This is the classic four fours puzzle. You would probably know 1-10
1-25 now.
You can use: Addition (+), Subtraction (-), Multiplication (*), Division (/ or fraction bar), Powers (^), Roots (fourthrt/sqrt)(Square roots are the exception to the “Nothing but fours” rule), Factorials (!), Decimals (.), Repeating decimals (…)
Example:
0=4+4-4-4
1=4/4+4-4
I already gave the answer to 1 so here:
(All of these I solved myself so your answers may not match exactly. this is just one set.)
2 = 4/4+4/4
3 = 4+(4/4)^4
4 = 4+4-sqrt4-sqrt4
5 = 4+(4/4)^4
6 = 4+sqrt4*4/4
7 = 4+4-4/4
8 = 4+4*4/4
9 = 4+4+4/4 (familiarize yourself with this pattern. Whenever you have a 1 or 2 four number [like this] you can build off it for 2 digits to either side. I only really got the hang of this trick at the end, but keep it in mind.)
10 = 4*4-4-sqrt4
11 = 4/.4+4/4
12 = 4!/4+4!/4
13 = 44/4+sqrt4
14 = 4*4+sqrt4-4
15 = 4*4-4/4
16 = 4*4*4/4
17 = 4*4+4/4
18 = 4*4-sqrt4+4
19 = 4!-4-4/4
20 = 4!-4*4/4
21 = 4!-4+4/4
22 = 4!-sqrt4+4-4
23 = 4!-(4/4)^4
24 = 4!*(4/4)^4
25 = 4!+(4/4)^4