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0.99999...=?

Wanted : urgent answer.

cause i'm in the computer room in school Thks

 Jul 23, 2014

Best Answer 

 #3
avatar+105683 
+11

Hi anonymous,

Good thinking but your logic is a little floored because there are an infinite number of 0s before the 1.  

So the 1 is never reached.

 

$$\\\frac{1}{3}=0.33333333.......\\\\
\frac{2}{3}= 0.66666666........\\\\
\frac{3}{3}=0.999999999....... = 1$$

.
 Jul 23, 2014
 #1
avatar+105683 
+8

0.9 repeater equals 1

 Jul 23, 2014
 #2
avatar
+8

but 1- 0.9999999999...=o.ooooooooooooooooooooooooo1

and since 0.00000000000000001 does not = 0

0.999999999999999 does not = 1

 Jul 23, 2014
 #3
avatar+105683 
+11
Best Answer

Hi anonymous,

Good thinking but your logic is a little floored because there are an infinite number of 0s before the 1.  

So the 1 is never reached.

 

$$\\\frac{1}{3}=0.33333333.......\\\\
\frac{2}{3}= 0.66666666........\\\\
\frac{3}{3}=0.999999999....... = 1$$

Melody Jul 23, 2014
 #4
avatar+28208 
+8

Look at it this way:

Let        x = 0.9999999999.....

Then  10x = 9.9999999999...

Subtract the first from the second to get

10x - x = 9.999999999.... - 0.999999999...  

or 9x = 9

so x = 1

 Jul 23, 2014

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