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The Magic Cafe Forum Index » » Puzzle me this... » » What a four's for. (0 Likes) Printer Friendly Version

The Mighty Fool
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1)I can take four 4's, and arrange them in various ways to make the numbers 0-9. For example, here's how I make a 0: 4+4-4-4=0. "That's easy!" You say?? allright then, let's see you do the equations for numbers 1-9!
Everybody wants to beleive.....we just help them along.
TomasB
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1=44/44
2=4/4+4/4
3=sqrt(4+4+4/4)
4=sqrt(4*4)+4-4
5=sqrt(4*4)+4/4
6=sqrt(4)+4+4-4
7=44/4-4
8=4+4+4-4
9=4+4+4/4

Or is it only legal to use +, -, * and /?

/Tomas
bvbernard
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In school, a math teacher challenged me to do this up to 120.
Took a while but I did it.
The Mighty Fool
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Thomas, I'm following you on all but #4, by your math, the answer would be 16.
Everybody wants to beleive.....we just help them along.
Wolflock
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No, He is correct. The Square Root of 4 x 4 will be 4 + 4 =8 - 4 equals 4.
Wolflock
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leonard
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Adding the use of a decimal, I find:

1 = 44/44
2 = 4/4 + 4/4
3 = (4 + 4 + 4)/4 = (4*4 – 4)/4
4 = (4 – 4) * 4 + 4
5 = ((4 - .4)/.4) - 4
6 = 4 + 4*.4 + .4 = (4 - 4*.4)/.4
7 = 44/4 – 4 = 4 + 4 - 4/4
8 = 4 + 4 + 4 – 4 = (4 - .4 - .4)/.4
9 = 4 + 4 + 4/4 = 4/.4 - 4/4
10 = 4/.4 + 4 – 4 = (44 - 4)/4 = 44/4.4
11 = 4/.4 + 4/4
12 = (44 + 4)/4
13 = ((4 - .4)/.4) + 4
14 = (4 + 4*.4)/.4
15 = 44/4 + 4 = 4*4 – 4/4
16 = 4 + 4 + 4 + 4
17 = 4*4 + 4/4
18 = 4/.4 + 4 + 4
19 = (4 + 4 - .4)/.4
20 = 4/.4 + 4/.4
21 = (4 + 4 + .4)/.4
TomasB
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VERY elegant Leonard.

/Tomas
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