\( \def\pm{{ ‰}} \def\pmf{{ ‰ \phantom.}} \def\pmm{{ ‰ \! ‰}} \def\pmmf{{ ‰ \! ‰ \phantom\%}} \)

Integermania!

Jonny's Birthday

The birthday of Integermania Master Jonathan Frank is November 4, 1990. Using one copy each of the numbers 4, 11, 19, and 90, and any standard operations, create each of the positive integers. All four numbers must be used, but no others. Also, the two-digit numbers 11, 19, and 90 may not be broken up. Your solutions will be assigned an exquisiteness level.

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Use the online submissions page to get your Integermania solutions posted here! Five "new" or "improved" solutions per person per month are accepted.

Page 1 (1-400).

  1 (1.0)
$4 - \dfrac{90}{19 + 11}$
Jonathan Frank, 2/22
Rye, NY
2 (3.4)
$19 - 11 - \sqrt{90 \times .4}$
Steve Wilson, 2/22
Lawrence, KS
3 (1.0)
$90 - 19 \times 4 - 11$
Jonathan Frank, 2/22
Rye, NY
4 (2.4)
$(19 - 11) \times (.90 - .4)$
Steve Wilson, 4/22
Lawrence, KS
5 (1.0)
$11 - \dfrac{90}{19 - 4}$
Steve Wilson, 2/22
Lawrence, KS
6 (2.2)
$90 \times .4 - 19 - 11$
Steve Wilson, 2/22
Lawrence, KS
7 (1.0)
$\dfrac{90}{19 + 11} + 4$
Jonathan Frank, 2/22
Rye, NY
8 (3.2)
$\sqrt{4^{90/(19+11)}}$
Steve Wilson, 2/22
Lawrence, KS
9 (3.2)
$\sqrt{\left( \dfrac{90}{19 + 11} \right)^4}$
Steve Wilson, 3/22
Lawrence, KS
10 (2.4)
$90 \times .\overline{4} - 19 - 11$
Steve Wilson, 3/22
Lawrence, KS
 
 
  11 (3.2)
$\dfrac{90 - \sqrt{4}}{19 - 11}$
Jonathan Frank, 3/22
Rye, NY
12 (1.0)
$\dfrac{90}{19 + 11} \times 4$
Jonathan Frank, 3/22
Rye, NY
13 (1.0)
$19 - \dfrac{90}{11 + 4}$
Jonathan Frank, 3/22
Rye, NY
14 (3.4)
$19 - 11 + \sqrt{90 \times .4}$
Steve Wilson, 3/22
Lawrence, KS
15 (1.0)
$\dfrac{90 - 19 - 11}{4}$
Jonathan Frank, 3/22
Rye, NY
16 (2.4)
$\dfrac{19 - 11}{.90 - .4}$
Steve Wilson, 4/22
Lawrence, KS
17 (1.0)
$\dfrac{90}{19 - 4} + 11$
Steve Wilson, 3/22
Lawrence, KS
18 (2.4)
$\dfrac{90}{.4} \times (19 - 11)\%$
Steve Wilson, 3/22
Lawrence, KS
19 (3.8)
$19 \times \dfrac{.11 - 90\pmf}{(\sqrt{4})\%}$
Steve Wilson, 6/22
Lawrence, KS
20 (2.6)
$\dfrac{19 - 11}{.90 \times .\overline{4}}$
Steve Wilson, 4/22
Lawrence, KS
  21 (2.4)
$4 \times 90 \times .\overline{11} - 19$
Steve Wilson, 4/22
Lawrence, KS
22 (3.8)
$(90 \times \sqrt{.\overline{11}} - 19) \times \sqrt{4}$
Steve Wilson, 6/22
Lawrence, KS
23 (2.2)
$(19 + 11) \times .90 - 4$
Steve Wilson, 4/22
Lawrence, KS
24 (2.2)
$(90 - 19 - 11) \times .4$
Steve Wilson, 5/22
Lawrence, KS
25 (1.0)
$90 - 19 \times 4 + 11$
Jonathan Frank, 2/22
Rye, NY
26 (3.4)
$\dfrac{90\%}{(19 + 11)\pmf} - 4$
Steve Wilson, 5/22
Lawrence, KS
27 (1.0)
$90 - 11 \times 4 - 19$
Jonathan Frank, 3/22
Rye, NY
28 (2.2)
$90 \times .4 - 19 + 11$
Steve Wilson, 5/22
Lawrence, KS
29 (3.2)
$\dfrac{90}{4! - 19} + 11$
Steve Wilson, 5/22
Lawrence, KS
30 (1.0)
$\dfrac{90 - 19 + 11}{4}$
Maddy Malm, 2/22
Lawrence, KS
  31 (2.2)
$(19 + 11) \times .90 + 4$
Steve Wilson, 5/22
Lawrence, KS
32 (2.4)
$90 \times .\overline{4} - 19 + 11$
Steve Wilson, 6/22
Lawrence, KS
33 (2.4)
$90 \times .\overline{11} + 19 + 4$
Steve Wilson, 6/22
Lawrence, KS
34 (3.4)
$\dfrac{90\%}{(19 + 11)\pmf} + 4$
Steve Wilson, 6/22
Lawrence, KS
  36 (3.2)
$90 - 4! - 19 - 11$
Jonathan Frank, 4/22
Rye, NY
       
