# Is this really true?

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 Is this really true?
Savio Cabral

Student of Arts & Law
Mumbai, Maharashtra
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Location: Mumbai, Maharashtra
Is this really true? - June 18th, 2009

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

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............SAVIO
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 (2 (permalink)) Jiten Mazee   Student of Bachelor of Engineering at HAKIM ABDUL HAMID UNANI MEDICAL COLLEGE Bhopal, Madhya Pradesh Management Paradise Guru  Institute: HAKIM ABDUL HAMID UNANI MEDICAL COLLEGE Status: Offline Posts: 2,649 Join Date: Oct 2015 Location: Bhopal, Madhya Pradesh January 16th, 2016 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? Last edited by kartik; January 20th, 2016 at 06:42 PM.. Friends: (0)
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 (3 (permalink)) Prasad P    Institute: VIT UNIVERSITY Status: Offline Posts: 22 Join Date: Feb 2016 Re: Is this really true? - February 29th, 2016 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...!! Friends: (0)

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