Fun with numbers

[Mosh]

So last night I had the number "2122" stuck in my head. I didn't know where it was from so I tried to figure it out. When I couldn't I started playing with it in my head and I discovered this. I'm sure there's a name for this but whatever.. I'm calling it Mosh's Number Theorem. It's pretty cool.

Take 2 sequential numbers and put them side by side.
189 190 -> 189190
Add the 2 numbers up.
189+190=379
Now add up the individual numbers of the result.
3+7+9=19
And keep repeating this til you have a single digit number.
1+9=10
1+0=1

Now, add up your original numbers, number by number.
1+8+9+1+9+0=28
And again keep repeating til you have a single digit number.
2+8=10
1+0=1

Every single time you do this, the resulting number at the end will match.. no matter how big or how small the numbers are.


11 12 -> 1112
11+12+23
2+3=5

1+1+1+2=5


47389 47390 -> 4738947390
47389+47390=94779
9+4+7+7+9=36
3+6=9

4+7+3+8+9+4+7+3+9+0=54
5+4=9

This last example is freaky, becaaaaaause
47389+47390=94779
9+4+7+7+9=36
3+6=9

The 189 190 one is too
189+190=379
3+7+9=19
1+9=10
1+0=1


EDIT:
Holy crap I just realized something.

47389 47390 -> 4738947390
47389+47390=94779

94+77+9=180
1+8+0=9

9+47+79=135
1+3+5=9

947+79=1026
1+0+2+6=9

9477+9=9486
9+4+8+6=27
2+7=9

Now reverse the number. 94779 -> 97749
977+49=1026
1+0+2+6=9

97+74+9=180
1+8+0=9

9774+9=9783
9+7+8+3=27
2+7=9


I checked with the 189 190 one and the same principles apply. @.@

[Mateuns]

wtf

[Kirakun]

http://www.imdb.com/title/tt0481369/

[RedIce]

Commutative property

[Mosh]

Dude after seeing that movie I saw 23 EVERYWHERE... in fact hey look.. my original number (21 22).. what comes after 22?

...but I haven't watched that movie in probably 4 months or so...

...though I was watching an episode of NCIS with cryptology focus when I thought of it...


http://en.wikipedia.org/wiki/Commutative_property explains the second half but not the first half.. so I guess the first part still needs a name. Mosh's Number Theorem has a nice ring to it. MNT.. like MIT but not. It'll be a household name in a year

[RedIce]

#12345
12345, 12346
1234512346, 24691
(1+1)+(2+2)+(3+3)+(4+4)+(5+6), (2)+(4)+(6)+(9)+(1)
(2)+(4)+(6)+(8+11), (2)+(4)+(6)+(9+1)
(2)+(4)+(6)+(19), (2)+(4)+(6)+(1+9)

Don't think I have to simplify it anymore for it to be obvious. All you're doing is adding the same #s in different orders. Since you're only adding digits of the same '10s' value the addition of the two numbers becomes simply, (1+1)+(2+2)+(3+3)+(4+4)+(5+6). And how does normal addition work? 12345+12346 would be... (5+6)+(4+4)+(3+3)+(2+2)+(1+1) if you're disregarding their '10s' value which is what you're doing when you "add up the individual numbers of the result".

Hmm let's apply this 'theorem' with any two random numbers.

15478 and 97841

1547897841, 113319
1+5+4+7+8+9+7+8+4+1, 1+1+3+3+1+9
54, 18
9, 9

God I'm a genius.

15478 and 97841
1547897841, (1+9)+(5+7)+(4+8)+(7+4)+(8+1)
(1+9)+(5+7)+(4+8)+(7+4)+(8+1), (1+9)+(5+7)+(4+8)+(7+4)+(8+1)

Wow that looks familiar, no wonder they're equal.

[Mateuns]

red ya jerk

i see your point though, this whole thing is basically another way of using the commutative property.

[RedIce]

I know I am but what are you?

..wait.

[Mateuns]

not a jerk

[Cett]