From the Math Forum


 

_________________________________________________
K-12 Math Puzzles || Ruth Carver's Home Page
_________________________________________________
 
Challenge: Using the digits in 1996 and any operations, try to write equations that have the numbers from 0 to 100 as the answer.

Winning the Spot: The answer for each number and the name of the first person to get it will be posted.

Example: For 1995, some possible equations were

The numbers need not be in order but in case of a tie, the person who got the answer without rearranging the digits or by using the least number of operations will win the spot.

Alternate Solutions and their authors will also be posted for answers with the digits in order and the least number of operations used.

Thanks to my friend and colleague, Dick Davies of Germantown Academy, for sharing this activity with me.

Submit An Answer:: If you think you have an equation that equals any of the numbers not yet answered, Send It In!

Answer          Equation                    Submitted by         
0 (9-9)/16
 (1*9-9)*6
 Niko Alejandre
 Brent Tworetzky
1 (9-9)*6+1
 1+(9-9)^6
 1^996
 199mod6
 Matt Breen
 Chrissy Seelaus
 Karthik Bala
 Mike Creveling
2 1+(sqrt 9+sqrt 9)/6
 1/9*sqrt 9*6
 Niko Alejandre
 Mitchell Beer
3 1(9+9)/6
 6/((9/9)+1)
 Chris Krug
 Louis Rubinfield
4 1^9+9-6
 1+(9+9)/6
 19-9-6
 Deborah Zickler
 Chris Krug
 Robin Damion
5 (9/9)*6-1
 -1(9/9)+6
 Chris Krug
 Richard Tapnio
6 1(9-9)+6
 1^99*6
 Rich Weber
 Craig Cramer
 Dean Tye & Mike K.
7 1+9-9+6
 (1*9)/9+6
 1^9^9+6
 Jon Goldberg
 Lauren Kupersmith
 Dean Tye & Mike K.
8 1+9/9+6 Valeria Kukla
9 1^96*9
 1*9/sqrt 9+6
 Danielle Ruppel
 Jeffrey Chang
10 19-sqrt 9-6 Mitchell Beer
11 9+9-6-1
 1/sqrt 9*6+9
 -1+9+9-6
 Michael Krueger & Mike Lavner
 Oak Hill Academy
 Richard Tapnio
12 1(9+9-6)
 1*9+9-6
 Fish & Doog
 TJ Jackson
13 1+9+9-6
 sqrt 1 +sqrt 9+sqrt 9+6
 Chris Goodchild
 Richard Tapnio
14 9+6-1^9
 -1+(sqrt (9*9))+6
 (-1)^9+9+6
 Jeffrey Chang
 Paul Seaton
 Erik DiGuilio
15 ((1+9)*9)/6 Mitchell Beer
16 1^9 +9+6
 19-9+6
 Harris Dainoff
 Robin Damion
17 6*9/sqrt 9-1
 -1+(sqrt 9)!+(sqrt 9)! +6
 Jeffrey Chang
 Kevin Lai
18 (9-6-1)9
 1*9+sqrt 9+6
 Fish & Doog
 Mitchell Beer
19 1+9/sqrt 9*6
 1+(sqrt 9)!+(sqrt 9)!+6 9)
 Jeffrey Chang
 Kevin Lai
20 (1+9)/sqrt 9*6 Jeffrey Chang
21 19+6/sqrt 9
 1*sqrt (9*9)-6
 Jeffrey Chang
