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i need help with my homework.......useing only four ,fours ....the answers must only go from 1-100 is the answers i need 100 of them? plezz help me out!!!!

EXAMPLE= 4+4-4+4=8 {u can only use four fours and who ever gives me the most answers i will give u the best answer!

2007-04-15 12:04:18 · 2 answers · asked by samantha_johnson2000 2 in Science & Mathematics Mathematics

2 answers

Yet another asking of the classic "Four fours" problem...
4/4 * 4/4 = 1
√4 or 4/4 + 4/4 = 2
4 - 4/4 or (4+4+4)/4 = 3
4 or 4+4*(4-4) = 4
4 + √4 or 4*.4+4.4 (clever) =6
44/4 - 4 = 7
4 + 4 + (4-4) =8
4 + 4 + 4/4 = 9
44/4.4 = 10
44/4 = 11
...
4*4 -√4 =14
4*4 - 4/4 = 15
4*4 =16
4*4 + 4/4 = 17
4*4 +√4 =18
...
4*4*√4 = 32
...
4*4*4 = 64
...
44/.44 = 100

The guy below lists solutions from 0..40,000
http://www.dwheeler.com/fourfours/

"here's a quick summary of the ``impurity'' levels. The ``zeroth'' level allows addition (+), subtraction/negation (-), multiplication (*), division (/), square root (sqrt), factorial (!), and power (^). Parentheses may be used for grouping. The digit 4 must be used exactly four times, and the decimal digit (.) can be used. The higher impurity levels are:

2: The overline, an infinitely repeated digit (shown as ~ in ASCII text).
3: An arbitrary root power.
4: The gamma function; gamma(x) = (x-1)!.
5: %.
6: The square function.
7: logical-or, exclusive-or, and logical-and.
8: logical left shift and right shift.
I always choose the solution with the smallest impurity, then the fewest number of operations with that impurity."

0 (0) = 44-44
1 (0) = 44/44
2 (0) = 4/4+4/4
3 (0) = (4+4+4)/4
4 (0) = 4*(4-4)+4
5 (0) = (4*4+4)/4
6 (0) = 4*.4+4.4
7 (0) = 44/4-4
8 (0) = 4+4.4-.4
9 (0) = 4/4+4+4
10 (0) = 44/4.4
11 (0) = 4/.4+4/4
12 (0) = (44+4)/4
13 (0) = 4!-44/4
14 (0) = 4*(4-.4)-.4
15 (0) = 44/4+4
16 (0) = .4*(44-4)
17 (0) = 4/4+4*4
18 (0) = 44*.4+.4
19 (0) = 4!-4-4/4
20 (0) = 4*(4/4+4)
21 (0) = (4.4+4)/.4
22 (0) = 44*sqrt(4)/4
23 (0) = (4*4!-4)/4
24 (0) = 4*4+4+4
25 (0) = (4*4!+4)/4
26 (0) = 4/.4+4*4
27 (0) = 4-4/4+4!
28 (0) = 44-4*4
29 (0) = 4/.4/.4+4
30 (0) = (4+4+4)/.4
31 (0) = (4!+4)/4+4!
32 (0) = 4*4+4*4
33 (0) = (4-.4)/.4+4!
34 (0) = 44-4/.4
35 (0) = 44/4+4!
36 (0) = 44-4-4
37 (0) = (sqrt(4)+4!)/sqrt(4)+4!
38 (0) = 44-4!/4
39 (0) = (4*4-.4)/.4
40 (0) = 44-sqrt(4*4)
41 (0) = (sqrt(4)+4!)/.4-4!
42 (0) = sqrt(4)+44-4
43 (0) = 44-4/4
44 (0) = 44.4-.4
45 (0) = 4/4+44
46 (0) = 44-sqrt(4)+4
47 (0) = 4!+4!-4/4
48 (0) = 4*(4+4+4)
49 (0) = (4!-4.4)/.4
50 (0) = 4!/4+44
51 (0) = (4!-sqrt(4))/.4-4
52 (0) = 4+4+44
53 (0) = sqrt(4)/.4+4!+4!
54 (0) = 4/.4+44
55 (0) = 44/(.4+.4)
56 (0) = 4*(4/.4+4)
57 (0) = (4!-.4)/.4-sqrt(4)
58 (0) = (4^4-4!)/4
59 (0) = 4!/.4-4/4
60 (0) = 4*4+44
61 (0) = 4!/.4+4/4
62 (0) = (.4+.4+4!)/.4
63 (0) = (4^4-4)/4
64 (0) = 4!-4+44
65 (0) = (4^4+4)/4
66 (0) = (4!+4)/.4-4
67 (0) = (sqrt(4)+4!)/.4+sqrt(4)
68 (0) = 4*4*4+4
69 (0) = (4-.4+4!)/.4
70 (0) = 4!/.4+4/.4
71 (0) = (4!+4.4)/.4
72 (0) = 4!+44+4
73 (2) = sqrt(sqrt(sqrt(4)^4!))+4/.4~
74 (0) = (4!+4)/.4+4
75 (0) = 4!/(.4+.4)/.4
76 (0) = 4!/.4+4*4
77 (2) = sqrt(4/.4~)^4-4
78 (0) = 4*(4!-4)-sqrt(4)
79 (0) = (4!-sqrt(4))/.4+4!
80 (0) = 4*(4*4+4)
81 (0) = (4/4-4)^4
82 (0) = 4*(4!-4)+sqrt(4)
83 (0) = (4!-.4)/.4+4!
84 (0) = 44*sqrt(4)-4
85 (0) = (4/.4+4!)/.4
86 (0) = 44/.4-4!
87 (2) = 4*4!-4/.4~
88 (0) = 44+44
89 (0) = (sqrt(4)+4!)/.4+4!
90 (0) = 44*sqrt(4)+sqrt(4)
91 (0) = 4*4!-sqrt(4)/.4
92 (0) = 44*sqrt(4)+4
93 (2) = 4*4!-sqrt(4/.4~)
94 (0) = 4*(4!-.4)-.4
95 (0) = 4*4!-4/4
96 (0) = 4*(4.4-.4)!
97 (0) = 4*4!+4/4
98 (0) = 4*(4!+.4)+.4
99 (2) = 44/sqrt(.4~*.4~)
100 (0) = 44/.44

2007-04-15 12:13:47 · answer #1 · answered by smci 7 · 1 1

Exactly four 4s, or not more than four 4s?

1 = 4/4 + (4-4) = (4!*4!)/(4!*4!) = 44/44 = (4*4)/(4*4) = 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 = 4 + 4 - 4/4
8 = 4+4+4-4 = (4+4)(4/4)
9 = 4+4 + 4/4
10 = 4!/4 + 4
11 = 44/4
12 = 4!*4/(4+4)

2007-04-15 19:22:02 · answer #2 · answered by Steve A 7 · 0 0

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