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4's only

4's only

Posers and Puzzles

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how many numbers can be created using four 4's in combination with any mathematical symbol beginning with zero

example:

44-44=0
44/44=1
(4x4)/(4+4)=2
(4x4-4)/4=3
remember that you must use four 4's
next up the number 4

1 edit
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4+(4-4)/4 = 4
4 + (4/4)^4 = 5
(4 + 4)/4 + 4 = 6


Originally posted by lemondrop
how many numbers can be created using four 4's in combination with any mathematical symbol beginning with zero

example:

44-44=0
44/44=1
(4x4)/(4+4)=2
(4x4-4)/4=3
remember that you must use four 4's
next up the number 4
(4-4)*4+4=4

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44/4 - 4 = 7
4-4+4+4 = 8
4+4+4/4 = 9

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4+(4-4)/4=1 not 4
your equation for the number 5 is also incorrect

2 edits
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Originally posted by lemondrop
4+(4-4)/4=1 not 4
your equation for the number 5 is also incorrect
My math makes sense to me:
4+(4-4)/4 = 4
4 + 0/4 = 4
4 = 4


4 + (4/4)^4 = 5
4 + 1^4 = 5
4 + (1*1*1*1) = 5
4 + 1 = 5

Check your order of operations

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remember to use parenthesis or else your equation for number 9 is incorrect

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must use 4 fours

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square root, factorials, logarithms etc. may be used

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Originally posted by lemondrop
remember to use parenthesis or else your equation for number 9 is incorrect
I think you are mis-remembering the order of operations

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the number 13 is difficult

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my mistake forkedknight
can you do number 13?

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sqrt(4^4)*sqrt(4)+sqrt(4)=10
4+4+4-sqrt(4)=10
4*4-4-sqrt(4)=10

4*(4-4/4)=12


4*4-4/4=15
sqrt(4)*sqrt(4)*sqrt(4)*sqrt(4)=16

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now 13
can anyone come up with a formula for 13?

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to avoid any ambiguities the use of parenthesis may be required

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