Trisaba one year ago How do you get 23 25 27 and 29 in 4 4s no more no less

1. Trisaba

im new

2. Trisaba

i will give medals

3. Trisaba

@dan815

4. dan815

what do yo mean in 4 4s?

5. Trisaba

four fours like the way to get 16 is $4+4+4+4$

6. dan815

ah okay so divide each of those numbers by 5

7. dan815

by 4*

8. dan815

23/4 you can rewrite 23 as 20+3 (20+3)/4 =20/4 + 3/4 = 5+3/4 so each of the part will be 5 and 3/4th

9. Trisaba

?

10. dan815

it doesnt make sense?

11. dan815

okay for example you want to split 16 into 4 4s right

12. Trisaba

yeah

13. dan815

|dw:1439936653692:dw|

14. dan815

16/4+16/4+16/4+16/4=16 does this make sense

15. dan815

you added a quarter of 16s 4 times so it will be 16

16. Trisaba

oh ok

17. dan815

1/4 of 16 was added 4 times and u simplied that 1/4th of 16 to 4 since 16/4=4

18. dan815

now we do the same thing with each number and write it in simplified form

19. Trisaba

i can only use the number 4

20. dan815

|dw:1439936765478:dw|

21. dan815

wait what lol

22. dan815

you can only use the number 4?

23. Trisaba

i need to find 23 by using only 4 4s and operations

24. dan815

ahh lol now the question is clear okay

25. dan815

|dw:1439937238061:dw|

26. Trisaba

what is !

27. dan815

that is sign for factorial 4! = 4*3*2*1

28. Trisaba

then factorial isn't ok

29. dan815

okay did they give u a list of operators that are okay to use

30. Trisaba

my computer is glitching sorry they gave me $\div \times -+\sqrt{4} 4^{2}$ that is it

31. dan815

kk

32. Trisaba

4 squared and sqrt of 4 count as one 4

33. dan815

yea

34. Trisaba

what do you have in mind i think it should start with $4^{2}$

35. dan815

can u see how to hit 7 with 3 4s

36. dan815

thats what im trying to do still

37. Trisaba

no that is what i tried

38. dan815

i think we should make a list this is looking more difficult than i thought

39. dan815

lets make a list of all the numbers we can get with 1 4 then with 2 4s and so on

40. Trisaba

me two

41. Trisaba

one 4 is 2, 4, and 16

42. dan815

we can stack operators ther actually a lore more

43. dan815

(4^2)^2

44. Trisaba

cant do that

45. dan815

i thought squaring operation is allowed

46. Trisaba

yeah bot not stacked

47. Trisaba

$4^{2}$ is the only thing we can do with it no altering in any way

48. dan815

what about embeded square is that allowed

49. dan815

|dw:1439938669932:dw|

50. Trisaba

and cant use two fours to make 44 'cause then $(44+\sqrt{4})\div \sqrt{4}$ would be the answer and no

51. dan815

ok

52. dan815

lets do 2,4s then

53. Trisaba

two 4 is 0, 2, 4, 6, 12, 14, 18, 20

54. Trisaba

oh and 1

55. Trisaba

and 8 that is it

56. dan815

and 32 and 64 too

57. Trisaba

how 64

58. Trisaba

i got 32

59. dan815

4^2*4

60. Trisaba

oh

61. Trisaba

16

62. dan815

is 4^-2 allower

63. Trisaba

no just $4^{2}$ no altering in any way

64. Trisaba

no way we can make seven in three 4s

65. Trisaba

lets put ideas together

66. dan815

sqrt(4) is plus or minus 2

67. dan815

im giving up -.-

68. Trisaba

we use it as the positive root

69. Trisaba

:(

70. dan815

thehyh arent giving me enough freedom wiht operations..

71. dan815

72. Trisaba

no

73. Trisaba

me and my classmates think they should link

74. dan815

look even this one lets u use 44s and factorials https://www.mathsisfun.com/puzzles/four-fours-solution.html

75. Trisaba

i know but my teacher wont let me

76. dan815

what country are you inÉ

77. Trisaba

USA

78. dan815

mhm

79. Trisaba

MHM?

80. dan815

:)

81. dan815

i wanna see how ur teacher did it

82. Trisaba

he didnt tell us do tommorow

83. Trisaba

due typo