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4 challenge

Started by ARTgames, September 09, 2009, 01:15:36 AM

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ARTgames

some one a long time ago had a topic that was something like you could get ever number from 1 to 100 using 4 in some way. does any one here still rmb the rules?

DragonReaper

I did it at school once in maths, you have to get every number from 1-100 using 4 four's and maths symbols
eg, 52= 44+4+4

Trogdor

I've never heard of this game before. At first I thought it would be impossible, as you're only working with an even number, 4, and eliminates the possibilities of odd numbers. I thought about it for some time, and then realized 4/4 = 1, which gives you an odd number to work with, thus making it quite simple. I'm sure there would be some limitation on the amount or type of math symbols you could use, otherwise it would be a simple matter of 1+1+4+1 etc.

I'm only up to College Algebra, so there might be more ways to solve this.  ;)
If you give a man a fire, he'll be warm for a day.
If you light a man on fire, he'll be warm for the rest of his life.

flashmaniac

I'm pretty sure there's another variation of this but it's with your year of birth. For example: 1994. I'm not sure if it works with all years but I have seen it done.

Red October

My attempt (all checked with google):

1) (4/4)*(4/4)
2) 4/(4+4)*4
3) -4/4^2*4+4
4) (sqrt 4^3)/4*4-4
5) 4*4/4^2+4
6) (sqrt 4)/4*4+4
7) -4/4+4+4
8.) 4*4-4-4
9) 4*(sqrt 4)+4/4
10) (sqrt 4)+4^2-4-4
11) -4/4+4^2-4
12) (sqrt 4^3)/4*4+4
13) 4/4+4^2-4
14) -(sqrt 4)+4^2+4-4
15) 4*4-4/4
16) 4*4-4+4
17) 4/4+4*4
18) (sqrt 4)+4^2+4-4
19) -4/4+4^2+4
20) (4/(sqrt 4))^2+4*4
21) 4/4+4^2+4
22) -(sqrt 4)+4^2+4+4

24) 4^2+4^2-4-4

26) (sqrt 4)+4^2+4+4

28) (sqrt 4^3)*4^2/4-4

30) (sqrt 4)-4+4^2+4^2
31) -4/4+4^2+4^2
32) 4^2+4^2-4+4

36) 4^2+4^2+4^2/4

40) 4^2+4^2+4+4

44) 4^2+4^2+4^2-4

52) 4^2+4^2+4^2+4

54) -(sqrt 4)+4^3-4-4

56) -4^2/4+4^3-4

59) -4/4+4^3-4
60) (sqrt 4^4)*4^2/4-4
61) 4/4+4^3-4
62) -(sqrt 4)+4^3+4-4
63) -4/4+4*4^2
64) 4*4/4*4^2

66) (sqrt 4)+4^3+4-4
67) -4/4+4^3+4
68) 4^5/4/4+4
69) 4/4+4^3+4
70) -(sqrt 4)+4^3+4+4

72) 4^3+4^2-4-4

78) (sqrt 4)-4+4^2+4^3

80) 4^3+4^2-4+4

84) (sqrt 4^7)-4^3+4^2+4

88) 4^3+4^2+4+4

92) (sqrt 4^7)-4^2-4^2-4

96) (sqrt 4^7)-4^3+4^2+4^2

100) (sqrt 4^7)-4^2-4^2+4

I got bored at this time.

yottabyte

Quote from: Red October on October 13, 2009, 06:09:40 AM
My attempt (all checked with google):

numbers

I got bored at this time.

Wait, what? ???


I partly quit SO. I only come online for updates and events. Have a good day. :)

Mr Pwnage

Quote from: yottabyte on October 13, 2009, 08:17:06 AM
Quote from: Red October on October 13, 2009, 06:09:40 AM
My attempt (all checked with google):

numbers

I got bored at this time.

Wait, what? ???
For lack of better words, he just raped this topic. Nice work though...hah O_O.
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ARTgames

#7
@Red October
you use other #'s than 4's. Can you do that? I think you cant. because if you could all you wold half to do is.

