Nice one. No rounding either (rules are in a link above).
Here is a legal solution:
13 = 2 + 0! + 1 + 9
M57 wrote:OK then - no extra numbers necessary..
13 = ln ((2+0)^19) RND
Why round when you can floor it.
Pratik wrote:M57 wrote:OK then - no extra numbers necessary..
13 = ln ((2+0)^19) RND
Why round when you can floor it.
watch out, the mathematicians' in the house!
15 = (2+0+1)! + 9
Still haven't found one for 14 (in order or out of order).
Found it!
14 = (2 + 0!)! - 1 + 9
Korrun wrote:15 = (2+0+1)! + 9
Still haven't found one for 14 (in order or out of order).
Found it!
14 = (2 + 0!)! - 1 + 9
Nice!
and then -
15 = (2+0+1)!+9
16 = (2 + 0!)! + 1 + 9
Or:
15 = (2! + 0! + 1!) - 9
17 too easy for you to bother?
17 = -2 + 0 + 19
18 = -2 + 0! + 19
19 = (2x0) + 19
Nope. Just to dumb to figure it out. :)
But here is the one i've been waiting for:
20 = (20!) / (19!)
and then
21 = 2 + 0 + 19
22 = 2 + 0! + 19
Another 20 = 2^0 + 19
23 = 20^1 + sqrt 9
24 = 20 +1 + sqrt 9
And now we have the much cleaner
13 = 2 + 0! + 1 + 9 and
13 = 2^(0!+1) + 9
25 = 20 - 1 + (sqrt 9)!
26 = 20 * 1 + (sqrt 9)!
27 = 20 + 1 + (sqrt 9)!
I love how you always leave an easy one for next.
28 = 20 - 1 + 9
..and two easy ones for me!
29 = 20(1) +9
30 = 20 + 1 + 9
Korrun wrote:I think it is because the radical symbol does not require a number to be written, but the exponent does.
Well then, that opens doors..
31 cents = (2 + 0) quarters - 19 pennies (US Currency)
32 = 2^(0! + 1 + SQRT 9)
33 = (2 + 0! + 1)! + 9
34°F = 2°F + (0 * 1 * 9)°C (scientific units of measurement)
35 oz = (2 + 0) c + 19 oz
36 points = (2 - 0!) touchdowns + (1 + 9) field goals . (US Footbal scoring)
M57 wrote:Korrun wrote:I think it is because the radical symbol does not require a number to be written, but the exponent does.
Well then, that opens doors..
31 cents = (2 + 0) quarters - 19 pennies (US Currency)
32 = 2^(0! + 1 + SQRT 9)
33 = (2 + 0! + 1)! + 9
34°F = 2°F + (0 * 1 * 9)°C (scientific units of measurement)
35 oz = (2 + 0) c + 19 oz
36 points = (2 - 0!) touchdowns + (1 + 9) field goals . (US Footbal scoring)
OK - football scoring is a pretty ridiculous stretch..
We should be able to get a lot of numbers by stretching the rules.. I propose we say that doing so allows us to continue to move forward - but with the proviso that those numbers don't really count and that we are looking to improve on them. for instance with..
36 = 9 * (0! + 2 + 1) OR
36 = 2 * 9 * (0! + 1)
which can be bettered with..
36 = 2 * (0! + 1) * 9 OR
36 = 2^(0! +1) * 9
As a former High School/Community College math teacher I have done these games quite a bit. I do resist using the sqrt because it feels a little cheesy. M57's use of units is pretty funny/cool/imaginative though -
And, damn, 37 is not coming easy to me -
Symbols are OK, huh?
Moving on and filling in the imaginative ones that don't count
9
31 = -2 + 𚺠(n-0!)
-1
_________________
9
34 = 𚺠n
(-2 - 0! - 1)
________________
9
37 = 0! + 𚺠(n - 1)
2
_________________
38 = (2 + 0) * 19
39 = 20 + 19 (whew!)
40 = 2 * (0! + 19)
_________________
12
41 = 𚺠n - 0!
9
_________________
12
42 = 𚺠n * 0!
9
_________________
12
43 = 𚺠n + 0!
9
________________
..and as long as (n = 1) is implied..
SQRT 9
44 = (-2) + 𚺠(n + 10)
I teach 6th grade math. I have to be imaginative.
No one is stopping me from using series? It's a pain to notate..
Let's make this easier and use the form (ðšº, a, b, c) where..
a = lower limit
b = upper limit
c = argument
so { ðšº, 1, 6, n+1} = 2 + 3 + 4 + 5 + 6 + 7 = 27
If only two terms are used, then it is assumed that the lower limit is 1 ..or is that stretching things too much because a number is implied? I believe it is standard nomenclature.
@Amidon37, You're gonna kick yourself. I just stumbled upon a simpler 37 for you - It's not in order but..
37 = 19 * 2 - 0!
45 = { ðšº, 2, 9 + 0!, n - 1 }
46 = |{ ðšº, -12, -9, n - 0! }|
47 = |{ ðšº, -9 * 0!, -1, n - 2 }|
48 = { ðšº, 1, 9, n } + 2 + 0!
49 = (9 - 2)(1 + 0!)
50 = { ðšº, 9 + 0!, 12, n }
51 = { ðšº, -2, 9 +1, n } - 0!
52 = { ðšº, -2 - 0!, 9, n + 1 }
53 = { ðšº, 9 + 0!, n } + (2 - 1)
54 = { ðšº, 1 - 2, 9 + 0!, n }
55 = { ðšº, 2 * 0, 9 + 1, n }
56 = |{ ðšº, -10, 1, n }| - 2
57 = {ðšº, 0, 9 + 1, n } + 2
58 = { ðšº, 9, n + 1 } + 2 + 0!
59 = 20 * SQRT 9 - 1
60 = 20 * SQRT 9 * 1
61 = 20 * SQRT 9 + 1
62 = 21 * SQRT 9 - 0!
63 = 21 * SQRT 9 + 0!
64 = (9 - 1)(2 + 0)
65 = (9 - 1)2 + 0!
66 = (21 + 0!) * SQRT 9
Why @Korrun? ..Why? ..Why?
Why did you do this to me?
67 = |{ ðšº, -9 - 2, -(0!), n}| + 1
68 = |{ ðšº, -10, SQRT 9, n - 2}|
69 = 90 - 21
70 = 9 - 2 * 10
71 = { ðšº, 9 - 1, 2n} - 0!
72 = { ðšº, 9 - 1, 2n} + 0
73 = { ðšº, 9 - 1, 2n} + 0!
Come on you guys! I can tell you that the vast majority of 80's 90's and aughts are quite easy and don't require the use of Sigma. Uhhm, and a summing calculator helps
I'm missing a few in the 70's though.
I know this is about math now, but belated happy new year to you all!