Integermania!

Ralph's Birthyear

Integermaniac master Ralph Jeffords was born in 1948. Using one copy each of the digits 1, 4, 8, and 9, and any standard operations, create each of the positive integers. All four numbers must be used, but no others. Your solutions will be assigned an exquisiteness level.

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Page 1 (1-400), Page 2 (401+).

  401 (2.2)
$\dfrac{4}{1\%} + 9 - 8$
Steve Wilson, 5/15
Lawrence, KS
402 (2.6)
$\dfrac{4.1}{.\overline{9}\%} - 8$
Steve Wilson, 5/15
Lawrence, KS
403 (3.4)
$\dfrac{8 - 4}{1\%} + \sqrt{9}$
Steve Wilson, 5/15
Lawrence, KS
404 (2.6)
$\dfrac{8}{1.\overline{9}\%} + 4$
Steve Wilson, 5/15
Lawrence, KS
405 (2.6)
$81 \times (9 - 4)$
Steve Wilson, 5/15
Lawrence, KS
406 (2.8)
$\dfrac{9 \times .4}{.\overline{8}\%} + 1$
Steve Wilson, 6/15
Lawrence, KS
407 (2.6)
$\dfrac{4}{1\%} + 8 - .\overline{9}$
Steve Wilson, 6/15
Lawrence, KS
408 (2.4)
$\dfrac{4}{.1 - 9\%} + 8$
Steve Wilson, 6/15
Lawrence, KS
409 (2.0)
$418 - 9$
Steve Wilson, 6/15
Lawrence, KS
410 (2.2)
$\dfrac{4.1}{(9 - 8)\%}$
Steve Wilson, 8/12
Raytown, MO
  411 (2.0)
$419 - 8$
Steve Wilson, 6/15
Lawrence, KS
412 (3.4)
$418 - (\sqrt{9})!$
Steve Wilson, 7/15
Lawrence, KS
413 (4.2)
$\dfrac{ \dfrac{9}{\sqrt{4\%}} +.\overline{8}}{.\overline{1}}$
Steve Wilson, 7/15
Lawrence, KS
414 (2.6)
$\dfrac{1.8}{.\overline{4}\%} + 9$
Steve Wilson, 7/15
Lawrence, KS
415 (3.2)
$418 - \sqrt{9}$
Steve Wilson, 7/15
Lawrence, KS
416 (2.8)
$\dfrac{1.\overline{8}}{.\overline{4}\%} - 9$
Steve Wilson, 7/15
Lawrence, KS
417 (2.2)
$\dfrac{4}{1\%} + 8 + 9$
Steve Wilson, 8/15
Lawrence, KS
418 (2.4)
$418 \times .\overline{9}$
Steve Wilson, 8/15
Lawrence, KS
419 (2.2)
$418.\overline{9}$
Steve Wilson, 8/15
Lawrence, KS
420 (2.2)
$\dfrac{9 - 4.8}{1\%}$
Steve Wilson, 2/13
Raytown, MO
  421 (3.2)
$418 + \sqrt{9}$
Steve Wilson, 9/15
Lawrence, KS
422 (3.6)
$\dfrac{4 + \sqrt{9\%}}{1\%} - 8$
Steve Wilson, 9/15
Lawrence, KS
423 (2.0)
$(48 - 1) \times 9$
Steve Wilson, 8/15
Lawrence, KS
424 (2.2)
$\dfrac{9 + 8}{4\%} - 1$
Steve Wilson, 8/15
Lawrence, KS
425 (2.2)
$(9 + 8) \times \dfrac{1}{4\%}$
Steve Wilson, 9/15
Lawrence, KS
426 (2.2)
$\dfrac{9 + 8}{4\%} + 1$
Steve Wilson, 8/15
Lawrence, KS
427 (2.0)
$418 + 9$
Steve Wilson, 8/15
Lawrence, KS
428 (4.6)
$(-\log (1\%))^9 - 84$
Steve Wilson, 10/15
Lawrence, KS
429 (3.4)
$4! \times 18 - \sqrt{9}$
Steve Wilson, 10/15
Lawrence, KS
430 (2.6)
$\dfrac{1 + 9 \times 8\%}{.4\%}$
Steve Wilson, 2/13
Raytown, MO
  431 (2.0)
$48 \times 9 - 1$
Austin Timmons, 4/12
Overland Park, KS
432 (2.0)
$48 \times 9 \times 1$
Steve Wilson, 10/15
Lawrence, KS
433 (2.0)
$48 \times 9 + 1$
Nathan Fields, 4/12
Overland Park, KS
434 (2.8)
$\dfrac{1.\overline{8}}{.\overline{4}\%} + 9$
Steve Wilson, 10/15
Lawrence, KS
435 (3.4)
$4! \times 18 + \sqrt{9}$
Steve Wilson, 10/15
Lawrence, KS
436 (2.4)
$981 \times .\overline{4}$
Steve Wilson, 11/15
Lawrence, KS
437 (4.6)
$48 \times 9 - \log (1 \% ‰)$
Steve Wilson, 11/15
Lawrence, KS
438 (3.6)
$4! \times 18 + (\sqrt{9})!$
Steve Wilson, 11/15
Lawrence, KS
439 (5.4)
$\coth \ln \sqrt{ \coth \ln ((8-1)\sqrt{9}) } - \sqrt{4}$
Steve Wilson, 5/16
Lawrence, KS
440 (2.2)
$\dfrac{9 \times 4 + 8}{.1}$
Steve Wilson, 2/13
Raytown, MO
 
