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This Web page is intended to record solutions submitted by students in
grades three through twelve.
Submissions will be posted starting February 1, 2003.
Rules: use the digits in the year 2003 and the operations of +, -, x, ÷, sqrt (square root), ^ (raise to a power), and ! (factorial), along with grouping symbols, to write expressions for the counting numbers 1 through 100. Please read and follow the rules carefully. Teachers may print out worksheets for students to record their findings, or print sheets of manipulatives for students to use.
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| Solution | Name | Grade | School | |
| 41 | ||||
| (0!/.2)!/3+0! | Uroö Droftina | 10 | Gimnazija Beûigrad, Slovenia | |
| (0!/.2)!/3 +0! | Lisa Gardner | 7 | Lincoln Middle School | |
| (0! / .2)! / 3 + 0! | Low Ing Cher Kenneth | 9 | The Chinese High School, Singapore | |
| (0!/.2)!/3+0! | Ronald Lim | 9 | The Chinese High School | |
| [(0!/.2)!]/3 + 0! | Koh Chao Rong | 9 | The Chinese High School | |
| (0!/.2)!/3+0! | Low Wen Xi | 9 | The Chinese High School | |
| (0!/.2)!/3+0! | Ong Yan Zhi | 9 | The Chinese High School | |
| 42 | ||||
| (2+0!)!x(3!+0!) | Christoph Bergemann | 12 | Christianeum | |
| (3!)X((2+0!)!+0!) | Sylvia B | 6 | Parker Middle School | |
| (3!)x((2+0!)!+0!) | Emily Fraser | 6 | Johnson Middle School | |
| (3!+0!) (0!+2)! | Lisa Gardner | 7 | Lincoln Middle School | |
| (3! + 0!) X (2+0!)! | Low Ing Cher Kenneth | 9 | The Chinese High School, Singapore | |
| (3!+0!)*(2+0!)! | Ronald Lim | 9 | The Chinese High School | |
| 3!*((2+0!)!+0!) (0!+2!)!*(3!+0!) |
Oszkár Mihály | 10 | SZTE Ságvári Endre Gyakorló Gimn. | |
| (2!+0!)!(3!+0!) | Jose Reyes | 10 | Indio High School | |
| (2 + 0!)! x (3! + 0!) | Koh Chao Rong | 9 | The Chinese High School | |
| [(2+0!)!+0!]*3! | Lim Ming Swin | 9 | The Chinese High School | |
| 3!*[(2+0!)!+0!] | Low Wen Xi | 9 | The Chinese High School | |
| (3!+0!)((2+0!)!) | Ong Yan Zhi | 9 | The Chinese High School | |
| 43 | No solutions have been submitted for this number. | |||
| 44 | ||||
| (3+0!)!+20 | Sylvia B | 6 | Parker Middle School | |
| 20+(3+0!)! | Uroö Droftina | 10 | Gimnazija Beûigrad, Slovenia | |
| (3+0!)!+20 | Crystal F. | 6 | Parker Middle School | |
| (0!/.02)-3! | Lisa Gardner | 7 | Lincoln Middle School | |
| 20+(3+0!)! | Amanda G. | 6 | Parker Middle School | |
| (3+0!)!+20 | Ong Zhen Iang | 9 | The Chinese High School | |
| (3+0!)!+20 | Sheldon Leong | 9 | The Chinese High School | |
| (0!/.02)-3! | Koh Chao Rong | 9 | The Chinese High School | |
| (3+0!)!+20 | Christopher Seah | 8 | The Chinese High School, Singapore | |
| 20+[(3+0!)!] | Bridget Sheppard | 6 | Johnson Middle School | |
| (3+0!)!+20 | Lim Ming Swin | 9 | The Chinese High School | |
| (3+0!)!+20 | John Woo | 9 | The Chinese High School | |
| 0!/.02-3! | Low Wen Xi | 9 | The Chinese High School | |
