Comments on: Puzzles: 4, 3, 2, 1 and maybe (()) http://jd2718.wordpress.com/2007/06/07/4-3-2-1-and-maybe/ Education, Math, Teaching, New York, Bronx, Union, Language, Travel Mon, 16 Nov 2009 16:03:43 +0000 http://wordpress.com/ hourly 1 By: Anonymous http://jd2718.wordpress.com/2007/06/07/4-3-2-1-and-maybe/#comment-44321 Anonymous Thu, 03 Sep 2009 00:06:33 +0000 http://jd2718.wordpress.com/2007/06/07/4-3-2-1-and-maybe/#comment-44321 Easy i know how to get 324 numbers Easy i know how to get 324 numbers

]]> By: Anonymous http://jd2718.wordpress.com/2007/06/07/4-3-2-1-and-maybe/#comment-40076 Anonymous Wed, 07 Jan 2009 01:06:00 +0000 http://jd2718.wordpress.com/2007/06/07/4-3-2-1-and-maybe/#comment-40076 Ahhh i need this fast! Ahhh i need this fast!

]]> By: Anonymous http://jd2718.wordpress.com/2007/06/07/4-3-2-1-and-maybe/#comment-40075 Anonymous Wed, 07 Jan 2009 01:05:25 +0000 http://jd2718.wordpress.com/2007/06/07/4-3-2-1-and-maybe/#comment-40075 kj, whats 43, but not using 44???? I am not allowed to use 44 kj, whats 43, but not using 44???? I am not allowed to use 44

]]> By: Anonymous http://jd2718.wordpress.com/2007/06/07/4-3-2-1-and-maybe/#comment-40074 Anonymous Wed, 07 Jan 2009 01:02:01 +0000 http://jd2718.wordpress.com/2007/06/07/4-3-2-1-and-maybe/#comment-40074 Hi I need 43,but without using 44, otherwise the answer would be obvious Hi I need 43,but without using 44, otherwise the answer would be obvious

]]> By: blombard http://jd2718.wordpress.com/2007/06/07/4-3-2-1-and-maybe/#comment-40031 blombard Fri, 02 Jan 2009 16:44:58 +0000 http://jd2718.wordpress.com/2007/06/07/4-3-2-1-and-maybe/#comment-40031 Here's another variation: Use three 9's to make the integers from 1 through 12. They can then be used as numbers on a clock. See: http://www.mrlsmath.com/uncategorized/triple-nine-wall-clock-student-math-challenge/ for a picture of this Triple Nine Wall Clock from cafepress. Cordially, Bill Lombard (Mr. L) Here’s another variation:
Use three 9’s to make the integers from 1 through 12.
They can then be used as numbers on a clock. See:
http://www.mrlsmath.com/uncategorized/triple-nine-wall-clock-student-math-challenge/
for a picture of this Triple Nine Wall Clock from cafepress.
Cordially,
Bill Lombard (Mr. L)

]]> By: The 2009 Mathematics Game « Let’s Play Math! http://jd2718.wordpress.com/2007/06/07/4-3-2-1-and-maybe/#comment-40010 The 2009 Mathematics Game « Let’s Play Math! Thu, 01 Jan 2009 11:51:47 +0000 http://jd2718.wordpress.com/2007/06/07/4-3-2-1-and-maybe/#comment-40010 [...] You may also enjoy the Famous Four 4’s or Jonathan’s 4, 3, 2, 1 Puzzle. [...] [...] You may also enjoy the Famous Four 4’s or Jonathan’s 4, 3, 2, 1 Puzzle. [...]

]]> By: Jared http://jd2718.wordpress.com/2007/06/07/4-3-2-1-and-maybe/#comment-39313 Jared Tue, 16 Sep 2008 04:27:15 +0000 http://jd2718.wordpress.com/2007/06/07/4-3-2-1-and-maybe/#comment-39313 go to, http://www.wheels.org/math/44s.html and it will give you the answers go to, http://www.wheels.org/math/44s.html and it will give you the answers

]]> By: mikaela http://jd2718.wordpress.com/2007/06/07/4-3-2-1-and-maybe/#comment-37002 mikaela Fri, 04 Apr 2008 00:29:52 +0000 http://jd2718.wordpress.com/2007/06/07/4-3-2-1-and-maybe/#comment-37002 answers please!!!!!!!!! my daughter really needs fifth grade answers answers please!!!!!!!!! my daughter really needs fifth grade answers

]]> By: morgan http://jd2718.wordpress.com/2007/06/07/4-3-2-1-and-maybe/#comment-35520 morgan Mon, 11 Feb 2008 01:49:05 +0000 http://jd2718.wordpress.com/2007/06/07/4-3-2-1-and-maybe/#comment-35520 Can anyone help me? I am working on this project but can not figure it out. I have 1-10, and other random numbers. I have looked at other sites but can not figure out what they are saying. If you can help, please e-mail me at masadler90@yahoo.com Can anyone help me? I am working on this project but can not figure it out. I have 1-10, and other random numbers. I have looked at other sites but can not figure out what they are saying. If you can help, please e-mail me at masadler90@yahoo.com

]]> By: Hatty http://jd2718.wordpress.com/2007/06/07/4-3-2-1-and-maybe/#comment-34028 Hatty Wed, 02 Jan 2008 15:04:32 +0000 http://jd2718.wordpress.com/2007/06/07/4-3-2-1-and-maybe/#comment-34028 Help me!!!!!! Numbers 73 to 87 are really puzzling me!!!! can anyone help????? Help me!!!!!!
Numbers 73 to 87 are really puzzling me!!!! can anyone help?????