 Shikha Bhan
22 19-sqrt 9+6
 19+9-6
 Mitchell Beer
 Robin Damion
23 9+9+6-1
 -1+9+9+6
 Edward Levinson
 Jared Schwennesen
24 (9-1)*(9-6)
 1(9+9)+6
 (1-9)(-9+6) & 1*9+9+6
 Deborah Zickler
 Lauren Hillman
 Brent Tworetzky
25 1+9+9+6 Matt Breen
26 (9-6)9-1
 (-1)^9+sqrt(sqrt(9^6))
 Fish & Doog
 Erik DiGuilio
27 1*9(9-6) Fish & Doog
28 (9-6)9+1
 19+sqrt 9+6
 Fish & Doog
 Mitchell Beer
29 -1-sqrt(9)!+(sqrt(9)!)*6
 sqrt(1+(sqrt(9)!!)/(sqrt(9)!)+6!)
 -1+sqrt(9)+sqrt((sqrt(9)^6))
 Sergey Markelov
30 (1+9)(9-6) Matt Breen,  Adam Hilton
31 96/sqrt 9-1
 1+sqrt 9+sqrt(sqrt(9^6))
 Oak Hill Academy
 Erik DiGuilio
32 96/sqrt 9*1
 -1+sqrt 9*9+6
 Oak Hill Academy
 Denis Denisenko
33 96/sqrt 9+1
 1*sqrt 9 *9+6
 Oak Hill Academy
 Zach Grabowski
34 19+9+6 Lauren Kupersmith
35 9*6-19
 -1+9+sqrt(sqrt(9^6))
 Oak Hill Academy
 Erik DiGuilio
36 (1-6+9)9
 (1+sqrt 9)(sqrt 9 +6)
 Fish & Doog
 Brent Tworetzsky
37 1+(sqrt 9)((sqrt 9)!+6) Brent Tworetzsky
38 99-61
 (19/sqrt 9)*6
 Dean Tye
 Nidhi Kohli & Samantha Levy
39 (9-1)*6-9
 (1+(sqrt9))!+9+6
 Oak Hill Academy
 Denis Denisenko
40 (6-1)!*sqrt 9/9
 1+sqrt 9+(sqrt9)!*6
 Robin Damion
 Denis Denisenko
41 -1+sqrt(9)!+(sqrt(9)!)*6 Sergey Markelov
42 (6+1)*(sqrt 9+sqrt 9)
 (1+sqrt 9+sqrt 9)*6
 Roger Day
 Gayle Chan
43 61-9-9
 1+(sqrt9)!+(sqrt9)!*6
 Richard Tapnio
 Denis Denisenko
44 6*9-9-1
 -1-9+(9*6)
 Fish & Doog
 Todd Nocella
45 6*9-9*1
 1*sqrt 9(9+6)
 Fish & Doog
 Denis Denisenko
46 6*9-9+1
 1+sqrt 9(9+6)
 Fish & Doog
 Denis Denisenko
47 9*6-(sqrt 9)!-1
 -1+9(sqrt9)!-6
 Roger Day
 Denis Denisenko
48 (1+sqrt 9)((sqrt 9)!+6) Brent Tworetzsky
49 61-9- sqrt 9
 1+9(sqrt9)!-6
 Roger Day,
 Oak Hill Academy
 Denis Denisenko
50 69-19
 (1+9)sqrt 9/.6
 Harris Dainoff
 Denis Denisenko
51 ((9*6)-sqrt 9)/1
 -(1*sqrt 9-9*6)
 19*sqrt 9-6
 Roger Day
 Jennifer Buxton
 David Hoel
52 1+9*6-sqrt 9
 -(-1+sqrt 9-9*6)
 Kate Sibel
 Jennifer Buxton
53 -1+sqrt 9*sqrt 9*6
 -1^9+9*6
 Brent Tworetzsky
 The Learning Kingdom
54 (1+6)*9-9
 1*sqrt 9*sqrt 9*6
 Mike Krueger
 Brent Tworetzky
55 9*6+1^9
 1^9+9*6
 1+(sqrt 9*sqrt 9*6)
 Richard Tapnio
 Dean Tye & Mike K.
 Brent Tworetzsky
56 9!/6!/9*1
 (1*9!/9)/6!
 Adam Hilton
 Brent Tworetzsky
57 19(9-6) Lauren Kupersmith
58 9*6+sqrt 9+1
 1+sqrt 9+9*6
 Roger Day
 Zach Riggin
59 69-9-1
 -1+9(sqrt9)!+6
 Richard Tapnio
 Denis Denisenko
60 (19-9)*6 Lauren Kupersmith
61 69-(9-1)
 1+9(sqrt9)!+6
