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Post Post #17225 (ISO) » Tue Jun 22, 2021 8:24 am

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1*2

Some other arguments for base 16:
It's 1 more than a multiple of 5, so 1/5 is a single digit (.3) repeating, and you can sum the digits to check if a number is divisible by 5.
It's 1 more than a multiple of 3, so 1/3 is a single digit (.5) repeating, and you can sum the digits to check if a number is divisible by 3.
It's a power of 2, so dividing by and multiplying by 2 is way easier, and fractions involving powers of 2 are way easier.
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Post Post #17226 (ISO) » Tue Jun 22, 2021 8:28 am

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1+2
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Post Post #17227 (ISO) » Tue Jun 22, 2021 8:35 am

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-1+2+3
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Post Post #17228 (ISO) » Wed Jun 23, 2021 8:29 am

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Wow, this is the highest number we've gotten so far!
... It's also the lowest number we've gotten so far.
... and the least number-y number, which is surprising considering {{},{{}},{{},{{}}},{{},{{}},{{},{{}}}}}

1 * 2 + 3 = 5
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Post Post #17229 (ISO) » Wed Jun 23, 2021 8:36 am

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1 + 2 + 3 = 1 * 2 * 3 = 6
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Post Post #17230 (ISO) » Wed Jun 23, 2021 8:41 am

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1 + (2 * 3) = 7
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Post Post #17231 (ISO) » Wed Jun 23, 2021 8:41 am

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1*2^3
In post 17228, Zyla wrote:
Wow, this is the highest number we've gotten so far!
... It's also the lowest number we've gotten so far.
... and the least number-y number, which is surprising considering {{},{{}},{{},{{}}},{{},{{}},{{},{{}}}}}

1 * 2 + 3 = 5
Hey you may not like it but that set is what the natural number 4 truly is. Most people work around it and just call it "4" without bothering to ask what 4 means. Well {{},{{}},{{},{{}}},{{},{{}},{{},{{}}}}} is what it means. (Well, that's what it means when it's a natural number. If it's an integer it means the ordered pair (4,+). If it's a rational it means the equivalence class of all ordered pairs of integers (a,b) such that 4a=b and b != 0. If it's a real number it means the partition of the rationals into numbers less than 4 and numbers greater than or equal to 4. But here we're counting using rationals so 4 means {{},{{}},{{},{{}}},{{},{{}},{{},{{}}}}}.)
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Post Post #17232 (ISO) » Wed Jun 23, 2021 8:49 am

Post by Ythan »

1+2^3
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Post Post #17233 (ISO) » Wed Jun 23, 2021 8:55 am

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1+2+3+4
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Post Post #17234 (ISO) » Wed Jun 23, 2021 9:00 am

Post by Ythan »

1-2+3*4
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Post Post #17235 (ISO) » Wed Jun 23, 2021 9:04 am

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(-1+2)*3*4
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Post Post #17236 (ISO) » Wed Jun 23, 2021 9:09 am

Post by Ythan »

-1+2+3*4
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Post Post #17237 (ISO) » Wed Jun 23, 2021 9:11 am

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1*2+3*4
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Post Post #17238 (ISO) » Wed Jun 23, 2021 9:13 am

Post by Ythan »

1+2+3*4
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Post Post #17239 (ISO) » Wed Jun 23, 2021 9:16 am

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(1-2+3)^4
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Post Post #17240 (ISO) » Wed Jun 23, 2021 10:41 am

Post by Jake The Wolfie »

17
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Post Post #17241 (ISO) » Wed Jun 23, 2021 11:11 am

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(1+2)*3+4+5
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Post Post #17242 (ISO) » Thu Jun 24, 2021 9:00 am

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19
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Post Post #17243 (ISO) » Thu Jun 24, 2021 9:20 am

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(1 + 2) - 3 + 4 * 5 = 20
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Post Post #17244 (ISO) » Thu Jun 24, 2021 9:21 am

Post by Jake The Wolfie »

21
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Post Post #17245 (ISO) » Thu Jun 24, 2021 9:24 am

Post by Ythan »

1 - 2 + 3 + 4 * 5
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Post Post #17246 (ISO) » Thu Jun 24, 2021 9:25 am

Post by Jake The Wolfie »

23
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Post Post #17247 (ISO) » Thu Jun 24, 2021 9:29 am

Post by Ythan »

-1 + 2 + 3 + 4 * 5
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Post Post #17248 (ISO) » Thu Jun 24, 2021 10:10 am

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1 + (2 * 3 * 4) = 25
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Post Post #17249 (ISO) » Thu Jun 24, 2021 11:03 am

Post by Ythan »

1 * 2 + 3! * 4
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