| (3+0!)!+20 | Sin Yong | 9 | The Chinese High School | |
| (3+0!)!+20 | Cai Yufeng | 2 | The Chinese High School | |
| (0!/.02)-3! | Ong Yan Zhi | 9 | The Chinese High School | |
| 45 | ||||
| 3^(0!+0!)/(.2) | Uroö Droftina | 10 | Gimnazija Beûigrad, Slovenia | |
| 3^(0!+0!)/.2 | Crystal F. | 6 | Parker Middle School | |
| (3^(0!+0!))/.2 | Lisa Gardner | 7 | Lincoln Middle School | |
| 3^(0!+0!) / .2 | Low Ing Cher Kenneth | 9 | The Chinese High School, Singapore | |
| 3^(0!+0!)/.2 | Ronald Lim | 9 | The Chinese High School | |
| (3^(0!+0!))/.2 | Adam Riegel | 6 | Johnson Middle School | |
| [3^(0!+0!)] /.2 | Koh Chao Rong | 9 | The Chinese High School | |
| 3^(0!+0!)/.2 | Low Wen Xi | 9 | The Chinese High School | |
| (3^(0!+0!))/.2 | Ong Yan Zhi | 9 | The Chinese High School | |
| 46 | ||||
| (0!+0!)x(23) | Dary Berke | 12 | Model Secondary School for the Deaf | |
| (0!+0!)x23 | Devon Black | 6 | Johnson Middle School | |
| 23X(0!+0!) | Sylvia B | 6 | Parker Middle School | |
| 23*(0!+0!) | Lionel Chen | 8 | The Chinese High School | |
| 23x(0!+0!) | James DeCelle | 6 | Johnson Middle School | |
| 23*(0!+0!) | Uroö Droftina | 10 | Gimnazija Beûigrad, Slovenia | |
| 23x(0!+0!) | Cabell Edmunds | 6 | Pocahontas Middle School | |
| 23(0!+0!) | Cabell E. | 6 | Pocahontas Middle School | |
| 23x(0!+0!) | Michelle Foley | 6 | Pocahontas Middle School | |
| 23*(0!+0!) | Crystal F. | 6 | Parker Middle School | |
| 23*(0!+0!) | Lisa Gardner | 7 | Lincoln Middle School | |
| 23x(0!+0!) | Rebecca George | 6 | Pocahontas Middle School | |
| 23x(0!+0!) | Jen Herrmann | 6 | Johnson Middle School | |
| 23x[0!+0!] | Jenny Hume | 7 | The International School of Toulouse | |
| 23x(0!+0!) | Ong Zhen Iang | 9 | The Chinese High School | |
| 23x((0!)+(0!)) | Peter Katsaros | 6 | Johnson Middle School | |
| 23 X (0!+0!) | Low Ing Cher Kenneth | 9 | The Chinese High School, Singapore | |
| 23*(0!+0!) | Sheldon Leong | 9 | The Chinese High School | |
| 23*(0!+0!) | Ronald Lim | 9 | The Chinese High School | |
| 23(0!+0!) | Zaira Lopez | 9 | Indio High School | |
| 23 x (0! + 0!) | Tan Kian Loong Melvin | 9 | The Chinese High School (Singapore) | |
| 23*(0!+0!) | Oszkár Mihály | 10 | SZTE Ságvári Endre Gyakorló Gimn. | |
| 23(0! + 0!) | Tok Wei Min | 7 | The Chinese High School | |
| 23x(0!+0!) | Andrew Peaden | 6 | Pocahontas Middle School | |
| 23 x (0! +0!) | Koh Chao Rong | 9 | The Chinese High School | |
| 23x(0!+0!) | Bridget Sheppard | 6 | Johnson Middle School | |
| 23*(0!+0!) | Lim Ming Swin | 9 | The Chinese High School | |
| 23x(0!+0!) | Jessica T | 6 | Pocahontas Middle School | |
| 23x(0!+0!) | John Woo | 9 | The Chinese High School | |
| 23*(0!+0!) | Low Wen Xi | 9 | The Chinese High School | |
| 23*(0!+0!) | Sin Yong | 9 | The Chinese High School | |
| 23*(0!+0!) | Cai Yufeng | 2 | The Chinese High School | |
| 23(0!+0!) | Ong Yan Zhi | 9 | The Chinese High School | |
