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BTaylor
 3 years ago
Arrange these seven numbers and eight dots ( > . )
.4.5.6.7.8.9.0.
so they add up to eighty two.
BTaylor
 3 years ago
Arrange these seven numbers and eight dots ( > . ) .4.5.6.7.8.9.0. so they add up to eighty two.

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BTaylor
 3 years ago
Best ResponseYou've already chosen the best response.0can you help with this? @Calcmathlete @agentx5

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Are the dots representing comma separated values (i.e. a sequence), decimal points, or \(\large \cdot\) for multiplication?

BTaylor
 3 years ago
Best ResponseYou've already chosen the best response.0they can be any dot in math operations. decimals, multiplication, repeating numbers, anything else?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Oh... so we can choose the operand we want? :3 I would recommend starting with the prime factorization of 82 in that case, can you do this step? :)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Yep, and right away we can see that's only going to help us so far because 41 is prime. So now for the listing of addition/subtraction options using our "factors" from the list 8*9 = 72 7*9 = 63 etc... We can see that won't be good either because brute force method here is going to be 823543 possible combos... Yeah no. Ok for computers, not good for neuron cells. So getting creative... I'm going to try to minimize each product, and because of symmetry they're all going to be even (which we'll need for 82): 4*9 = 36 5*8 = 40 6*7 = 42 Hmm so 5*8 + 6*7 = 82 But did we have to use all of these?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0If so, it will get even more complicated because you'll be needing to use subtraction as well, or you will break 82 (think of a game of BlackJack, aka. 21, if you need a parallel as to why)

BTaylor
 3 years ago
Best ResponseYou've already chosen the best response.0OK. I googled the question. It turns out that it is an old problem. http://www.mathsisfun.com/puzzles/ourcolumbusproblem.html I would've never gotten that!

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Critical needtoknow information I was missing in the question: "The dot over a number signifies that it is a repeater which would go on for ever" >_< Tough puzzle though!
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