### Ruth Carver's

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

0 = 1*(9-9)*5
2 = (19-9)/5
etc.

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!

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
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))
Erik DiGuilio
32 96/sqrt 9*1
-1+sqrt 9*9+6
Denis Denisenko
33 96/sqrt 9+1
1*sqrt 9 *9+6
Zach Grabowski
34 19+9+6 Lauren Kupersmith
35 9*6-19
-1+9+sqrt(sqrt(9^6))
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
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,
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!
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,
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
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.
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