A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

watchmath

  • 5 years ago

Lets play some game! Create integers starting from 1 using exactly four of 4. You may use some standard math notaton : plus,minus, square root, factorial , multiplication, division. You can only proceed to work with the number \(n\) if you (or someone else) already did the \(n-1\).

  • This Question is Closed
  1. watchmath
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Let me start: \(1=4-4+\frac{4}{4}\)

  2. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[(\log_{4} 4)^{4^{4}}\]

  3. watchmath
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Thanks Daniel, please mention what the number is equal to :D

  4. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Lol, I did 1 again: \[2= 4/4 + 4/4\]

  5. watchmath
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \(3=\frac{4+4+4}{4}\)

  6. watchmath
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[4=4\cdot 4^{4-4}\]

  7. watchmath
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \(5=4+4^{4-4}\) \(6=4+\frac{4+4}{4}\) \(7=(4\cdot \sqrt{4})-\frac{4}{4}\)

  8. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[8 = \sqrt{4}*\sqrt[4]{4^4}\]

  9. watchmath
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \(9=4+4+\frac{4}{4}\)

  10. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[10 = \sqrt{4*4*4}+\sqrt{4}\]

  11. watchmath
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[11=\frac{4!}{\sqrt{4}}-\frac{4}{4}\] \[12=4+4+\sqrt{4}+\sqrt{4}\] \[13=\frac{4!}{\sqrt{4}}+\frac{4}{4}\]

  12. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[14 = 4!*\sqrt{4}/4 + \sqrt{4}\]

  13. watchmath
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \(15=\frac{44}{4}+4\)

  14. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    16=4*4*4/4

  15. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    17=(4*4)+(4/4)

  16. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[18 + \sqrt{4}*\sqrt{4}*4 + \sqrt{4}\]

  17. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[19 = 4! - 4 - 4/4\]

  18. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[20 = 4*(4+\log_{4}4) \]

  19. watchmath
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \(21=4!-4+\frac{4}{4}\)

  20. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    4!/4*4-\[\sqrt{4}\]

  21. watchmath
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Let me rewrite metarock result \(22=\frac{4!}{4}\cdot 4-\sqrt{4}\)

  22. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[23=4!-\sqrt{4} + 4/4\]

  23. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    24=4*4 + 4 + 4

  24. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[24 = 4*(4*\sqrt{4}-\sqrt{4})\]

  25. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[25 = 4! + \sqrt{4}-4/4\]

  26. watchmath
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[25=4!+\frac{\sqrt{4\cdot 4}}{4}\]

  27. watchmath
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[26=4!+\frac{4+4}{4}\]

  28. watchmath
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[27=4!+4-\frac{4}{4}\]

  29. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    28=4!*4/4 + 4

  30. watchmath
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \(29=4!+4+\frac{4}{4}\)

  31. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[30=4!+4+\sqrt{4}\]

  32. watchmath
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Need to use four of 4 metarock!

  33. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    sorry

  34. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    30\[30=4!+\sqrt{4}+\sqrt{4}+\sqrt{4}\]

  35. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    watchmath if i want to chat with u should i open the group chat below?

  36. watchmath
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    sure

  37. watchmath
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[31=(\sqrt{\sqrt{\sqrt{4^{4!}}}}/-\sqrt{4} )/\sqrt{4}\]

  38. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    too good probably this is the toughest one

  39. watchmath
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \(32=4\cdot 4 + 4\cdot 4\) \(33=(\sqrt{\sqrt{\sqrt{4^{4!}}}}+\sqrt{4})/\sqrt{4}\)

  40. watchmath
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \(34=\left (\sqrt{\sqrt{\sqrt{4^{4!}}}} \right )/\sqrt{4}+\sqrt{4}\)

  41. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    combinations of this can flit an 320 GB pc memory :P

  42. watchmath
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    You want to continue to play? Try 35

  43. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    :P ok i try

  44. watchmath
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Ah maybe I don't know 35 either :(

  45. watchmath
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I know it :D

  46. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\sum_{4}^{8}n \] mybe try this xd

  47. watchmath
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    But you can't use 8 :)

  48. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    wathcmath how old are you?

  49. watchmath
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    very old so don't ask :D :D

  50. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    4+4 =8 i tihnk i can use xd

  51. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    just say xd

  52. watchmath
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Ok, but then you run out of your 4

  53. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    no :( there are 4 fours ^^

  54. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    and I am 14 years old ^^or we can say 13,9911

  55. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    13,8911*

  56. watchmath
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    How's life in Turkey?

  57. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    really nice :) i am happy in there ^^

  58. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ad nd i lreally liked that site :) i learned limit and multiply today ^^ with the help of this site ^^

  59. watchmath
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    you can visit my site too and tell me what you think http://ask.watchmath.com

  60. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    okay but how old are you ?

  61. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    :D :D

  62. nowhereman
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Ok, maybe you see this as cheating, but I wrote a short python script (46lines) that does find these things with at most 4 4's. I limited it to intermediate results of 100 so I got none for 33. But for 31 there's a nicer one: \[31 = 4! + \frac{4!+4}{4}\]

  63. watchmath
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    wow! that's good nowhereman I wish I can do programming.

  64. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    WIOW!

  65. watchmath
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I want to learn programming, is python a good way to start?

  66. nowhereman
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    It's easy to use and has many advances features, but I think for the beginner it is not strict enough. For example you have very loose typing of variables. On the other hand the syntax is really nice. I'll just append the script, if you want to have a look :-)

    1 Attachment
  67. watchmath
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Are you doing your diplom right now nowhereman? typically how long does it takes?

  68. nowhereman
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Here in germany, it normally takes 9 semester. But I'm one of the last ones to do a diplom. Now they all do bachelors/masters which take 6+4 semester mostly.

  69. watchmath
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Then how much longer to get a doctorate? It seems you are interested in functional analysis :)

  70. nowhereman
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Anything up from 2 years I guess; but I'm not completely sure if I want to go that path yet :-)

  71. watchmath
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    How many more years for you to finish your diplom?

  72. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.