0.33 continued (one third) plus 0.33 continued plus 0.33 continued (1/3 + 1/3 + 1/3) equals one. But if each 0.33 is an infinite string of 3's...is it possible to truly calculate the equation since an equation with infinitely long numbers would take infinite time to calculate? What's actually going on here?

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Why would this take infinitely long to calculate? Is there a particular reason you couldn't treat the infinite trail of the same digit as a convergent geometric series and just substitute in what the series converges to?

This guy trying talking about the convergence of infinite series and shit. Magic fake science.

It's not science. It's math.

because dogma says so.

Dogma? Is that related to ligma?

0.99... is just a different way of writing 1

>robbing banks by stealing a cent from every transaction

You've been caught before.

I can't believe people are being filtered by pure notation.

OP, the bread you cut into 3 precise parts is more abstractly mathematically real than the symbols we use to describe it. 0.999.... means nothing perplexing or significant.

This is going on:

0.999... (repeating) = x

9.999... (repeating) = 10x

9 = 9x

thus x = 1.

Nice

the fact that 1/3 is written as 0.33333... is just an artifact of decimal notation - there is no clean way to write it in base ten, but in other bases like dozenal, there is.

in other words, 1/3 isnt *really* infinitely long like numbers such as root 2 or pi, its just not possible to write 1/3 with a finite number of figures in base ten notation

0,(3) * 3 isn't 1????

the ultimate barrier to even achieving midwit tier intelligence ladies and gentlemen

this shit again?

apparently so, can you believe these people consider themselves intelligent even though they're incapable of inventing any new memes and instead spam the same worn out garbage every day for a decade?

>inventing any new memes

im going to be honest with you, i think they seek to shit up the board for shitting up the board's sake

1/15

use base 3:

[math]

1/3_{10} + 2/3_{10} = 0.1_3+0.2_3=1_3=1_{10}

[/math]

>0.33 continued

isn't a number

>infinity

isn't a number

0.33 continued is how we represent 1/3 in decimal form. it's a mathematical shorthand, just like infinity, which itself is just shorthand for "an arbitrarily large number", that's it

so when you are doing (0.33 continued)*3, you are implicitly doing (1/3)*3, by definition.

the reason why 0.999 repeated = 1 is because 0.999 repeated is (0.33 repeated) * 3 is by definition (1/3)*3, which is 1.

Is 0.5 a number?

no since it has infinite 0s

0.3 continued doesnt equal 1/3rd

simple as

1/3 - 0.3 continued = ?