4=3 True or False? Check it out and guess where's the mistake

  • Thread starter Thread starter kthouz
  • Start date Start date
  • Tags Tags
    Mistake
AI Thread Summary
The discussion centers around a mathematical error involving the equation a + b = c, which is manipulated to incorrectly conclude that 4 = 3. The mistake arises when participants attempt to divide by (a + b - c), which equals zero in this context. This highlights the critical principle that dividing by zero is not permissible in algebra. The conversation also references a common misconception among students who divide by a variable without considering its potential value of zero, exemplified by the equation x^2 = 4x. The consensus emphasizes the importance of understanding that division by zero leads to invalid conclusions, reinforcing a foundational rule in mathematics.
kthouz
Messages
188
Reaction score
0
Let say that a+b=c
this can be writtem as
4a-3a+4b-3b=4c-3c
by arranging
4a+4b-4c=3a+3b-3c
taking out the constants
4*(a+b-c)=3*(a+b-c)
So 4=3



The mistake is that ... I'll post it soon. i read this from a notebook of my little brother and i firstly agreed to it but by the time i found out why not! Test your knowledge too.
 
Physics news on Phys.org
You divide by zero in the last step.
 
Last edited:
what he said ^
 
kthouz said:
4*(a+b-c)=3*(a+b-c)
So 4=3

You can't divide by a+b-c since a+b=c (i.e. a+b-c=0)...
 
Cool! you got it!
the trick was to know that dividing by zero is impossible.
 
Last edited:
I remember my dad showed it to me when I was in 5th or 6t grade. It stumped me, and I showed it to my Math teacher at school who explained the 11th Commandment to me: "You shall never divide by Zero"
 
kthouz said:
Let say that a+b=c
this can be writtem as
4a-3a+4b-3b=4c-3c
by arranging
4a+4b-4c=3a+3b-3c
taking out the constants
4*(a+b-c)=3*(a+b-c)
So 4=3



The mistake is that ... I'll post it soon. i read this from a notebook of my little brother and i firstly agreed to it but by the time i found out why not! Test your knowledge too.

This is exactly why you never ever divide by a variable. It is horrendous algebra.


x^2=4x


What is x?

75% of students will divide by x and say x=4.
 
Well they're half-right.
 
gravenewworld said:
This is exactly why you never ever divide by a variable. It is horrendous algebra.


x^2=4x


What is x?

75% of students will divide by x and say x=4.

Then those 75% should always remember that you can only divide by something only if it is not equal to zero!
 

Similar threads

Replies
17
Views
2K
Replies
2
Views
1K
Replies
6
Views
2K
Replies
4
Views
2K
Replies
4
Views
2K
Replies
3
Views
2K
Replies
5
Views
4K
Back
Top