Here’s a brain teaser !.
Can you “build” all the whole numbers between 1 and 100 using only
four 4’s ?
4
and symbol ..
+ - x / ( ) . x^2 =
oh.. and also factorial..
!
i can get the number 9 as 4+4 + 4/4 ,
hehe.
post your calculated in comment.. let’s see if can get up to 100.
Source : Great-International-Math-Keys-Book
p/s : it is from 1970’s ~
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to get 10
10 is 4 + 4 + (4/4) + (4/4)
hehehe..
Eleven is
11 = 4 + 4 + 4 - (4/4)
both above invalid. as there is a rules..
4 cannot be used more than 4 times..
(44/4) - (4/4) also cannot..
revising..
10 = (4 - (4/4))! + 4
Must solve in sequence? Here is some easy ones ...
16 = 4+4+4+4
20 = (4!-4)*4/4
24 = 44-4!+4
28 = 44-4*4
32 = (4^2)
36 = 44-4-4
40 = 4!+4!-4-4
43 = 44-4/4
44 = 44*4/4
45 = 44+4/4
48 = (4+4+4)*4
52 = 44+4+4
56 = 4!+4!+4+4
60 = 44+4*4
64 = 4^2+4^2+4^2+4^2
68 = 4*4+4*4
88 = 44+44
96 = (4!*4)*4/4
95 = (4!*4)-4/4
97 = (4!*4)+4/4
eleven..
11 = 4^2 - (4/4) - 4
12 = 4^2 - 4 * 4/4
13 = 4^2 - 4 + (4/4)
14 = 4^2-(4+4)/4
18 = 4^2+(4+4)/4
15 = 4*4-(4/4)
17 = 4*4+(4/4)