Is this really true?

savio13

Savio Cabral
The conjecture is that 0.9 recurring (i.e. 0.999....,
with the digits going on forever) is actually equal to 1

(For this exercise I will use the notation 0.999... as notation for 0.9 recurring,
the correct way would be to put a little dot above the 9, or a line on top like this: 0.9)



Let X = 0.999...


Then 10X = 9.999...

Subtract X from each side to give us:


9X = 9.999... - X

but we know that X is 0.999..., so:


9X = 9.999... - 0.999...
or: •

9X = 9


Divide both sides by 9:


X = 1


But hang on a moment I thought we said X was equal to 0.999... ?

Yes, it does, but from our calculations X is also equal to 1. So:


X = 0.999... = 1





Therefore 0.999... = 1
 
There is a room with no doors, no widows, nothing and a man is hung from the ceiling and a puddle of water is on the floor. How did he die?

Question : A lift is on the ground floor. There are 4 people in the lift including me.
When the lift reaches 1st floor, 1 person gets out 3 people get in.
The lift goes up to the second floor, 2 people get out 6 people get in.
It then goes up to the next floor up, no-one gets out but 12 people get in. Halfway up to the next floor up the lift cable snaps, it crashes to the floor. Everyone dies in the lift. How did I survive?

There are three houses one is red one is blue band one is white. If the red house is to the left of the house in the middle and the blue house is to the right to the house in the middle where is the white house?
 
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1. Money can't buy happiness, but its more comfortable to cry in a BMW than on a bicycle.
2. Forgive your enemy, but remember that bastard's
name.
3. Help a man when he is in trouble and he will remember you when he is in trouble again.
4. Many people are alive only because its illegal to shoot them(n) .
5. Alcohol doesn't solve any problem, but neither does juice** .
6. Smoking kills, but if you don't smoke, doesn't mean you'll never die...!!
 
There is a room with no doors, no widows, nothing and a man is hung from the ceiling and a puddle of water is on the floor. How did he die?

Question : A lift is on the ground floor. There are 4 people in the lift including me.
When the lift reaches 1st floor, 1 person gets out 3 people get in.
The lift goes up to the second floor, 2 people get out 6 people get in.
It then goes up to the next floor up, no-one gets out but 12 people get in. Halfway up to the next floor up the lift cable snaps, it crashes to the floor. Everyone dies in the lift. How did I survive?

There are three houses one is red one is blue band one is white. If the red house is to the left of the house in the middle and the blue house is to the right to the house in the middle where is the white house?


He stepped up on a block of ice to hang himself and then the ice melted.
 
There is a room with no doors, no widows, nothing and a man is hung from the ceiling and a puddle of water is on the floor. How did he die?

Question : A lift is on the ground floor. There are 4 people in the lift including me.
When the lift reaches 1st floor, 1 person gets out 3 people get in.
The lift goes up to the second floor, 2 people get out 6 people get in.
It then goes up to the next floor up, no-one gets out but 12 people get in. Halfway up to the next floor up the lift cable snaps, it crashes to the floor. Everyone dies in the lift. How did I survive?

There are three houses one is red one is blue band one is white. If the red house is to the left of the house in the middle and the blue house is to the right to the house in the middle where is the white house?

You survived because you got out of the life on the previous floor.
 
There is a room with no doors, no widows, nothing and a man is hung from the ceiling and a puddle of water is on the floor. How did he die?

Question : A lift is on the ground floor. There are 4 people in the lift including me.
When the lift reaches 1st floor, 1 person gets out 3 people get in.
The lift goes up to the second floor, 2 people get out 6 people get in.
It then goes up to the next floor up, no-one gets out but 12 people get in. Halfway up to the next floor up the lift cable snaps, it crashes to the floor. Everyone dies in the lift. How did I survive?

There are three houses one is red one is blue band one is white. If the red house is to the left of the house in the middle and the blue house is to the right to the house in the middle where is the white house?

The white House is the one in the middle.
 
There is a room with no doors, no widows, nothing and a man is hung from the ceiling and a puddle of water is on the floor. How did he die?

Question : A lift is on the ground floor. There are 4 people in the lift including me.
When the lift reaches 1st floor, 1 person gets out 3 people get in.
The lift goes up to the second floor, 2 people get out 6 people get in.
It then goes up to the next floor up, no-one gets out but 12 people get in. Halfway up to the next floor up the lift cable snaps, it crashes to the floor. Everyone dies in the lift. How did I survive?

There are three houses one is red one is blue band one is white. If the red house is to the left of the house in the middle and the blue house is to the right to the house in the middle where is the white house?
You are the one among people who get out of lift
 
There is a room with no doors, no widows, nothing and a man is hung from the ceiling and a puddle of water is on the floor. How did he die?

Question : A lift is on the ground floor. There are 4 people in the lift including me.
When the lift reaches 1st floor, 1 person gets out 3 people get in.
The lift goes up to the second floor, 2 people get out 6 people get in.
It then goes up to the next floor up, no-one gets out but 12 people get in. Halfway up to the next floor up the lift cable snaps, it crashes to the floor. Everyone dies in the lift. How did I survive?

There are three houses one is red one is blue band one is white. If the red house is to the left of the house in the middle and the blue house is to the right to the house in the middle where is the white house?
White House
 
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