1) (4+4)-(4+4)+1
2) (4+4)-(4+4)+2
3) (4+4)-(4+4)+3
4) 4+(4+4+4)*0
5) (4+4)-(4+4)+5
6) (4+4)-(4+4)+6
.... ect

I think you can only use four 4s.

edit:
http://mathforum.org/ruth/four4s.puzzle.html

Torch

Quote from: ARTgames on October 13, 2009, 07:26:15 PM
@Red October
you use other #'s than 4's. Can you do that? I think you cant. because if you could all you wold half to do is.

1) (4+4)-(4+4)+1
2) (4+4)-(4+4)+2
3) (4+4)-(4+4)+3
4) 4+(4+4+4)*0
5) (4+4)-(4+4)+5
6) (4+4)-(4+4)+6
.... ect

I think you can only use four 4s.

edit:
http://mathforum.org/ruth/four4s.puzzle.html
He's using exponent numbers other than 4. 4^3 is the same as saying 4*4*4. It saves space to use exponents, but isn't necessary.

ARTgames

ok so i can use 4*3 because all that is is 4+4+4 >_<......


Using four 4's and any operations, try to write equations that have the numbers from 0 to 100 as the answer.


4^2+4^2+4+4 is not Using four 4's. Its using 4 4s and a 2. Its what makes it harder.

non the less the website i posted answer what i needed from this topic.

yottabyte

I learn more here than I do in math class. lol


I partly quit SO. I only come online for updates and events. Have a good day. :)

Red October

Quote from: ARTgames on October 13, 2009, 10:14:10 PM
4^2+4^2+4+4 is not Using four 4's. Its using 4 4s and a 2. Its what makes it harder.

The ^2 simply means to the power of two. So in this case; 4 * 4 + 4 * 4 + 4 + 4 (so in fact I'm using 6 4's).

I was tryping to do this while not using he number 44. Here is another one I could of done for 1)

tan(4/4+44)
= tan(45)
= 1.

:)

NotoriousM4^

Quote from: Red October on October 14, 2009, 04:57:02 PM
Quote from: ARTgames on October 13, 2009, 10:14:10 PM
4^2+4^2+4+4 is not Using four 4's. Its using 4 4s and a 2. Its what makes it harder.

The ^2 simply means to the power of two. So in this case; 4 * 4 + 4 * 4 + 4 + 4 (so in fact I'm using 6 4's).

I was tryping to do this while not using he number 44. Here is another one I could of done for 1)

tan(4/4+44)
= tan(45)
= 1.

:)

Torch

Quote from: Red October on October 14, 2009, 04:57:02 PM
Quote from: ARTgames on October 13, 2009, 10:14:10 PM
4^2+4^2+4+4 is not Using four 4's. Its using 4 4s and a 2. Its what makes it harder.

The ^2 simply means to the power of two. So in this case; 4 * 4 + 4 * 4 + 4 + 4 (so in fact I'm using 6 4's).

I was tryping to do this while not using he number 44. Here is another one I could of done for 1)

tan(4/4+44)
= tan(45)
= 1.

:)
But 4/4 is in that equation. There's no point.

Mystery

Quote from: Torch on October 14, 2009, 06:45:48 PM
Quote from: Red October on October 14, 2009, 04:57:02 PM
Quote from: ARTgames on October 13, 2009, 10:14:10 PM
4^2+4^2+4+4 is not Using four 4's. Its using 4 4s and a 2. Its what makes it harder.

The ^2 simply means to the power of two. So in this case; 4 * 4 + 4 * 4 + 4 + 4 (so in fact I'm using 6 4's).

I was tryping to do this while not using he number 44. Here is another one I could of done for 1)

tan(4/4+44)
= tan(45)
= 1.

:)
But 4/4 is in that equation. There's no point.
You just have to have 4 everywhere in your equation. I guess to make it more confusing or something.

And I love how no one had replied to this topic before until DragonReaper bumped it, then everyone seemed to disregard that. -_-
AKA Paradox/EnragedDeity/Occurrence.
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