  441 (2.0)
$(48 + 1) \times 9$
Steve Wilson, 11/15
Lawrence, KS
442 (2.6)
$\dfrac{4}{.\overline{8}\%} - 9 + 1$
Steve Wilson, 11/15
Lawrence, KS
443 (5.4)
$\coth \ln \sqrt{ \coth \ln ((8-1)\sqrt{9}) } + \sqrt{4}$
Steve Wilson, 5/16
Lawrence, KS
444 (3.4)
$\dfrac{89}{\sqrt{4\%}} - 1$
Steve Wilson, 3/16
Lawrence, KS
445 (2.0)
$89 \times (4 + 1)$
Austin Timmons, 5/12
Overland Park, KS
446 (2.2)
$4 \times \left( \dfrac{9}{8\%} - 1 \right)$
Steve Wilson, 1/16
Lawrence, KS
447 (3.4)
$\dfrac{1.8}{4 ‰} - \sqrt{9}$
Steve Wilson, 3/16
Lawrence, KS
448 (2.6)
$\dfrac{9 - 4\%}{.1 - 8\%}$
Steve Wilson, 1/16
Lawrence, KS
449 (2.2)
$4 \times \dfrac{9}{8\%} - 1$
Steve Wilson, 1/16
Lawrence, KS
450 (2.2)
$\dfrac{4 \times 9}{8 \times 1\%}$
Katie Roberts, 7/12
Washington, DC
  451 (2.2)
$4 \times \dfrac{9}{8\%} + 1$
Steve Wilson, 1/16
Lawrence, KS
452 (2.6)
$\dfrac{9 + 4\%}{.1 - 8\%}$
Steve Wilson, 1/16
Lawrence, KS
453 (3.8)
$\dfrac{4}{.\overline{8}\%} + 1 \times \sqrt{9}$
Steve Wilson, 4/16
Lawrence, KS
454 (2.2)
$\left( \dfrac{9}{8\%} + 1 \right) \times 4$
Steve Wilson, 2/16
Lawrence, KS
455 (2.2)
$9.1 \times \dfrac{4}{8\%}$
Steve Wilson, 2/16
Lawrence, KS
456 (3.2)
$(8 - 4)! \times 19$
Steve Wilson, 3/16
Lawrence, KS
  458 (2.6)
$\dfrac{4}{.\overline{8}\%} + 9 - 1$
Steve Wilson, 2/16
Lawrence, KS
459 (2.2)
$\left( \dfrac{4}{8\%} + 1 \right) \times 9$
Steve Wilson, 2/16
Lawrence, KS
460 (2.6)
$\dfrac{4}{.\overline{8}\%} + 9 + 1$
Steve Wilson, 2/13
Raytown, MO
        464 (2.4)
$\left( \dfrac{1}{.8\%} - 9 \right) \times 4$
Steve Wilson, 2/16
Lawrence, KS
    467 (2.4)
$\dfrac{19}{4\%} - 8$
Steve Wilson, 3/16
Lawrence, KS
  469 (2.6)
$\dfrac{4}{.\overline{8}\%} + 19$
Steve Wilson, 3/16
Lawrence, KS
470 (2.2)
$\dfrac{94}{1 - .8}$
Steve Wilson, 2/13
Raytown, MO
  471 (2.2)
$\dfrac{4.8}{1\%} - 9$
Steve Wilson, 4/16
Lawrence, KS
472 (2.0)
$481 - 9$
Steve Wilson, 4/16
Lawrence, KS
473 (2.4)
$\dfrac{19 - 8\%}{4\%}$
Steve Wilson, 4/16
Lawrence, KS
  475 (2.2)
$\dfrac{19}{(8 - 4)\%}$
Steve Wilson, 4/16
Lawrence, KS
        480 (3.4)
$\dfrac{18}{.9} \times 4!$
Sara Stites, 6/12
Lawrence, KS
      483 (2.0)
$491 - 8$
Lawrence Ombasa, 4/16
Overland Park, KS
          489 (2.0)
$489 \times 1$
Archit Patel, 4/12
Shawnee, KS
490 (2.0)
$489 + 1$
Archit Patel, 5/12
Shawnee, KS
                498 (2.0)
$498 \times 1$
Ben Kerkhoff, 6/12
Lawrence, KS
499 (2.0)
$498 + 1$
Miles Gill, 6/12
Lawrence, KS
500 (2.2)
$\dfrac{9 - 8 + 4}{1\%}$
Steve Wilson, 3/13
Raytown, MO
      503 (3.0)
$8^{4-1} - 9$
Paolo Noya, 12/13
Bergamo, Italy
            510 (2.4)
$\dfrac{4}{.8\%} + 9 + 1$
Steve Wilson, 3/13
Raytown, MO
    512 (3.0)
$\dfrac{8^4}{9-1}$
Chris Harris, 6/12
Overland Park, KS
              520 (2.8)
$\dfrac{1.\overline{9} + 8\%}{.4\%}$
Steve Wilson, 3/13
Raytown, MO
  521 (3.0)
$8^{4-1} + 9$
Paolo Noya, 12/13
Bergamo, Italy
                530 (3.8)
$\dfrac{4}{.8\%} + \dfrac{\sqrt{9}}{.1}$
Steve Wilson, 3/13
Raytown, MO
            536 (3.4)
$\dfrac{(8 - 1)!}{9} - 4!$
Lawrence Ombasa, 2/16
Overland Park, KS
       
