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## #1 2012-01-11 21:25:40

anna_gg
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### Make 1000 using 6 8's

Use number 8 6 times to make 1000.
You can only use +, -, *, /, square root and parenthesis ().
No factorials, 3rd root or any other numbers.

Thank you!!!

## #2 2012-01-11 23:52:13

bobbym

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### Re: Make 1000 using 6 8's

Hi anna_gg;

Welcome to the forum! Do you know whether this has an answer or not?

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## #3 2012-01-12 00:29:29

anna_gg
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### Re: Make 1000 using 6 8's

It does, but I don't know it! All my attempts end up in using 7 8's or more!

## #4 2012-01-12 00:39:19

bobbym

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### Re: Make 1000 using 6 8's

Yes, there are lots of solutions for 8 8's and perhaps for 7 8's also. But I have never seen one for 6 8's.

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## #5 2012-01-12 02:09:56

bob bundy
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### Re: Make 1000 using 6 8's

hi anna_gg and bobbym

I've got some 7 eights solutions.  But 6 is still eluding me.

Bob

The five weighings problem is getting very complicated.

I'm doing things like balance 2 unknowns against 1.

If they balance then they must be (10,20,30) or (10,30,40) or (10, 40,50) or (20,30,50)

If the two go down then (10,20,40) or (10,20,50) or (10,30,50)

If not then there's loads of possibilities eeekkk.

Depending on which, try other balance possibilities.

The total map of alternatives is very large!

OR

(Im)Balance any pair and call them v and w so that v<w

(Im)Balance another pair and call them x and y so that x < y.

Then try w against x.  Again lots of possibilities.

Cannot find a simple, elegant way to tackle this.

Last edited by bob bundy (2012-01-12 02:12:06)

You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

## #6 2012-01-12 06:08:44

bob bundy
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### Re: Make 1000 using 6 8's

hi anna_gg

Bob

Last edited by bob bundy (2012-01-12 06:11:21)

You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

## #7 2012-01-12 08:48:40

anna_gg
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### Re: Make 1000 using 6 8's

We are only allowed to use decimals in the form 8.8, not .8, as this assumes leading zeros
Otherwise, another like that would be 888/.888.

## #8 2012-01-13 01:12:48

bob bundy
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### Re: Make 1000 using 6 8's

hi anna_gg

Please would you post the exact wording in the original question.

I'm 'clutching at straws' now.

Bob

You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

## #9 2012-01-13 01:18:38

bobbym

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### Re: Make 1000 using 6 8's

Hi;

I have done a large computer search for some answer, also a search of the available literature for these type problems. I am coming up dry.

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## #10 2012-01-13 01:22:05

benice
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### Re: Make 1000 using 6 8's

1000 = 10^3

10 = 8 + sqrt( sqrt(8+8) )
3 = sqrt(8 + 8/8)

Last edited by benice (2012-01-13 01:22:58)

My Gallery of Math Art: benice equation

## #11 2012-01-13 01:28:18

bobbym

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### Re: Make 1000 using 6 8's

Hi;

Are exponents allowed? I thought they were not.

Hi Benice;

If they are then nice solution!

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## #12 2012-01-13 01:46:00

anna_gg
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### Re: Make 1000 using 6 8's

Awesome! Thanks!!!

## #13 2012-01-13 01:53:06

bob bundy
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### Re: Make 1000 using 6 8's

It is a nice solution.

But I thought you weren't allowing powers.

That's why I asked for the exact wording.

So is this question done now?

Bob

You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

## #14 2012-01-13 01:57:03

anna_gg
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### Re: Make 1000 using 6 8's

Not sure about powers; I must confirm this with the friend who gave me the problem.
Either way, I could not go that close myself!

## #15 2012-01-13 02:02:11

bobbym

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### Re: Make 1000 using 6 8's

Hi anna_gg;

If it does not include powers can you have your friend clearly state what is good and what is not?

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## #16 2012-01-13 07:20:55

anna_gg
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### Re: Make 1000 using 6 8's

Confirmed that powers are allowed!

## #17 2012-01-13 10:25:23

bobbym

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### Re: Make 1000 using 6 8's

Hi;

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## #18 2012-01-14 07:30:09

anna_gg
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### Re: Make 1000 using 6 8's

Thank you all for your help!!