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Math Help - three digit rounding query

  1. #1
    Member moonnightingale's Avatar
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    three digit rounding query

    If we have to do three digit rounding of

    0.266666666667

    then as per my understand answer should be

    0.267

    but book says 0.266

    Why?
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  2. #2
    MHF Contributor
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    Re: three digit rounding query

    Because the computer that they use to display the answers that they then print out has only truncated the number instead of rounding it. Your answer is correct.
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  3. #3
    Member moonnightingale's Avatar
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    Re: three digit rounding query

    Ok thanks Prove it

    If i have to round of 271.426874343 to three digits. then should i round off

    271.426874343

    or i should rounud off like this
    0.271426874343 x 10(raise to power 3) book has followed this method
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  4. #4
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    e^(i*pi)'s Avatar
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    Re: three digit rounding query

    Quote Originally Posted by moonnightingale View Post
    Ok thanks Prove it

    If i have to round of 271.426874343 to three digits. then should i round off

    271.426874343

    or i should rounud off like this
    0.271426874343 x 10(raise to power 3) book has followed this method
    Rounding to 3 digits is 271 (round down because the next digit is a 4) whereas rounding to 3 decimal places is 271.427 (round up because the next digit is 8)
    Which do you mean?

    Whether you have it as 271.427 \text{  or  } 0.271427 \cdot 10^3 is up to you since they're both equivalent.
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  5. #5
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    Re: three digit rounding query

    What exactly is the statement of the problem? If the problem said "round to three decimal places" then what you have is correct. But if it just said "round to three digits", then the correct answer is just "271". Those are also "three digits".
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  6. #6
    Member moonnightingale's Avatar
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    Re: three digit rounding query

    The book says three digit rounding arithmatic
    and my value is 271.5093

    what should be answer
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