| 23(0!+0!) | Tadeja | 4 | Gimnazija Beûigrad (Slovenia) | |
| 47 | ||||
| 2x(3+0!)!-0! | Christoph Bergemann | 12 | Christianeum | |
| [(3+0!)!]x2-0! | Dary Berke | 12 | Model Secondary School for the Deaf | |
| (3+0!)!X2-0! | Sylvia B | 6 | Parker Middle School | |
| [(3+0!)!x2]-0! | Benjamin Danielsson | 5 | Community Park | |
| (3+0!)!*2-0! | Uroö Droftina | 10 | Gimnazija Beûigrad, Slovenia | |
| (0!/.02)-3 | Lisa Gardner | 7 | Lincoln Middle School | |
| (3+0!)!x2-0! | Jen Herrmann | 6 | Johnson Middle School | |
| (3+0!)!*2-0! | Michele Hughes | 8 | Mount Olive Middle School | |
| (3+0!)!x2-0! | Ong Zhen Iang | 9 | The Chinese High School | |
| (3+0!)! X 2 - 0! | Low Ing Cher Kenneth | 9 | The Chinese High School, Singapore | |
| (3+0!)!*2-0! | Ronald Lim | 9 | The Chinese High School | |
| (3+0!)!*2-0! | Anthony LiPetri | 8 | Mount Olive Middle School | |
| (3 + 0!)! x 2 - 0! | Tan Kian Loong Melvin | 9 | The Chinese High School (Singapore) | |
| 2((3 + 0!)!) - 0! | Tok Wei Min | 7 | The Chinese High School | |
| (3+0!)!*2-0! | Kevin O'Connell | 8 | Mount Olive Middle School | |
| (3+0!)!*2-0! | Elena Paskoska | 8 | Mount Olive Middle School | |
| (3 + 0!)! x 2 - 0! | Koh Chao Rong | 9 | The Chinese High School | |
| (3+0!)!*2-0! | Christopher Seah | 8 | The Chinese High School, Singapore | |
| [(3+0!)!]x2-0! | Bridget Sheppard | 6 | Johnson Middle School | |
| (3+0!)!*2-0! | Lim Ming Swin | 9 | The Chinese High School | |
| (3+0!)!*2-0! | Low Wen Xi | 9 | The Chinese High School | |
| (3+0!)!*2-0! | Sin Yong | 9 | The Chinese High School | |
| (3+0!)!*2-0! | Cai Yufeng | 2 | The Chinese High School | |
| (0!/.02)-3 (3+0!)!*2-0! |
Ong Yan Zhi | 9 | The Chinese High School | |
| 48 | ||||
| [3+(0^0)]!x2 | Philip Loh Zhi An | 7 | The Chinese High School, Singapore | |
| 2x(3+0!)!+0 2x(3+0!)!-0 |
Christoph Bergemann | 12 | Christianeum | |
| [(3+0!)!]x2+0 | Dary Berke | 12 | Model Secondary School for the Deaf | |
| (3+0!)!X2+0 | Sylvia B | 6 | Parker Middle School | |
| (3!+0!)^2-0! | Lionel Chen | 8 | The Chinese High School | |
| (3+0!)!*2-0 | Uroö Droftina | 10 | Gimnazija Beûigrad, Slovenia | |
| (3!+0!)^2-0! | Sara Duvall | 6 | Pocahontas Middle School | |
| (3+0!)!*2 | Crystal F. | 6 | Parker Middle School | |
| ((3+0!)!)2+0 | Lisa Gardner | 7 | Lincoln Middle School | |
| (3+0!)!x2+0 | Jen Herrmann | 6 | Johnson Middle School | |
| (3+0!)!*2+0 | Jordan Heymann | 8 | Mount Olive Middle School | |
| (3+0!)!x2+0 | Ong Zhen Iang | 9 | The Chinese High School | |
| (3+0^0)!*2 | Li Jiu | 9 | The Chinese High School | |
| (3+0!)! X 2 + 0 | Low Ing Cher Kenneth | 9 | The Chinese High School, Singapore | |
| (3!+0!)^2-0! | Sheldon Leong | 9 | The Chinese High School | |
| (3!+0!)^2-0! | Ronald Lim | 9 | The Chinese High School | |
| (3 + 0^0)! x 2 | Tan Kian Loong Melvin | 9 | The Chinese High School (Singapore) | |