              567 (3.2)
$81 \times ( \sqrt{9} + 4)$
Collin Morgan, 7/12
Overland Park, KS
     
            576 (3.4)
$4! \times \sqrt{9} \times 8 \times 1$
Landon Nigh, 10/12
Basehor, KS
577 (3.4)
$4! \times \sqrt{9} \times 8 + 1$
Landon Nigh, 10/12
Basehor, KS
     
                  599 (3.4)
$\dfrac{8}{4\%} \times \sqrt{9} - 1$
Yi Zheng, 3/16
Olathe, KS
600 (3.4)
$\dfrac{8}{4\%} \times \sqrt{9} \times 1$
Yi Zheng, 3/16
Olathe, KS
  601 (3.4)
$\dfrac{8}{4\%} \times \sqrt{9} + 1$
Yi Zheng, 3/16
Olathe, KS
            608 (2.0)
$19 \times 8 \times 4$
Allison Layne-Mulhern, 9/13
Leawood, KS
   
          625 (3.0)
$\left( \dfrac{9}{1.8} \right)^4$
Austin Timmons, 4/12
Overland Park, KS
        630 (5.0)
${}_8 C_4 \times 9 \times 1$
Wenming Zhao, 7/12
Lawrence, KS
        724 (2.0)
$91 \times 8 - 4$
Nathan Fields, 3/12
Overland Park, KS
        729 (3.0)
$\dfrac{9^4}{8 + 1}$
Parker Thomsen, 2/15
Lenexa, KS
 
