If 1/3 * 3 is 1, why is .333 repeating * 3 = .999?

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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  1. 1 month ago
    Anonymous

    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?

    • 1 month ago
      Anonymous

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

      • 1 month ago
        Anonymous

        It's not science. It's math.

  2. 1 month ago
    Anonymous

    because dogma says so.

    • 1 month ago
      Anonymous

      Dogma? Is that related to ligma?

  3. 1 month ago
    Anonymous

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

    • 1 month ago
      Anonymous

      >robbing banks by stealing a cent from every transaction
      You've been caught before.

  4. 1 month ago
    Anonymous

    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.

  5. 1 month ago
    Anonymous

    This is going on:

    0.999... (repeating) = x
    9.999... (repeating) = 10x
    9 = 9x
    thus x = 1.

    • 1 month ago
      Anonymous

      Nice

  6. 1 month ago
    Anonymous

    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

  7. 1 month ago
    Anonymous

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

  8. 1 month ago
    Anonymous

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

  9. 1 month ago
    Anonymous

    this shit again?

    • 1 month ago
      Anonymous

      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?

      • 1 month ago
        Anonymous

        >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

  10. 1 month ago
    Anonymous

    1/15

  11. 1 month ago
    Anonymous

    use base 3:
    [math]
    1/3_{10} + 2/3_{10} = 0.1_3+0.2_3=1_3=1_{10}
    [/math]

  12. 1 month ago
    Anonymous

    >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.

    • 1 month ago
      Anonymous

      Is 0.5 a number?

      • 1 month ago
        Anonymous

        no since it has infinite 0s

  13. 1 month ago
    Anonymous

    0.3 continued doesnt equal 1/3rd

    simple as

    • 1 month ago
      Anonymous

      1/3 - 0.3 continued = ?

Comments are closed.