Thread: 6÷2(1+2) = ? View Single Post
April 28th, 2011, 09:47 PM   #61 (permalink)
DaSchmarotzer
Blame it on me

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Quote:
 Originally Posted by Vihzel Calculations: 6÷2(1+2) = 6÷2(3) = 3*3 = 9 This is right. 6÷2(1+2) = 6÷2(3) = 6÷6 = 1 Wrong. To "see" it correctly, the equation should be written as (6/1)*(1/2)*((1+2)/1), which equals (6/1)*(1/2)*(3/1), which equals 9 no matter the order of the three "terms". 6÷2(1+2) = 6÷2+4 = 3+4 = 7 Now that's just stupid.
There you go. It's been said before, but I tried to express it differently.

PS: I like to riddle my friends with this. I start with the first statement and proceed from there.

________a = b________________(Premise)
_____a^2 = ab________________(multiply each side by a)
a^2 - b^2 = ab - b^2__________(subtract b^2 from each side)
(a+b)(a-b) = b(a-b)____________(factorization)
____(a+b) = b_________________(simplification)
_____b+b = b_________________(according to the premise)