    732 (2.0)
$91 \times 8 + 4$
Allison Layne-Mulhern, 10/13
Leawood, KS
               
  751 (2.0)
$94 \times 8 - 1$
Nathan Fields, 3/12
Overland Park, KS
752 (2.0)
$94 \times 8 \times 1$
Ameshia Kearney, 3/12
Overland Park, KS
753 (2.0)
$94 \times 8 + 1$
Hee Do Yoon, 4/12
Overland Park, KS
  755 (2.0)
$84 \times 9 - 1$
Parker Thomsen, 2/15
Lenexa, KS
756 (2.0)
$189 \times 4$
Nathan Fields, 4/12
Overland Park, KS
757 (2.0)
$84 \times 9 + 1$
Allison Layne-Mulhern, 10/13
Leawood, KS
     
    792 (2.0)
$198 \times 4$
Xinpei Zhao, 7/12
Lawrence, KS
               
                    810 (3.2)
$\dfrac{9^{8/4}}{.1}$
Xueqin Xie, 7/12
Lawrence, KS
  811 (3.2)
$814 - \sqrt{9}$
Hannah Maleki, 9/15
Overland Park, KS
      815 (2.0)
$819 - 4$
Lawrence Ombasa, 4/16
Overland Park, KS
        820 (3.0)
$\dfrac{9^4 - 1}{8}$
Chelsea Kiddle, 8/12
Leawood, KS
      823 (2.0)
$819 + 4$
Chris Harris, 6/12
Overland Park, KS
             
                    840 (3.2)
$(9 - 4)! \times (8 - 1)$
Lawrence Ombasa, 4/16
Overland Park, KS
      843 (3.2)
$819 + 4!$
Parker Thomsen, 2/15
Lenexa, KS
             
    882 (2.0)
$18 \times 49$
Dominic Clemente, 7/12
Lawrence, KS
        887 (2.0)
$891 - 4$
Andrew Haar, 6/12
Silver Lake, KS
     
        894 (2.0)
$894 \times 1$
Ben Kerkhoff, 6/12
Lawrence, KS
895 (2.0)
$891 + 4$
Archit Patel, 5/12
Shawnee, KS
896 (3.2)
$\dfrac{8!}{9 \times (4 + 1)}$
Parker Thomsen, 2/15
Lenexa, KS
      900 (3.8)
$\dfrac{4! \times \sqrt{9}}{.8 \times .1}$
Landon Nigh, 10/12
Basehor, KS
    912 (2.0)
$19 \times 48$
Dominic Clemente, 7/12
Lawrence, KS
    915 (3.2)
$891 + 4!$
Parker Thomsen, 2/15
Lenexa, KS
         
    922 (2.0)
$918 + 4$
Chris Harris, 6/12
Overland Park, KS
      926 (5.2)
$\dfrac{8}{1\%} + {}_9 C_4$
Wenming Zhao, 7/12
Lawrence, KS
       
      983 (2.0)
$984 - 1$
Hee Do Yoon, 4/12
Overland Park, KS
984 (2.0)
$984 \times 1$
Archit Patel, 5/12
Shawnee, KS
985 (2.0)
$984 + 1$
Archit Patel, 4/12
Shawnee, KS
         
          1005 (3.2)
$981 + 4!$
Yue Li, 6/12
Lawrence, KS
  1007 (5.0)
${}_9 C_4 \times 8 - 1$
Xueqin Xie, 7/12
Lawrence, KS
1008 (2.0)
$14 \times 8 \times 9$
Allison Layne-Mulhern, 9/13
Leawood, KS
   
                    1080 (3.4)
$\left( \dfrac{4}{8 \times .1} \right)! \times 9$
Xueqin Xie, 7/12
Lawrence, KS
    1092 (2.0)
$91 \times (8 + 4)$
Hannah Maleki, 9/15
Overland Park, KS
               
                  1119 (3.2)
$\dfrac{8!}{9 \times 4} - 1$
Elizabeth Waters, 7/12
Lawrence, KS
1120 (3.2)
$\dfrac{8!}{9 \times 4} \times 1$
Elizabeth Waters, 7/12
Lawrence, KS
  1121 (3.2)
$\dfrac{8!}{9 \times 4} + 1$
Elizabeth Waters, 7/12
Lawrence, KS
                 