| (3!+0!)^2-0! | Oszkár Mihály | 10 | SZTE Ságvári Endre Gyakorló Gimn. | |
| 2((3 + 0!)!) + 0 | Tok Wei Min | 7 | The Chinese High School | |
| 2[(3+0!)!]+0 | Benjamin Chow Jie Ming | 7 | The Chinese High | |
| (3+0!)!*2+0 | Kevin O'Connell | 8 | Mount Olive Middle School | |
| (3+0!)!*2+0 | Elena Paskoska | 8 | Mount Olive Middle School | |
| (3!-2!)!(0!+0!) | Jose Reyes | 10 | Indio High School | |
| (3 + 0!)! x 2 - 0 | Koh Chao Rong | 9 | The Chinese High School | |
| (3+0!)!*2+0 | Christopher Seah | 8 | The Chinese High School, Singapore | |
| [(3+0!)!]x2x0! | Bridget Sheppard | 6 | Johnson Middle School | |
| (3!+0!)^2-0! | Lim Ming Swin | 9 | The Chinese High School | |
| (0!+3!)^2-0! | Robert Velez | 9 | JATE Sagvari Endre Gyakorlo Gimnazium | |
| (3!-0!-0!)!x2! | John Woo | 9 | The Chinese High School | |
| (3!+0!)^2-0! | Low Wen Xi | 9 | The Chinese High School | |
| (3!+0!)^2-0! | Sin Yong | 9 | The Chinese High School | |
| (3+0!)!*2-0 | Cai Yufeng | 2 | The Chinese High School | |
| (3+0!)!*2+0 | Ong Yan Zhi | 9 | The Chinese High School | |
| (0!+3)!X2+0 | Henry | 6 | Pocahontas Middle School | |
| 49 | ||||
| 2x(3+0!)!+0! | Christoph Bergemann | 12 | Christianeum | |
| [(3+0!)!]x2+0! | Dary Berke | 12 | Model Secondary School for the Deaf | |
| (3+0!)!X2+0! | Sylvia B | 6 | Parker Middle School | |
| (3!+0!)^2+0 | Lionel Chen | 8 | The Chinese High School | |
| (3+0!)!*2+0! | Uroö Droftina | 10 | Gimnazija Beûigrad, Slovenia | |
| (3!+0!)^2+0 | Sara Duvall | 6 | Pocahontas Middle School | |
| ((3+0!)!)2+0! ((3)!+0!+0)^2 |
Lisa Gardner | 7 | Lincoln Middle School | |
| (3!+0!+0)^2 | Amanda G. | 6 | Parker Middle School | |
| (3+0!)!x2+0! | Jen Herrmann | 6 | Johnson Middle School | |
| (3+0!)!*2+0! | Jordan Heymann | 8 | Mount Olive Middle School | |
| (3+0!)!x2+0! | Ong Zhen Iang | 9 | The Chinese High School | |
| (3!+0!)^2 + 0 | Low Ing Cher Kenneth | 9 | The Chinese High School, Singapore | |
| (3!+0!)^2-0 | Sheldon Leong | 9 | The Chinese High School | |
| (3!+0!)^2+0 | Ronald Lim | 9 | The Chinese High School | |
| (3! + 0!)^2 + 0 | Tan Kian Loong Melvin | 9 | The Chinese High School (Singapore) | |
| (3!+0!)^2*0! | Oszkár Mihály | 10 | SZTE Ságvári Endre Gyakorló Gimn. | |
| 2((3 + 0!)!) + 0! | Tok Wei Min | 7 | The Chinese High School | |
| (3+0!)!*2+0! | Kevin O'Connell | 8 | Mount Olive Middle School | |
| (3+0!)!*2+0! | Elena Paskoska | 8 | Mount Olive Middle School | |
| (3! + 0!)^2 + 0 | Koh Chao Rong | 9 | The Chinese High School | |
| (3+0!)!*2+0! | Christopher Seah | 8 | The Chinese High School, Singapore | |
| [(3+0!)!]x2+0! | Bridget Sheppard | 6 | Johnson Middle School | |
| (3!+0!)^2+0 | Lim Ming Swin | 9 | The Chinese High School | |
| (3!+0!+0)^2 | John Woo | 9 | The Chinese High School | |
| (3!+0!)^2+0 | Low Wen Xi | 9 | The Chinese High School | |
| (3!+0!)^2+0 | Sin Yong | 9 | The Chinese High School | |