]]> By: kj http://jd2718.wordpress.com/2007/06/07/4-3-2-1-and-maybe/#comment-32888 kj Sun, 09 Dec 2007 17:51:10 +0000 http://jd2718.wordpress.com/2007/06/07/4-3-2-1-and-maybe/#comment-32888 ok does anyone know where i can get some anwsers. Im 13 and doing this as a project for school oonn maths. I have got up to 356 but am now quite stuck if anyone can help post a comment back on this blog. ok does anyone know where i can get some anwsers. Im 13 and doing this as a project for school oonn maths. I have got up to 356 but am now quite stuck if anyone can help post a comment back on this blog.

]]> By: Solving an arithmetic puzzle with Haskell « blog :: Brent -> [String] http://jd2718.wordpress.com/2007/06/07/4-3-2-1-and-maybe/#comment-21931 Solving an arithmetic puzzle with Haskell « blog :: Brent -> [String] Thu, 21 Jun 2007 15:29:54 +0000 http://jd2718.wordpress.com/2007/06/07/4-3-2-1-and-maybe/#comment-21931 [...] an arithmetic puzzle with Haskell JD2718 posted a puzzle the other day: the idea is to count how many possible results you can get by combining the numbers [...] [...] an arithmetic puzzle with Haskell JD2718 posted a puzzle the other day: the idea is to count how many possible results you can get by combining the numbers [...]

]]> By: jd2718 http://jd2718.wordpress.com/2007/06/07/4-3-2-1-and-maybe/#comment-20778 jd2718 Fri, 15 Jun 2007 05:16:25 +0000 http://jd2718.wordpress.com/2007/06/07/4-3-2-1-and-maybe/#comment-20778 My guesses are just that, guesses. But back to those parentheses. Assume for a moment that our operations are subtraction, division, and addition, in that order. We get: ((4-3)/2)+1 (4-3)/(2+1) (4-(3/2))+1 4-((3/2)+1) 4-(3/(2+1)) skip this which repeats the 2nd: (4-3)/(2+1) Principle: I used parens to establish order of operations. -/+ -+/ /-+ /+- +/- (+-/ is really a repeat) So that's 5 parenthesizations for each group of operations (max), or 5*64 = 320 maximum possible values My guesses are just that, guesses.

But back to those parentheses. Assume for a moment that our operations are subtraction, division, and addition, in that order. We get:

((4-3)/2)+1
(4-3)/(2+1)
(4-(3/2))+1
4-((3/2)+1)
4-(3/(2+1))

skip this which repeats the 2nd:
(4-3)/(2+1)

Principle: I used parens to establish order of operations.
-/+
-+/
/-+
/+-
+/-
(+-/ is really a repeat)

So that’s 5 parenthesizations for each group of operations (max), or 5*64 = 320 maximum possible values

]]> By: mathercize http://jd2718.wordpress.com/2007/06/07/4-3-2-1-and-maybe/#comment-20773 mathercize Fri, 15 Jun 2007 04:10:07 +0000 http://jd2718.wordpress.com/2007/06/07/4-3-2-1-and-maybe/#comment-20773 >> Why are you distinguishing (432)1 from ((43)2)1 ? I forgot to mention my original assumption, that being order of operations. If there is addition/subtraction between 4 and 3 and either multiplication or division between 3 and 2, this would matter. I was looking for a maximum number of different solutions and with my assumptions, I think 704 is the max. I was really curious how you came up with your % guesses (integers, negatives, etc). Was this an educated guess from puzzle experience or just some number sense...? >> Why are you distinguishing (432)1 from ((43)2)1 ?

I forgot to mention my original assumption, that being order of operations. If there is addition/subtraction between 4 and 3 and either multiplication or division between 3 and 2, this would matter.

I was looking for a maximum number of different solutions and with my assumptions, I think 704 is the max.

I was really curious how you came up with your % guesses (integers, negatives, etc). Was this an educated guess from puzzle experience or just some number sense…?

]]> By: jd2718 http://jd2718.wordpress.com/2007/06/07/4-3-2-1-and-maybe/#comment-20767 jd2718 Fri, 15 Jun 2007 03:29:57 +0000 http://jd2718.wordpress.com/2007/06/07/4-3-2-1-and-maybe/#comment-20767 Why are you distinguishing (432)1 from ((43)2)1 ? Why are you distinguishing (432)1 from ((43)2)1 ?

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