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Math Help - Truncation vs Rounding

  1. #1
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    Smile Truncation vs Rounding

    I am trying to figure out applications in which I can use truncation and applications in which I could use rounding. I am working on this for a school project and I am having trouble identifying specific applications for each topic.

    Any help or clues would be so greatly appreciated.
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  2. #2
    Member Greengoblin's Avatar
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    When a calculator makes a calculation and displays it on a screen, it can only display the numerical answer to a given length of decimal places (usually 8 or 9 for calculators), so it needs to round the final digit of a repeating decimal, in order to display the answer.

    In computer programming, you may also need to make a calculation resulting in a decimal, but declare the result as an integer value, so a subroutine will round the decimal to an integer.

    There's probably many more obvious applications but I can't actually think of too many. Maybe like measuring instruments are only accurate to a certain degree like \pm 1\text{mm} for a ruler, could be another.
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  3. #3
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    Quote Originally Posted by missyd819 View Post
    truncation
    rounding.
    Also, (1.00 x 10^2) is not the same as (1 x 10^2)
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  4. #4
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    Quote Originally Posted by missyd819 View Post
    I am trying to figure out applications in which I can use truncation and applications in which I could use rounding. I am working on this for a school project and I am having trouble identifying specific applications for each topic.

    Any help or clues would be so greatly appreciated.
    If I understand you correctly you are looking for some examples where truncation or rounding is used. If so:

    1. Truncation

    Compare the actual size of a foot and the size of the adequate fitting(?) shoe. If the foot is a little bit larger than a specific shoe you can't round down.

    2. Rounding

    The currency in Denmark is crown which has 1 DEK = 100 Ýre. Prices are labeled exactly to one Ýre, BUT there are only coins of 25 Ýre or 50 Ýre.
    An example:
    You have bought 3 items which cost 14.99, 27.11 and 8.79. In total 50.89 but you have to pay 51.00 crowns.
    If you had bought 3 items ŗ 14.99, 27.11 and 8.75, in total 50.85 then you only pay 50.75 DEK.
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  5. #5
    Member Greengoblin's Avatar
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    Good examples earboth. I also thought of something to do with currency, but couldn't think of a suitable currency
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