| (3!+0!)^2+0 | Cai Yufeng | 2 | The Chinese High School | |
| (3+0!)!*2+0! | Ong Yan Zhi | 9 | The Chinese High School | |
| (0!+3)!X2+0! | Henry | 6 | Pocahontas Middle School | |
| 50 | ||||
| 30+20 | DobÛ Andr·s | 9 | S·gv·ri Endre Secondary School | |
| 30+20 | Frank Ashby | 6 | Pocahontas Middle School | |
| 30+20 | Eric Barton | 6 | Oak Knoll Middle School | |
| 20+30 | Christoph Bergemann | 12 | Christianeum | |
| 30+20 | Dary Berke | 12 | Model Secondary School for the Deaf | |
| 20+30 | Tyarah Best | 8 | Mount Olive Middle School | |
| 30+20 | Kelsey Bing | 6 | Pocahontas Middle School | |
| 20+30 | Spencer Bonnevie | 6 | Pocahontas Middle School | |
| 30+20 | Nick Brown | 6 | Oak Knoll Middle School | |
| 30+20 | Aaron B | 6 | Oak Knoll Middle School | |
| 20+30 | Sylvia B | 6 | Parker Middle School | |
| 30+20 | Dale Chang | 6 | Oak Knoll Middle School | |
| 20 + 30 | Ashli Charette | 8 | Mount Olive Middle School | |
| 20+30 | Lionel Chen | 8 | The Chinese High School | |
| 30+20 | Jacob Combee | 6 | Oak Knoll Middle School | |
| 30+20 | Caitlin Conahan | 8 | Mount Olive Middle School | |
| 20+30 | Michael Crawley | 6 | Pocahontas Middle School | |
| 30+20 | Melissa de Nijs | 6 | Pocahontas Middle School | |
| 30+20 | Uroö Droftina | 10 | Gimnazija Beûigrad, Slovenia | |
| (3!+0!)^2+0! | Sara Duvall | 6 | Pocahontas Middle School | |
| 20+30 | Dean Eliades | 6 | Pocahontas Middle School | |
| 20+30 | Nah Yu En | 7 | The Chinese High School | |
| 20+30 | Nicole Feldman | 8 | Mount Olive Middle School | |
| 20+30 | Michelle Foley | 6 | Pocahontas Middle School | |
| 30+20 | Blake Forlines | 6 | Pocahontas Middle School | |
| 30+20 | Crystal F. | 6 | Parker Middle School | |
| 20+30 (0^3)!/.02 sqrt((.02)^(0!-3)) |
Lisa Gardner | 7 | Lincoln Middle School | |
| 30+20 | Rebecca George | 6 | Pocahontas Middle School | |
| 30+20 | Joseph Green | 6 | Oak Knoll Middle School | |
| 30+20 | Franky Gydo | 6 | Pocahontas Middle School | |
| 30+20 | Amanda G. | 6 | Parker Middle School | |
| 30+20 | Jennifer Harrell | 6 | Pocahontas Middle School | |
| 30+20 | Jessica Herbert | 6 | Pocahontas Middle School | |
| 20+30 | Jen Herrmann | 6 | Johnson Middle School | |
| 30+20 | Laura Huxtable | 6 | Pocahontas Middle School | |
| (3!+0!)^2+0! | Lauren H | 6 | Pocahontas Middle School | |
| 30+20 | Vicente H | 9 | Indio High School | |
| (3!+0!)^2+0! | Ong Zhen Iang | 9 | The Chinese High School | |
| 30+20 | Mirnes Imsirovic | 8 | Mount Olive Middle School | |
| 30+20 | Yip Kang | 7 | The Chinese High School | |
| 30+20 | Peter Katsaros | 6 | Johnson Middle School | |
| 30 + 20 | Low Ing Cher Kenneth | 9 | The Chinese High School, Singapore | |
| 30+20 | Trey Kern | 6 | Pocahontas Middle School | |
| 20+30 | Yasmin Khataybeh | 6 | Pocahontas Middle School | |
| (3!+0!)^2+0! | Sheldon Leong | 9 | The Chinese High School | |
| 20+30 | Ronald Lim | 9 | The Chinese High School | |