        1134 (3.4)
$\dfrac{9!}{8 \times 4} \times .1$
Shannon O'Neill, 7/12
Lawrence, KS
           
    1192 (2.0)
$149 \times 8$
Nathan Fields, 3/12
Overland Park, KS
               
            1246 (2.0)
$89 \times 14$
Miles Gill, 6/12
Lawrence, KS
      1250 (3.0)
$\dfrac{(9 + 1)^4}{8}$
Katie Roberts, 7/12
Washington, DC
                    1330 (5.0)
${_8 C_4} \times 19$
Hannah Maleki, 11/15
Overland Park, KS
    1332 (2.0)
$148 \times 9$
Nathan Fields, 3/12
Overland Park, KS
               
    1372 (2.0)
$98 \times 14$
Andrew Haar, 6/12
Silver Lake, KS
               
                  1489 (2.0)
$1489$
Haoyuan Wu, 7/12
Lawrence, KS
 
                1498 (2.0)
$1498$
Haoyuan Wu, 7/12
Lawrence, KS
   
    1552 (2.0)
$194 \times 8$
Nathan Fields, 5/12
Overland Park, KS
               
          1575 (5.2)
$\dfrac{ {}_9 C_4}{8 \times 1\%}$
Wenming Zhao, 7/12
Lawrence, KS
         
            1596 (2.0)
$19 \times 84$
Dominic Clemente, 7/12
Lawrence, KS
      1600 (2.2)
$\dfrac{8}{4\%} \times (9 - 1)$
Yi Zheng, 3/16
Olathe, KS
            1656 (2.0)
$184 \times 9$
Archit Patel, 4/12
Shawnee, KS
       
                  1689 (5.0)
${}_8 P_4 + {}_9 P_1$
Qian Dang, 7/12
Lawrence, KS
 
              1727 (3.2)
$4! \times 8 \times 9 - 1$
Long Zhang, 7/12
Lawrence, KS
1728 (5.2)
$4! \times 8 \times {}_9 C_1$
Wenming Zhao, 7/12
Lawrence, KS
1729 (3.2)
$4! \times 8 \times 9 + 1$
Long Zhang, 7/12
Lawrence, KS
 
    1792 (3.4)
$\dfrac{8!}{9} \times 4 \times .1$
Shannon O'Neill, 7/12
Lawrence, KS
            1799 (2.2)
$\dfrac{9 \times 8}{4\%} - 1$
Yi Zheng, 1/16
Olathe, KS
1800 (2.2)
$\dfrac{9 \times 8}{4 \times 1\%}$
Luke Sauvadon, 7/12
Lawrence, KS
  1801 (2.2)
$\dfrac{9 \times 8}{4\%} + 1$
Yi Zheng, 1/16
Olathe, KS
                 
                  1849 (2.0)
$1849$
Haoyuan Wu, 7/12
Lawrence, KS
 
        1894 (2.0)
$1894$
Haoyuan Wu, 7/12
Lawrence, KS
           
        1984 (2.0)
$1984$
Haoyuan Wu, 7/12
Lawrence, KS
           
              2007 (3.4)
$8! \times (4 + 1)\% - 9$
Wei Zhang, 7/12
Lawrence, KS
     
                    2500 (2.4)
$\dfrac{9 - 1}{4\% \times 8\%}$
Yi Zheng, 3/16
Olathe, KS
            2916 (2.0)
$81 \times 9 \times 4$
Allison Layne-Mulhern, 12/13
Leawood, KS
       
    2952 (2.0)
$41 \times 9 \times 8$
Allison Layne-Mulhern, 12/13
Leawood, KS
               
            3276 (2.0)
$819 \times 4$
Andrew Haar, 6/12
Silver Lake, KS
       
        3564 (2.0)
$891 \times 4$
Blake Goldstein, 7/14
Leawood, KS
           
                  3649 (2.0)
$89 \times 41$
Miles Gill, 6/12
Lawrence, KS
 
    3672 (2.0)
$918 \times 4$
Blake Goldstein, 7/14
Leawood, KS
               
    3762 (2.0)
$418 \times 9$
Ben Kerkhoff, 6/12
Lawrence, KS
               
        3884 (5.0)
${}_{19} C_4 + 8$
Shannon O'Neill, 7/12
Lawrence, KS
           
                    3920 (2.2)
$98 \times \dfrac{4}{.1}$
Dietrich Kruse, 12/12
Olathe, KS
        3924 (2.0)
$981 \times 4$
Nathan Fields, 4/12
Overland Park, KS
      3928 (2.0)
$491 \times 8$
Ben Kerkhoff, 7/12
Lawrence, KS
   
