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does anyone know the answer to the 4 4's please?
Is that where you use four 4s and any operations to get the numbers from 0 to 100, like this
44-44 = 0
44/44 = 1
(4×4)/(4+4) = 2
(4+4+4)/4 = 3
...
Is that the one?
"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman
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I know this probably isn't a problem anymore as the question was asked just over 2 weeks ago, but just for reference...
Last edited by Devanté (2006-08-07 19:55:27)
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IT CAN'T BE HAPPENING!!!
X'(y-Xβ)=0
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Did I make a mistake?
Ah yes, forgot the 0...
Last edited by Devanté (2006-07-15 03:20:56)
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What, pray tell, is ~4?
"In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..."
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Dunno, I copied and pasted most of it from some site somewhere. Maybe they are talking about some other symbol?
EDIT: Some of it doesn't even make sense. Don't know why I didn't check it before. I'll find some other source.
EDIT 2: Never mind, answer here: http://mathforum.org/ruth/four4s.puzzle.html
Last edited by Devanté (2006-07-15 04:15:12)
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I always wondered if the 4 4s puzzle could be done with negative numbers - Say, from 0 to -100? Or from 0 to 1000?
Nobody has tried yet, so I guess it's worth giving it a try.
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I made a program long ago for finding all possible results from the form a_b_c_d with brackets.
I can use it to fid all possibilities for the 4-4.
But it will take some time to modernise.
Last edited by krassi_holmz (2006-09-09 06:41:57)
IPBLE: Increasing Performance By Lowering Expectations.
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It's too late now. I'll try tommorow.
IPBLE: Increasing Performance By Lowering Expectations.
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Remember krassi, that you can use weird operators such as ! or % or even composition of numbers.
"In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..."
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I wonder if exponents are allowed...if they were, it would be pretty easy to solve the 4 4s problem. You could easily get close to a number and then use 4^0 to get your number dead-on.
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Devante, exponents are allowed. However, 0 isn't. And you have to use 4 and only 4 4's.
"In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..."
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There are infinite number of numbers that can be made witn 4 4s.
Prove this!
And it's easy to handle all the negatihe numbers to -100, if you use the fact:
-(a)=-a!!!
Now devz, do you understand why people search only positive solutions?
IPBLE: Increasing Performance By Lowering Expectations.
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Hmm...never thought about it that way. I stand corrected.
Oh, and thanks for the info, Ricky.
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krassi, too easy. There are an infinite number of possible unary and binary operators that can be defined (even if they haven't). Thus, there are an infinity ways of combining 4 4's.
"In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..."
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