Trick math ?

Question

my daughter came home with this for extra points and funny none of the kids in her class got the right answer. It has no negative numbers in it as a hint. When the teacher gave the right answer it made sence.

when does 1+1+1=1

Good luck and 10 points to the first with the right answer

1 foot + 1 foot + 1 foot = 1 yard

Answer 1

The teacher's answer involved a subtle trick... here's a proof of 1+1+1=1.
Let a=b
Then a^2=ab We can then subtract b^2 from both sides:
a^2 - b^2 = ab - b^2 We can reduce this to:
(a+b)*(a-b) = b(a-b) We can divide both sides by (a-b) to get:
a+b = b And since a = b, we can substitue to get
b+b = b so:
2b=b we divide both sides by b again to get
2=1.
since 1+1 = 2, we can substitute the first 1 with a 2 to get:
2+1 = 2. But 2 = 1 + 1, so we can substitute the first 2 to get:
1 + 1 + 1 = 2. And we proved earlier that 2=1, so we substitute for 2 to get:
1+1+1=1 !!!!!!
This proof seems wrong... and it is... The reason it's wrong is because both sides equal zero in the second line... everything we do to the statements after that is pretty much meaningless (and we divide by zero at one point)

Answer 2

When does 1+1+1=1?

Never in math unless 1 doesn't really equal 1 and is 1/3 of something or needs more than one piece to make it a whole. Like 3 pieces of a puzzle make one puzzle.

Answer 3

one social gathering, does no longer an evidence make. it truly is like conserving x^2 = 2x each and each of the time because 2*2 = 2+2. handle it from the attitude of you're dividing each and each peice better cases. So even once you've better peices, by skill of including the denominators, you're making all of them smaller. i don't have the time to placed it into nifty accepted letters to teach atm, yet i'd bypass from: 2/9 and 5/9, the position 2/9 will be

Answer 4

Fibanocci Sequence

Answer 5

I want a link to this question. This sounds interesting. I don't know the answer, but I hope someone figures it out. =D

Answer 6

Another possibility is that this is referring to equivalence classes mod 2.

Answer 7

Im Special

Answer 8

If you are talking about lumps of playdoh maybe? (add 3 lumps together and still have 1 lump)

Answer 9

when it's a family? you know, father(1), mother(1), baby(1) = family (1)

Answer 10

Ill just put this to have a link to this question. Hope someone will answer. :)