Monday, December 21, 2009

How do you make the numbers 0 to 50 using four fours for each number?

For example -


4*4 - 4 + 4 = 16


Or..


4+4+4-4 = 8How do you make the numbers 0 to 50 using four fours for each number?
0 = 44-44


1 = 44/44 or (4+4)/(4+4) or (4/4) / (4/4)


2 = 4/4+4/4


3 = (4+4+4)/4


4 = 4*(4-4)+4


5 = (4*4+4)/4


6 = 4*.4+4.4


7 = 44/4-4


8 = 4+4.4-.4


9 = 4/4+4+4


10 = 44/4.4


11 = 4/.4+4/4


12 = (44+4)/4


13 = 4!-44/4


14 = 4*(4-.4)-.4


15 = 44/4+4


16 = .4*(44-4)


17 = 4/4+4*4


18 = 44*.4+.4


19 = 4!-4-4/4


20 = 4*(4/4+4)


21 = (4.4+4)/.4


22 = 44*sqrt(4)/4


23 = (4*4!-4)/4


24 = 4*4+4+4


25 = (4*4!+4)/4


26 = 4/.4+4*4


27 = 4-4/4+4!


28 = 44-4*4


29 = 4/.4/.4+4


30 = (4+4+4)/.4


31 = (4!+4)/4+4!


32 = 4*4+4*4


33 = (4-.4)/.4+4!


34 = 44-4/.4


35 = 44/4+4!


36 = 44-4-4


37 = (sqrt(4)+4!)/sqrt(4)+4!


38 = 44-4!/4


39 = (4*4-.4)/.4


40 = 44-sqrt(4*4)


41 = (sqrt(4)+4!)/.4-4!


42 = sqrt(4)+44-4


43 = 44-4/4


44 = 44.4-.4


45 = 4/4+44


46 = 44-sqrt(4)+4


47 = 4!+4!-4/4


48 = 4*(4+4+4)


49 = (4!-4.4)/.4


50 = 4!/4+44How do you make the numbers 0 to 50 using four fours for each number?
4 + 4 - 4 - 4 = 0


4 / 4 - 4 + 4 = 1


4 / 4 + 4 / 4 = 2


4 / sqrt(4) + 4 / 4 = 3


sqrt(4 + 4 + 4 + 4) = 4


sqrt(4) + sqrt(4) + 4 / 4 = 5


4 + sqrt(4) + 4 - 4 = 6


4 + sqrt(4) + 4 / 4 = 7


4 + 4 + 4 - 4 = 8


4 + 4 + 4 / 4 = 9


4 + 4 + sqrt(sqrt(4) + sqrt(4)) = 10


4 + (4! + 4) / 4 = 11


sqrt(4) + sqrt(4) + 4 + 4 = 12


4! - (4! - sqrt(4)) / sqrt(4) = 13


sqrt(4) + 4 + 4 + 4 = 14


(sqrt(4) + 4!) / sqrt(4) + sqrt(4) = 15


4 + 4 + 4 + 4 = 16


etc.





I've got you started, I think you can manage the rest.
You can use 4! =24, sqrt (4) =2, also .4 with a bar on top to =4/9


50 = 44 + 4 +sqrt (4)


Get the numbers around 44:


44 x (4/4) =44


44 + (4/4) =45


44 -(4/4) =43 etc.


Same thing with 4! =24


4! + 4 x (4/4) etc





44/44=1


(4/4) + (4/4) =2


(4 + 4 + 4) /4 =3


sqrt (4 x 4) x 4/4 =4


sqrt (4 x 4) + 4/4 =5 etc.

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