Is 1 + 10 equal to 9 in this group?

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Discussion Overview

The discussion revolves around the equation 1 + 10 = 9, exploring its validity under different mathematical contexts, including number systems and group theory. Participants engage in playful banter while also presenting serious mathematical constructs.

Discussion Character

  • Exploratory
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant states 1 + 10 = 9 and asks how this could be true.
  • Another participant suggests that the left-hand side (LHS) could be in octal while the right-hand side (RHS) is in decimal or hexadecimal.
  • A subsequent reply acknowledges the idea of different number systems but indicates that the original statement was intended as a joke.
  • Another participant humorously presents a claim about the letter X being equal to 2 times V, linking it to a playful interpretation of mathematical axioms.
  • One participant introduces modular arithmetic, stating that 11 = 9 (mod 2).
  • A final contribution presents a group G with a defined addition table, demonstrating that within this group, 1 + 10 = 9 holds true.

Areas of Agreement / Disagreement

Participants do not reach a consensus; various interpretations and playful assertions coexist without resolution. Some engage in humor while others present serious mathematical frameworks.

Contextual Notes

The discussion includes playful elements and serious mathematical constructs, with references to different number systems and group theory. The context of humor may affect the interpretation of the claims made.

Who May Find This Useful

Readers interested in playful mathematical discussions, number theory, and group theory may find this thread engaging.

mathmaniac1
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1+10=9

How?
 
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Re: New Theorem

mathmaniac said:
1+10=9

How?

LHS octal, RHS decimal or hexadecimal?
 
Re: New Theorem

Ackbach said:
LHS octal, RHS decimal or hexadecimal?

:confused:,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

I + X = IX
 
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 !
 
Last edited:
11=9 (mod 2)
 
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, $G=\mathbb Z/2\mathbb Z$.)
 

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