A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

Is 3/3 actually 1? Because she I add 33.3333%+33.3333%+33.3333%. You get 99.9999%.

  • This Question is Closed
  1. jjuden
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    3/3 is 1 cause its a fraction

  2. geerky42
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    1/3 is NOT 33.3333% It is 33.3333333333333333333333333.... and so on forever

  3. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Well, \[\frac{ 1 }{ 3 }\] is a repeating decimal. So 33.3333% is an approximation.

  4. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Ya but wouldn't the sum be 99.9999999repeating and never reach 100?

  5. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    You raised a good point though since computer systems have to store repeating decimals as approximations in the form of a mantissa floating point, as per IEEE 754.

  6. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Ok cool, thanks.

  7. geerky42
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    There is argument that \(99.9999999999999999999999...\% = 100\%\) Or at least more commonly, \(0.999999999999... = 1\)

  8. geerky42
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Well technically it IS 100%. Because otherwise THERE will be exists another value between 99.9999...% and 100%. What is this value? Not that I know of.

  9. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Ok cool thanks. :)

  10. geerky42
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    No problem.

  11. freckles
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[x=.999999999999999999.... \\10x=9.99999999999999999999999........... \\ 10x-x=9 \\ 9x=9 \\ x=1\]

  12. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.