# 4's only

lemondrop
Posers and Puzzles 20 Jun '14 05:16
1. lemondrop
pawn grabber
20 Jun '14 05:16
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
2. forkedknight
Defend the Universe
20 Jun '14 05:211 edit
4+(4-4)/4 = 4
4 + (4/4)^4 = 5
(4 + 4)/4 + 4 = 6
3. Ponderable
chemist
20 Jun '14 05:21
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
4. forkedknight
Defend the Universe
20 Jun '14 05:252 edits
44/4 - 4 = 7
4-4+4+4 = 8
4+4+4/4 = 9
5. lemondrop
pawn grabber
20 Jun '14 05:381 edit
4+(4-4)/4=1 not 4
your equation for the number 5 is also incorrect
6. forkedknight
Defend the Universe
20 Jun '14 05:402 edits
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

7. lemondrop
pawn grabber
20 Jun '14 05:42
remember to use parenthesis or else your equation for number 9 is incorrect
8. lemondrop
pawn grabber
20 Jun '14 05:43
must use 4 fours
9. lemondrop
pawn grabber
20 Jun '14 05:49
square root, factorials, logarithms etc. may be used
10. forkedknight
Defend the Universe
20 Jun '14 05:50
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
11. lemondrop
pawn grabber
20 Jun '14 07:38
the number 13 is difficult
12. lemondrop
pawn grabber
20 Jun '14 07:392 edits
my mistake forkedknight
can you do number 13?
13. Ponderable
chemist
20 Jun '14 12:592 edits
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
14. lemondrop
pawn grabber
20 Jun '14 14:21
now 13
can anyone come up with a formula for 13?
15. lemondrop
pawn grabber
20 Jun '14 14:29
to avoid any ambiguities the use of parenthesis may be required