                  3969 (2.0)
$81 \times 49$
Blake Goldstein, 7/14
Leawood, KS
 
          4005 (3.0)
$8^4 - 91$
Andrew Haar, 6/12
Silver Lake, KS
         
                4018 (2.0)
$41 \times 98$
Miles Gill, 6/12
Lawrence, KS
   
            4086 (3.0)
$8^4 - 9 - 1$
Harman Tiwana, 11/12
Lenexa, KS
       
        4104 (3.0)
$8^4 + 9 - 1$
Hee Do Yoon, 4/12
Overland Park, KS
4105 (3.0)
$8^4 \times 1 + 9$
Ryan McNeese, 6/12
Lawrence, KS
4106 (3.0)
$8^4 + 9 + 1$
Hee Do Yoon, 4/12
Overland Park, KS
       
          4115 (3.0)
$8^4 + 19$
Yue Li, 6/12
Lawrence, KS
         
              4187 (3.0)
$8^4 + 91$
Yue Li, 6/12
Lawrence, KS
     
                  4329 (2.0)
$481 \times 9$
Nathan Fields, 4/12
Overland Park, KS
 
                4368 (2.0)
$91 \times 48$
Blake Goldstein, 7/14
Leawood, KS
   
            4536 (3.2)
$189 \times 4!$
Dominic Clemente, 7/12
Lawrence, KS
       
    4752 (3.2)
$198 \times 4!$
Dominic Clemente, 7/12
Lawrence, KS
               
                    6370 (5.0)
${}_8 C_4 \times 91$
Cooper Krause, 7/12
Lawrence, KS
                    6480 (3.0)
$9^4 - 81$
Ben Kerkhoff, 6/12
Lawrence, KS
      6543 (3.0)
$9^4 - 18$
Cooper Krause, 7/12
Lawrence, KS
             
        6554 (3.0)
$9^4 - 8 + 1$
Ryan McNeese, 6/12
Lawrence, KS
           
  6561 (3.0)
$(9 \times 1)^{8 - 4}$
Javion Grant, 7/14
Kansas City, KS
            6568 (3.0)
$9^4 + 8 - 1$
Javion Grant, 7/14
Kansas City, KS
6569 (3.0)
$9^4 \times 1 + 8$
Chris Harris, 6/12
Overland Park, KS
6570 (3.0)
$9^4 + 8 + 1$
Ryan McNeese, 6/12
Lawrence, KS
                  6579 (3.0)
$9^4 + 18$
Ben Kerkhoff, 6/12
Lawrence, KS
 
    6642 (3.0)
$9^4 + 81$
Chris Harris, 6/12
Overland Park, KS
               
    7312 (2.0)
$914 \times 8$
Deborah Kangas, 4/14
Lenexa, KS
               
                7528 (2.0)
$941 \times 8$
Xinpei Zhao, 7/12
Lawrence, KS
   
                    7560 (2.2)
$84 \times \dfrac{9}{.1}$
Dietrich Kruse, 12/12
Olathe, KS
                  7569 (2.0)
$841 \times 9$
Alyssa Trembly, 2/14
Spring Hill, KS
 
        7614 (2.0)
$94 \times 81$
Andrew Haar, 6/12
Silver Lake, KS
           
        7644 (2.0)
$84 \times 91$
Miles Gill, 6/12
Lawrence, KS
           
                  11339 (3.2)
$\dfrac{9!}{8 \times 4} - 1$
Shannon O'Neill, 7/12
Lawrence, KS
11340 (3.2)
$\dfrac{9!}{8 \times 4} \times 1$
Shannon O'Neill, 7/12
Lawrence, KS
  11341 (3.2)
$\dfrac{9!}{8 \times 4} + 1$
Elizabeth Waters, 7/12
Lawrence, KS
                 
