The four 4's game. Put on your thinking caps.

Matt Grunau

Matt Grunau

Adobe Demigod
We used to have a contest when I was in middle school. The contest was to see who could get all integers from 1-20 using 4 combinations of 4 in the shortest time. The rules were you can use negative -4, and 4 and simple algebraic formulas you can use square root or to x power, to solve 0 - 20 answers. You cant use any other numbers, and you have to use all 4 fours.

Examples

0 (4-4)+(4-4) = 0 Or, (4%4)x4-4 = 0

1 (4-4)+(4%4) = 1

There are 3 numbers that a particularly difficult.

Let the game begin.

I gave 2 answers, but there are probably additional variations of each.


Yes, this is the kind of thing I do in my spare time.

Yes, I know what that makes me. :embarasse
 
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damm, my brain just went soft when you mentioned algebra, I hated school since first grade and math since before first grade.

pretty cool stuff though. :)
 
02) (4/4)+(4/4)=2
03) (4+4+4)/4=3
05) (4*4+4)/4=5
08) (4-4)+(4+4)=8
12) 4+4+4-4= 12
15) (4*4)-(4/4)=15
16) 4*4*4/4=16

...now back to the tennis game.

EDIT: Damn, this is waaaay too addictive.
 
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Seriously, is this possible? I'm working on one right now and I am pretty good at math (if it is true, I may not be as good as I thought!) and I can't get it.
 
I'm stuck too. that *&#@! 13 is killing me. I think we should incorporate square root, and root squared and root cubed.



EDIT: First post changed to include them. Let's squash this bastige.
 
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