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Thread: What is 1/3 of 100?

  1. #1
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    What is 1/3 of 100?

    When you divide 100 by 3 on a calculator, it will say 33.3333333. However, If you multiply 33.3333333 times 100, you will get 99.9999999. I calculated that 33.33333334 times 3 equals 100 flat.

    Then I go to Google and divide 100 by 3 again. Same results.

    I then go to google and divide 100 by 33.3333333 and get 3!!! I then do 100 divided by 33.33333334 and got 3 as well.

    What's interesting is that on both the calculador and Google say 33.3333333- Stopping at 7 threes in the decimals place. Why not 8, or 9? In fact 33.33 repeating would be 99.99 repeating. Why didn't it have a bar over the 3 then instead of stopping at 7 threes? Better yet, why not put 7 threes then a 4? That comes out to 100 flat.

    Another interesting thing with the calculador is that when I times 33.33333334 by 3 I get 100, then divide it by 3 and it says 33.33333334!!! It's as if I the calculador realizes that i'm right, then corrects it's mistake.

    Does anyone here know why it's like this?

  2. #2
    33 1/3

    That is the only way you can EXACTLY measure 1 third of 100. Seriously, are you like 10 years old? This is basic fractions and decimals. Because decimals are based on 10 they cannot always be exact, and rounding is required. This is not the case for fractions.

    Also, the only reason 33.3333333 comes out to 100 when multiplied by 3 is because your calculator is rounding. 33.3333333 multiplied by 3 DOES NOT equal 100. It equals EXACTLY 99.9999999

  3. #3
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    Quote Originally Posted by Dragon077 View Post
    33 1/3

    That is the only way you can EXACTLY measure 1 third of 100. Seriously, are you like 10 years old? This is basic fractions and decimals. Because decimals are based on 10 they cannot always be exact, and rounding is required. This is not the case for fractions.
    What does 33 and one 1/3 look like in decimal form then?

    Quote Originally Posted by Dragon077 View Post
    Also, the only reason 33.3333333 comes out to 100 when multiplied by 3 is because your calculator is rounding. 33.3333333 multiplied by 3 DOES NOT equal 100. It equals EXACTLY 99.9999999
    But Google doesn't round. It uses repeating bars. Are you saying that 33.33333334 times 3 isn't 100 exactly?

    Since decimals are based on tens, why is 10 divided by 3 equal 33 with 8 threes in the decimals place? Why not 7, or 9? why should the number differ if it's just rounding. I'm assuming that after I certain amount of number in the decimal place, it starts rounding. But then why are the number of 3s different?

    http://www.google.com/search?hl=en&s...639563536539*3

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    Quote Originally Posted by muttonhead View Post
    What does 33 and one 1/3 look like in decimal form then?


    But Google doesn't round. It uses repeating bars. Are you saying that 33.33333334 times 3 isn't 100 exactly?
    As he said, YOU WOUDLN'T EXPRESS IT IN DECIMAL FORM.

    And if you would, it would look like this (note the bar above the last 3):
    00._
    33.3

    That means repeating decimal. The fraction is exact. The decimal is infinite and can't be rounded without changing the answer.

  5. #5
    Quote Originally Posted by muttonhead View Post
    What does 33 and one 1/3 look like in decimal form then?


    But Google doesn't round. It uses repeating bars. Are you saying that 33.33333334 times 3 isn't 100 exactly?

    Since decimals are based on tens, why is 10 divided by 3 equal 33 with 8 threes in the decimals place? Why not 7, or 9? why should the number differ if it's just rounding.
    Because there are INFINITE threes in the decimal place. They have to pick a number to eventually stop at. And there is no set number you have to round to.

    It would look something like this:

    33.33333333333333333333333333333333333333333333333 33333333333333333333333333333333333333333333333333 33333333333333333333333333333333333333333333333333 33333333333333333333333333333333333333333333333333 33333333333333333333333333333333333333333333333333 33333333333333333333333333333333333333333333333333 33333333333333333333333333333333333333333333333333 33333333333333333333333333333333333333333333333333 33333333333333333333333333333333333333333333333333 33333333333333333333333333333333333333333333333333 33333333333333333333333333333333333333333333333333 33333333333333333333333333333333333333333333333333 33333333333333333333333333333333333333333333333333 33333333333333333333333333333333333333333333333333 33333333333333333333333333333333333333333333333333 33333333333333333333333333333333333333333333333333 333333333333333333333...



    We can do this all day. IT NEVER STOPS. So whatever calculator you are using just has a different number for how many digits they choose to display. For some it is 7 digits, others it is 9. This is a fairly simple concept. You are over thinking it.

  6. #6
    Uh...is this what you do with your free time?

  7. #7
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    Alright, I understand the fraction thing now (thanks for explaining it Dudeman), but I don't get why Google doesn't just use the repeating bar. I've seen it been used before by Google, and the number of 3s differ between dividing 10 by 3 and 100 by 3 and so on. But when I get to 3 billion and divide it by 3, it says it equals 333,333,333, NO DECIMAL.

    Quote Originally Posted by SPARTAN_117 View Post
    Uh...is this what you do with your free time?
    This is how I get side-tracked when studying for my geometry test.

  8. #8
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  9. #9
    Quote Originally Posted by muttonhead View Post
    This is how I get side-tracked when studying for my geometry test.
    yeah .

  10. #10
    Official Rapist of SPP CriticalDesign's Avatar
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    I was studying for a geo test, now my heard hurts.

    But the 4 at the end is just the calculator rounding.

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