  41 (3.2)
$\dfrac{90 - 19 + 11}{\sqrt{4}}$
Maddy Malm, 2/22
Lawrence, KS
      45 (1.0)
$\dfrac{90 \times 4}{19 - 11}$
Jonathan Frank, 4/22
Rye, NY
      49 (3.2)
$\dfrac{90 + 19 - 11}{\sqrt{4}}$
Maddy Malm, 2/22
Lawrence, KS
50 (3.2)
$11^{\sqrt{4}} - 90 + 19$
Reagan MacDonald, 5/22
Lawrence, KS
            56 (1.0)
$90 - 19 - 11 - 4$
Satchel Koch, 2/22
Lawrence, KS
  58 (1.0)
$90 - (19 - 11) \times 4$
Jonathan Frank, 4/22
Rye, NY
  60 (3.2)
$\dfrac{90 + 19 + 11}{\sqrt{4}}$
Maddy Malm, 2/22
Lawrence, KS
    62 (3.2)
$90 - 19 - 11 + \sqrt{4}$
Jonathan Frank, 6/22
Rye, NY
  64 (1.0)
$90 - 19 - 11 + 4$
Satchel Koch, 2/22
Lawrence, KS
65 (1.0)
$90 + 19 - 11 \times 4$
Anders Skjäl, 3/22
Turku, Finland
66 (1.0)
$11 \times \dfrac{90}{19 - 4}$
Anders Skjäl, 3/22
Turku, Finland
       
    72 (3.2)
$\dfrac{90 \times 4!}{19 + 11}$
Jonathan Frank, 4/22
Rye, NY
  74 (3.2)
$90 - 4! + 19 - 11$
Jonathan Frank, 4/22
Rye, NY
75 (1.0)
$(19 - 4) \times 11 - 90$
Jonathan Frank, 5/22
Rye, NY
    78 (1.0)
$90 - 19 + 11 - 4$
Satchel Koch, 2/22
Lawrence, KS
  80 (3.2)
$90 - 19 + 11 - \sqrt{4}$
Jonathan Frank, 6/22
Rye, NY
  81 (3.0)
$\left( \dfrac{90}{19 + 11} \right)^4$
Jonathan Frank, 6/22
Rye, NY
    84 (3.2)
$90 - 19 + 11 + \sqrt{4}$
J.P. Gitau, 2/22
Lawrence, KS
  86 (1.0)
$90 - 19 + 11 + 4$
Satchel Koch, 2/22
Lawrence, KS
87 (3.2)
$90 - \dfrac{4!}{19 - 11}$
Jonathan Frank, 5/22
Rye, NY
88 (1.0)
$90 - \dfrac{19 - 11}{4}$
Jonathan Frank, 2/22
Rye, NY
   
    92 (1.0)
$90 + \dfrac{19 - 11}{4}$
Jonathan Frank, 5/22
Rye, NY
93 (3.2)
$90 + \dfrac{4!}{19 - 11}$
Jonathan Frank, 5/22
Rye, NY
94 (1.0)
$90 + 19 - 11 - 4$
J.P. Gitau, 2/22
Lawrence, KS
  96 (3.2)
$90 - 4! + 19 + 11$
Jonathan Frank, 5/22
Rye, NY
      100 (3.2)
$90 + 19 - 11 + \sqrt{4}$
J.P. Gitau, 2/22
Lawrence, KS
    102 (1.0)
$90 + 19 - 11 + 4$
J.P. Gitau, 2/22
Lawrence, KS
      106 (3.2)
$4! - 19 + 90 + 11$
Reagan MacDonald, 5/22
Lawrence, KS
       
          115 (1.0)
$4 \times 11 + 90 - 19$
Isaac Denham, 5/22
Lawrence, KS
116 (1.0)
$90 + 19 + 11 - 4$
Jonathan Frank, 6/22
Rye, NY
  118 (3.2)
$90 + 19 + 11 - \sqrt{4}$
Maddy Malm, 2/22
Lawrence, KS
   
    122 (1.0)
$90 + 4 \times (19 - 11)$
Jonathan Frank, 6/22
Rye, NY
  124 (1.0)
$4 + 11 + 90 + 19$
Isaac Denham, 5/22
Lawrence, KS
           
          145 (3.2)
$(4! - 19) \times 11 + 90$
Reagan MacDonald, 5/22
Lawrence, KS
         
      153 (1.0)
$4 \times 11 + 90 + 19$
Isaac Denham, 5/22
Lawrence, KS
  155 (1.0)
$4 \times 19 + 90 - 11$
Isaac Denham, 5/22
Lawrence, KS
         
              177 (1.0)
$4 \times 19 + 90 + 11$
Isaac Denham, 5/22
Lawrence, KS
     

Page 1 (1-400).