                    15120 (5.2)
$\dfrac{ {}_9 P_8}{4!} \times 1$
Luke Sauvadon, 7/12
Lawrence, KS
    18152 (3.4)
$9! \times (4 + 1)\% + 8$
Long Zhang, 7/12
Lawrence, KS
               
                    20160 (3.8)
$.1 \times 9! - .4 \times 8!$
Jason Cosentino, 7/12
Lawrence, KS
                    22950 (2.2)
$\dfrac{918}{4\%}$
Alyssa Trembly, 1/15
Spring Hill, KS
          24525 (2.2)
$\dfrac{981}{4\%}$
Alyssa Trembly, 1/15
Spring Hill, KS
         
              32767 (3.0)
$\dfrac{4^9}{8} - 1$
Yuncan Yang, 7/12
Lawrence, KS
     
      36863 (3.0)
$8^4 \times 9 - 1$
Kayla Hutchison, 5/14
Salina, KS
36864 (3.0)
$8^4 \times 9 \times 1$
Luke Sauvadon, 7/12
Lawrence, KS
36865 (3.0)
$8^4 \times 9 + 1$
Kayla Hutchison, 5/14
Salina, KS
         
        40324 (3.2)
$\dfrac{9!}{8 + 1} + 4$
Andrew Mohr, 7/12
Lawrence, KS
           
    40352 (3.2)
$8! + 41 - 9$
Obada Albadawi, 3/16
Overland Park, KS
               
                  40469 (3.2)
$8! + 149$
Andrew Mohr, 7/12
Lawrence, KS
 
  40811 (3.2)
$8! + 491$
Andrew Mohr, 7/12
Lawrence, KS
                 
  41261 (3.2)
$8! + 941$
Andrew Mohr, 7/12
Lawrence, KS
                 
            52416 (3.8)
$.1 \times 9! + .4 \times 8!$
Jason Cosentino, 7/12
Lawrence, KS
       
              52487 (3.0)
$9^4 \times 8 - 1$
Kayla Hutchison, 5/14
Salina, KS
52488 (3.0)
$9^4 \times 8 \times 1$
Kayla Hutchison, 5/14
Salina, KS
52489 (3.0)
$9^4 \times 8 + 1$
Kayla Hutchison, 5/14
Salina, KS
 
            65536 (3.0)
$(9 + 8 - 1)^4$
Obada Albadawi, 3/16
Overland Park, KS
       
        77824 (3.0)
$19 \times 8^4$
Deborah Kangas, 4/14
Lenexa, KS
           
                    89400 (2.2)
$\dfrac{894}{1\%}$
Alyssa Trembly, 1/15
Spring Hill, KS
                    94800 (2.2)
$\dfrac{948}{1\%}$
Alyssa Trembly, 1/15
Spring Hill, KS
                    98400 (2.2)
$\dfrac{984}{1\%}$
Alyssa Trembly, 1/15
Spring Hill, KS
                    100800 (3.4)
$\dfrac{(8 - 1)!}{(9 - 4)\%}$
Junjie Mao, 7/12
Lawrence, KS
                118098 (3.0)
$18 \times 9^4$
Deborah Kangas, 4/14
Lenexa, KS
   
                    157500 (5.4)
$\dfrac{ {}_9 C_4}{8\% \times 1\%}$
Luke Sauvadon, 7/12
Lawrence, KS
                  201599 (3.2)
$(9 - 4) \times 8! - 1$
Cooper Krause, 7/12
Lawrence, KS
 
          322535 (3.6)
$9! - 8! - 4! - 1$
Andrew Mohr, 7/12
Lawrence, KS
         
        322574 (3.4)
$9! - 8! + 14$
Cooper Krause, 7/12
Lawrence, KS
           
  363361 (3.2)
$9! + 481$
Hannah Maleki, 9/15
Overland Park, KS
                 
        403214 (3.4)
$9! + 8! + 14$
Long Zhang, 7/12
Lawrence, KS
           
                    504300 (3.6)
$\dfrac{8! + 4!}{(9 - 1)\%}$
Junjie Mao, 7/12
Lawrence, KS
        589824 (3.0)
$4^8 \times 9 \times 1$
Chryspus Muema, 3/16
Olathe, KS
           
