MHB Is 1 + 10 equal to 9 in this group?

[mathmaniac1]

1+10=9

How?

 

[Ackbach]

Re: New Theorem

1+10=9

How?

LHS octal, RHS decimal or hexadecimal?

 

[mathmaniac1]

Re: New Theorem

LHS octal, RHS decimal or hexadecimal?

,what do you mean?

Oh you mean different number systems?Clever!

Since this is a chat room and this topic was nothing but a joke,I was just joking...Here is the answer

Spoiler

I + X = IX

 

[mathbalarka]

Re: New Theorem

Nice, mathmaniac! (Giggle)

Here's mine : X can be cut down from the middle and separate the upper V and the lower V. Hence, X = 2 * V. Now, we see that it is an universal truth and consistent with any other mathematical axioms in Rome : 10 = 2 * 5 !

 

[ModusPonens]

11=9 (mod 2)

 

[I like Serena]

Let G be the group ({1,9,10},+) with the following addition table.

[TABLE="class: grid, width: 50"]
[TR]
[TD="align: center"]+[/TD]
[TD="align: center"]1[/TD]
[TD="align: center"]9[/TD]
[TD="align: center"]10[/TD]
[/TR]
[TR]
[TD="align: center"]1[/TD]
[TD="align: center"]10[/TD]
[TD="align: center"]1[/TD]
[TD="align: center"]9[/TD]
[/TR]
[TR]
[TD="align: center"]9[/TD]
[TD="align: center"]1[/TD]
[TD="align: center"]9[/TD]
[TD="align: center"]10[/TD]
[/TR]
[TR]
[TD="align: center"]10[/TD]
[TD="align: center"]9[/TD]
[TD="align: center"]10[/TD]
[TD="align: center"]1[/TD]
[/TR]
[/TABLE]

Then $1+10=9. \qquad \blacksquare$

(Or alternatively, $G=\mathbb Z/2\mathbb Z$.)