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/sci/ - Science & Math


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12372179 No.12372179 [Reply] [Original] [archived.moe]

0.999999.... = 1 see:

[math]
10r-r = 9. \overline{9} - 0.\overline{9} = 9 \Rightarrow r = 1
[/math]

>> No.12372358

>>12372179
Based

>> No.12372386

NOOOOOOOOOOOOOOOO think of all the digitiiiiinos

>> No.12372797

>>12372179
what does 10 * 0.99999... mean?

>> No.12372802

>>12372179
1 represents the entire infinite range, from 0.000... to 0.999...

it is a discrete, normal number, but it represents an infinite set. pretty based

>> No.12372814
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12372814

>> No.12372892 [DELETED] 

>>12372179
10 * (r- r) = 10
10 - 10 = 0
r = 1

>> No.12372984

>>12372797
10

>> No.12373019

>>12372802
discrete, yet infinite. And yet math was supposed to be the epitome of logic. Sad!

>> No.12373038

>>12372179
Suppose, for a contradiction, that .9999... = 1. Multiply by 2 to get 1.8181818.... = 2. Since 1.8181818... < 1.9 < 2, there is a contradiction.

>> No.12373042

>>12373038
kek

>> No.12373071

>>12373038
0.9999999...*2 does not equal 1.8181...
It equals 1.999999...

>> No.12373076

>>12373071
So that's what Big Math is brainwashing children these days with? I fear for the state of our nation.

>> No.12373236

>>12373038
>6*22 = 1212

>> No.12373535

>>12373038
t. absolute retard

>> No.12373580

>>12372179
1=1
1/3=0.333....
1/3×3=0.333...×3
1=0.999...

>> No.12373584

>>12373038
Your multiplication is wrong you add the 1 to the 8 in from of it not make a new space for it.

>> No.12373589

>>12373584
Front not from sorry

>> No.12373664

>>12373038
>60/33 = 2
hurr durr

>> No.12373737

>>12373664
60/33 = 1.818181...
1/9=.1111....
1/99=.0101010....
1/999=.001001001....
60/33=180/99=1 81/99

>>
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