 Richard Tapnio
 Denis Denisenko
62 9*6+9-1
 -1+9+9*6
 Eric Treffeisen, Brian Coombs
 Codi Williams
63 1*9+9*6 Jessie Anders
64 1+9+9*6 Fish & Doog
65 9*9-16 The Learning Kingdom
66 (9-1)*9-6
 (-1+9)*9-6
 Michael Stamm
 Dean Tye & Mike K.
67 61-sqrt 9+9 Mike & Ray Williams,
 Oak Hill Academy
68 69-1^9 The Learning Kingdom
69 (1+9)6+9 Fish & Doog
70 69+1^9
 (1+sqrt 9)^sqrt 9+6
 Deborah Zickler
 Denis Denisenko
71 (9+sqrt 9)*6-1
 (6!/9)-(1*9)
 sqrt(1+(9/9+6)!)
 Nick Canizares
 Craig Trachtenburg
 Denis Denisenko
72 9*(6+1)+9
 (1+sqrt 9)(sqrt 9*6)
 (9-1^6)*9
 Dean Tye & Mike K.
 Brent Tworetzsky
 Mike Krueger
73 19+(9*6) Lauren Kupersmith
74
 9*9-6-1
 -1+(9*9)-6
 Jennifer Kleiner, Mark Wakeman,
   & Jacquelyn Kunkel
 Dean Tye & Mike K.
75 1*9*9-6 Ben Haaz
76 1+(9*9)-6 Deborah Zickler
77 96-19
 -19+96
 Katie Gupton
 Erik DiGuillio & Robert Joyner
78 69+9*1
 (-1+9)*9+6
 Richard Tapnio
 Dean Tye & Mike K.
79 61+9+9 Deborah Zickler
80 9*9-1^6
 -1+sqrt 9*sqrt(sqrt(9^6))
 Brian Coombs
 Erik DiGulio
81 (9*9)*1^6
 1(9(sqrt 9 +6))
 Michael Beautyman
 Greg Mellor
82 1^6+(9x9)
 1+sqrt 9*sqrt(sqrt(9^6))
 Katie Sibel
 Erik DiGulio
83 99-16
 -1+9!/(sqrt9)!!/6
 Adam Hilton
 Denis Denisenko
84 (1+9)*9-6 Marian Ramirez
85 9*9+sqrt 16
 1+9!/(sqrt9)!!/6
 Josh Boehm
 Denis Denisenko
86 -1+9*9+6 Tracey Elliott
87 1*9*9+6 Carolyn Bedrosian
88 1+9*9+6 Rich Weber
89 1*9+(6!/9) Richard Tapnio
90 1+9+(6!/9) Richard Tapnio
91 91/Int(9/6)
 sqrt(91^(6/sqrt 9))
 1-(sqrt9)!+96
 Ron Gutmark
 Todd Nocella
 Denis Denisenko
92 99-6-1
 -1+99-6
 Leigh S.
 Adam Hilton
93 1*99-6 Lauren Kupersmith
94 1+99-6 Chris Cunningham
95 -1^9+96 Mike Creveling
96 9(1+9)+6
 (1+9)*9+6
 Brandon Fishman
 Dean Tye
97 9*9+16
 1^9+96
 Matt Breen
 The Learning Kingdom
98 99-1^6
 -1+sqrt 9+96
 Deborah Zickler
 Denis Denisenko
99 99/1^6
 1*sqrt 9+96
 Deborah Zickler
 Denis Denisenko
100 1^6+99
 1+sqrt 9+96
 Deborah Zickler
 Dan Smith

[Privacy Policy] [Terms of Use]

_____________________________________
Home || The Math Library || Quick Reference || Search || Help 
_____________________________________

© 1994-2014 Drexel University. All rights reserved.
http://mathforum.org/
The Math Forum is a research and educational enterprise of the Drexel University School of Education.The Math Forum is a research and educational enterprise of the Drexel University School of Education.