on Mon Oct 12, 2009 1:20 pm

55=(4^4-((4+√4)^2))/4

I don't know if that counts because im putting a 4 to the 4th power so is that another 4 and also im squaring it and that is represented with a 2 so is that illegal as well??


anyway

55=(4^4-((4+√4)^2))/4
55=(256-((4+2)^2))/4
55=(256-(6^2))/4
55=(256-36)/4
55=220/4
55=55
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Re: Four Fours Game

Postby sully800 on Wed Jan 20, 2010 7:33 pm

qwertylpc wrote:55=(4^4-((4+√4)^2))/4

I don't know if that counts because im putting a 4 to the 4th power so is that another 4 and also im squaring it and that is represented with a 2 so is that illegal as well??


anyway

55=(4^4-((4+√4)^2))/4
55=(256-((4+2)^2))/4
55=(256-(6^2))/4
55=(256-36)/4
55=220/4
55=55


That definitely does not work, for both reasons you mentioned.

This was a really hard one! I had to use the ceiling notation that jonesthecurl was looking for earlier, and even with that it took some creativity. The ceiling function means round up to the nearest whole number. If the symbol was upside down it would be a floor function and it would mean round down. Too bad I don't know how to type it outside of the equation editor...

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Re: Four Fours Game

Postby Beckytheblondie on Thu Jan 21, 2010 2:27 pm

55= (4!-(4-√4))/.4

The next one is really easy. And if you do a long formula to get it, you'll smack your head when you see how easy it is!
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Re: Four Fours Game

Postby Beckytheblondie on Thu Jan 21, 2010 2:34 pm

Can we use repetends?
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Re: Four Fours Game

Postby sully800 on Thu Jan 21, 2010 6:10 pm

Beckytheblondie wrote:55= (4!-(4-√4))/.4

The next one is really easy. And if you do a long formula to get it, you'll smack your head when you see how easy it is!


Nice 55 Becky! Of course I got it in the post above yours, but your solution is good too :P

As for repetends, the only one you could use would be 0.444... since it can be written as .4... (anything else would require multiple 4's, which is allowed but probably not helpful at this point)

56 = 4! + 4!+ 4 + 4
56 = 24 + 24 + 8
56 = 56

Of course there are tons of ways to get to 56.
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Re: Four Fours Game

Postby Beckytheblondie on Fri Jan 22, 2010 11:09 am

sully800 wrote:As for repetends, the only one you could use would be 0.444... since it can be written as .4... (anything else would require multiple 4's, which is allowed but probably not helpful at this point)

Repetends will be very useful in getting a 4 to equal a 9 BUT .4bar is equal to .44bar which is also equal to .444bar, so, where is the line drawn (except for, obviously, above the fours (that's a little math joke))?

57= (4!*√4)+ (4/.4bar)

where .4bar= .44444444444444444444444444444444444444444444444444444 but is written only as .4 with a line above it.
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Re: Four Fours Game

Postby sully800 on Fri Jan 22, 2010 12:48 pm

Oh, sorry for the confusion. I agree with you that it will be useful (I was thinking the same thing) and all of those examples would be equivalent. The thing that wouldn't be very helpful is 4.4.... or 44.4.... since you end up using more of your digits straight away. :P

58 = (4!/.4)-4+√4
58 = (24/.4)-4+2
58 = 60-2
58 = 58
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Re: Four Fours Game

Postby qwertylpc on Thu Jan 28, 2010 5:14 pm

59=(4!/.4)-(4/4)
59=(24/.4)-(1)
59=60-1
59=59 :D
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Re: Four Fours Game

Postby Beckytheblondie on Thu Jan 28, 2010 5:16 pm

qwertylpc wrote:59=(4!/.4)-(4/4)
59=(24/.4)-(1)
59=60-1
59=59 :D

Well that helps me easily get the next one:

60=(4!/.4)+4-4
60=(24/.4)+4-4
60=60+0
60=60 :D

That was easy.
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Re: Four Fours Game

Postby sully800 on Sat Jan 30, 2010 11:07 pm

We have a bunch of easy ones now since we can do 60 so well. How high can we go?

61=(4!/.4)+4/4
61=(24/.4)+1
61=60+1
61=61
Last edited by sully800 on Mon Feb 01, 2010 1:33 am, edited 1 time in total.
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Re: Four Fours Game

Postby The Neon Peon on Sun Jan 31, 2010 7:21 pm

I have to say, I love this thread for showing me this game. A friend and I found the solutions up through 200, plus a few numbers such as 2010. It was a wonderful way to spend hours in a really easy class.

62 = √(√(√(4^4!))) - 4/√4

(used a weird way to do it because it will be SO helpful later on to you).
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