                    655300 (3.2)
$\dfrac{9^4 - 8}{1\%}$
Junjie Mao, 7/12
Lawrence, KS
                    819200 (3.2)
$\dfrac{4^8}{(9 - 1)\%}$
Junjie Mao, 7/12
Lawrence, KS
            1048576 (3.0)
$(8 - 4)^{9 + 1}$
Javion Grant, 7/14
Kansas City, KS
       
                    1451520 (3.2)
$8! \times 9 \times 4 \times 1$
Long Zhang, 7/12
Lawrence, KS
          1953125 (3.0)
$(9 - 4)^{8 + 1}$
Javion Grant, 7/14
Kansas City, KS
         
    2097152 (3.0)
$4^9 \times 8 \times 1$
Chryspus Muema, 3/16
Olathe, KS
               
            2359296 (3.0)
$4^{1+8} \times 9$
Hannah Maleki, 9/15
Overland Park, KS
       
                  4782969 (3.0)
$\dfrac{81^4}{9}$
Chelsea Kiddle, 8/12
Leawood, KS
 
            5963776 (3.0)
$4^8 \times 91$
Kashmira Sayani, 3/17
Overland Park, KS
       
                    9273600 (3.6)
$(9! + 8!) \times (4! - 1)$
Adam Shafton, 3/16
Overland Park, KS
                    9676800 (3.6)
$(9! + 8!) \times 4! \times 1$
Adam Shafton, 3/16
Overland Park, KS
                    10080000 (3.6)
$(9! + 8!) \times (4! + 1)$
Adam Shafton, 3/16
Overland Park, KS
                    25401600 (5.2)
$9! \times {}_8 C_4 \times 1$
Luke Sauvadon, 7/12
Lawrence, KS
    33554432 (3.0)
$\dfrac{8^9}{4 \times 1}$
Obada Albadawi, 3/16
Overland Park, KS
               
  43046721 (3.0)
$9^8 \times 1^4$
Chryspus Muema, 3/16
Olathe, KS
        43046726 (3.0)
$9^8 + 4 + 1$
Ben Kerkhoff, 7/12
Lawrence, KS
       
                    62742240 (3.0)
$89^4 - 1$
Xinpei Zhao, 7/12
Lawrence, KS
  62742241 (3.0)
$89^4 \times 1$
Xinpei Zhao, 7/12
Lawrence, KS
62742242 (3.0)
$89^4 + 1$
Xinpei Zhao, 7/12
Lawrence, KS
               
        134217724 (3.0)
$8^9 - 4 \times 1$
Ben Kerkhoff, 7/12
Lawrence, KS
134217725 (3.0)
$8^9 - 4 + 1$
Ben Kerkhoff, 7/12
Lawrence, KS
    134217728 (3.0)
$8^9 \times 1^4$
Chryspus Muema, 3/16
Olathe, KS
134217729 (3.4)
$8^9 + 1^4$
Junjie Mao, 7/12
Lawrence, KS
 
  134217731 (3.0)
$8^9 + 4 - 1$
Hannah Maleki, 9/15
Overland Park, KS
134217732 (3.0)
$8^9 + 4 \times 1$
Ben Kerkhoff, 7/12
Lawrence, KS
               
                161414428 (3.0)
$(8 - 1)^9 \times 4$
Obada Albadawi, 3/16
Overland Park, KS
   
        172186884 (3.0)
$9^8 \times 4 \times 1$
Chryspus Muema, 3/16
Olathe, KS
           
  1275989841 (3.0)
$189^4$
Deborah Kangas, 4/14
Lenexa, KS
                 
            1536953616 (3.0)
$198^4$
Deborah Kangas, 4/14
Lenexa, KS
       
                    3657830400 (3.8)
$.1 \times \dfrac{9!}{.4} \times 8!$
Jason Cosentino, 7/12
Lawrence, KS
    49589822592 (3.0)
$\dfrac{18^9}{4}$
Obada Albadawi, 3/16
Overland Park, KS
               

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