| 30+20 | Tan Teck Leng Llywelyn | 3 | The Chinese High School | |
| 30+20 | Kirby Lorenzen | 6 | Pocahontas Middle School | |
| 30+20 | Lindsay Martin | 6 | Pocahontas Middle School | |
| 30+20 | Lauren McDaniel | 6 | Pocahontas Middle School | |
| 30+20 | Ariel McMillan | 6 | Pocahontas Middle Shcool | |
| 30 + 20 | Tan Kian Loong Melvin | 9 | The Chinese High School (Singapore) | |
| (3!+0!)^2+0! | Oszkár Mihály | 10 | SZTE Ságvári Endre Gyakorló Gimn. | |
| 20 + 30 | Tok Wei Min | 7 | The Chinese High School | |
| 30+20 | Heather Morrow | 11 | Brookstone | |
| 20+30 | Katherine Nelson | 6 | Pocahontas Middle School | |
| 30+20 | Matt Ogden | 7 | Dover Middle School | |
| 20+30 | Beth Olberding | 6 | Pocahontas Middle School | |
| 20+30 | Elena Paskoska | 8 | Mount Olive Middle School | |
| 30+20 | Andrew Peaden | 6 | Pocahontas Middle School | |
| 30+20 | David Polson | 6 | Oak Knoll Middle School | |
| 20+30 | Alex Ramirez | 6 | Pocahontas Middle School | |
| (3! + 0!)^2 + 0! | Koh Chao Rong | 9 | The Chinese High School | |
| 20+30 | Gautham R. | 6 | Pocahontas Middle School | |
| 20+ 30 | Zach Schwab | 6 | Pocahontas Middle School | |
| (3!+0!)^2+0! | Christopher Seah | 8 | The Chinese High School, Singapore | |
| 20+30 | Chew Chin Seng | 7 | The Chinese High School | |
| 20+30 | Ivan Lim Yi Sheng | 9 | The Chinese High School | |
| 20+30 | Bridget Sheppard | 6 | Johnson Middle School | |
| 30+20 | Jennifer A. Stephens-Sheard | 8 | Mount Olive Middle School | |
| 20 + 30 | Keith Sullivan | 12 | Saint Malachy's Memorial High School | |
| 20+30 | Lim Ming Swin | 9 | The Chinese High School | |
| 30+20 | Jay S | 11 | C. H. McCann Technical School | |
| 30+20 | Lincoln Tan | 7 | The Chinese High School | |
| 20+30 | Rachel Thomas | 6 | Pocahontas Middle School | |
| 20 + 30 | Kelsey Tomblin | 9 | Brookstone | |
| 30+20 | Jessica T | 6 | Pocahontas Middle School | |
| 20+30 (0!+3!)^2+0! |
Robert Velez | 9 | JATE Sagvari Endre Gyakorlo Gimnazium | |
| 30+20 | Low Wen Xi | 9 | The Chinese High School | |
| 30+20 | Sin Yong | 9 | The Chinese High School | |
| 30+20 | Cai Yufeng | 2 | The Chinese High School | |
| 20+30 | Ong Yan Zhi | 9 | The Chinese High School | |
| 20+30 | Anastasia Zhuravlyova | 8 | Mount Olive Middle School | |
| 30+20 | Ashley | 6 | Oak Knoll Middle School | |
| 20+30 | Charlotte | 1 | Pocahontas Middle School | |
| 30+20 | Kayla | 7 | South Middle School | |
| 30+20 | Sreeranjani | 12 | Atomic Energy Hr. Secondary School | |
| 30+20 | Tadeja | 4 | Gimnazija Beûigrad (Slovenia) | |
| 20+30 | Tommy Folliard and Parker Tuck | 6 | Pocahontas Middle School | |
| Solutions 1 to 10 | Solutions 11 to 20 | Solutions 21 to 30 |
| Solutions 31 to 40 | Solutions 51 to 60 | Solutions 61 to 70 |
| Solutions 71 to 80 | Solutions 81 to 90 | Solutions 91 to 100 |
Please notify Judy Ann Brown of any errors.
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