Here is a cracker from a few years back. Have fun.:DQuote:
Use exactly four 9s and any number of arithmathic or higher level math operations to make numbers from 1 to 20.
Example
1=(9+9)/(9+9)
7=(9+9+sqrt9)/(sqrt9)
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Here is a cracker from a few years back. Have fun.:DQuote:
Use exactly four 9s and any number of arithmathic or higher level math operations to make numbers from 1 to 20.
Example
1=(9+9)/(9+9)
7=(9+9+sqrt9)/(sqrt9)
Can't.......got a headache Wongo.......and I will have until you post the answer
1 = (9+9) / (9+9) ..................................18 / 18 = 1
2 = (sqrt9 * sqrt9 + 9) / 9 ................................18/9 = 2
3 = (9+9+9) / 9 .................................27 / 9 = 3
4 = (sqrt9 * 9 +9) /9.....................36/9 = 4
5
6 = sqrt9 ((9+9) / 9)............................ 3 * 18/9 = 6
7 =(9+9+sqrt9)/(sqrt9)............................ 21/3 = 7
8 = (9 squared - 9) / sqrt9 * sqrt9...........................72/9 = 8
9 = (((9*9) / sqrt9) /sqrt9)..........................81 / 3 / 3 = 27/3 = 9
10 =( sqrt9 * 9 + sqrt9) /sqrt9.............................30 / 3 = 10
11 = (9 squared + 9 + 9 ) / 9.....................99/9 = 11
12 = sqrt9 + sqrt9 +sqrt9 +sqrt9...................3+3+3+3 = 12
13
14 = (9 squared + sqrt9) / (sqrt9 + sqrt9 )......................(81 + 3) / 6 =
15 = sqrt 9 * 9 - sqrt 9 - 9...................3*9 -12 = 15
16
17
18 = sqrt 9 * sqrt9 + sqrt9 *sqrt9...................9+9 = 18
19
20
i'll do the rest later:rolleyes::2tsup:. its to late to think lol:cool:
.Quote:
Originally Posted by ss_11000
geez, some of them ^^^ are overly complicated.
eg. 2
9/9 + 9/9 = 1+1 = 2
no wonder my head hurts lol:duh:
The "9 squared" bit is a bit dodgy.
What's next 9 thirded, 9 tripled or 9 minus five times four ?? :D
Wongo, please do not peddle this #$%^& as it will give everyone a doody of a headache (Except Sheddie):q
It's fun. Stirlo is enjoying it.:U
why???Quote:
Originally Posted by Wongo
it works:cool: and thats all that matters:D
9-9+9²/9=9
No it doesn't grasshopper. 9 squared is not the math operation we want here. It is 9 to the power of 2 (we don't want the 2 here) unless you can find a symbol that does that (for example square root):cool:Quote:
Originally Posted by ss_11000
See.:D
Wax on wax off....:p
Quote:
Originally Posted by Gingermick
Only 9s and symbols sir.
Some limited help :rolleyes:Quote:
Originally Posted by ss_11000
Anywhere you used 9-squared, just replace it with (9*9).
but then i might use two many 9's.:cool:Quote:
Originally Posted by Ron Dunn
i see your point now scott...does seem like cheating lol:D
9 + (9 + 9 ) / 9 = 11...ashore, this one doesnt work:?:cool:
.Quote:
Originally Posted by ss_11000
3 left
Why not?Quote:
Originally Posted by ss_11000
Only 4 left guys.
13
14
16
20
9 + (9 + 9 ) / 9 = 11...Quote:
Originally Posted by Wongo
9 + 18 / 9 = 27/9 = 3
:?:?:?
9 + (9 + 9 ) / 9 = 11
9 + (18) / 9
9 + 2 = 11
What is rule #1 in Arithmetic?
Oh dear...:D
:duh::duh::duh:Quote:
Originally Posted by Wongo
forget i sed anything would ya:-:doh:
A late start but.....
9 + 9/9 + Square root of 9 = 13
Only 3 left
14
16
20
....hard aren't they??
( 9 + 6 ) - 9/9 = 14
( 9 + 6 ) + 9/9 = 16
( 9 + 9 ) + ( 6/sqrt9 ) = 20
you sod wongo I was trying to do my tax today this was the last thing I needed , had to take one of the grandsons for a walk after tea to look at it from out of the box , I take it upside down 9's are ok :U
hey wongy:cool:
is this allowed 14 = 99/9 +sqrt9 ??????????????
there's four nines:D
If upside down 9's arn't then that is
Good one Stirlo :2tsup:
as would be 99/9 + 9 = 20
still leaves 16 though
If 99 isn't allowed:
(((Square root 9)! x 9) + (Square root 9)!)/Square root 9 = 20
greg
9 + (square root 9)! + 9/9 = 16
greg
Sorry children
No 99, no 6. Just 9.
Greg, I like your approach.:2tsup: It is different from my way but I like it. You got game mate. 16 works but not 20.
2 left...
14
20
let's see.
(square root9)! = 6
6 x 9 =54
54 + (square root 9)! = 60
60/ (Square root 9) = 20
Why doesn't this work?
Greg
9 + (Square root 9)! - 9/9 = 14
Now Wongo..... I've showed you mine, you've got to show yours.....
Greg
Sorry Greg, there were too many (((((( and I read it wrong. 20 works now. :2tsup: My bad.:D
Well done
:fireworks:
Still want to see your method Wongo, to see what you do here.
Thanks
Greg
good work wongy, greg and russel:2tsup:
Please be Gentle with me......Quote:
Originally Posted by Greg Ward
OK!
9 = 9,
and
9/9 = 1,
but WTH!!!:?
(Sq Rt 9)!.......Isn't that 3, NOT 6????? Please Explain
n! = n * n-1 * n-2 * n-3 * ....* 1
for example
4! = 4 * 3 * 2 * 1
1! = 1
By definition 0! = 1
9 + (square root 9)! + 9/9
= 9 + 3! + 9/9
= 9 + 6 + 1
=16
Interesting. I can do 21 and 22, can you?:D
No takers? Actually, once you have got the idea it becomes almost mundane up to 64. 65 is a bit challenging and now I am stuck at 67. Think I will go back to woodworking. Anybody out there more determined than I am? :oo:
I can do 6561 can you?:rolleyes:
:D
Wow, that was tough! It took me all night, but I finally cracked it!:UQuote:
Originally Posted by Wongo
I still haven't cracked 67 though... does anybody know whether it is even possible?