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Math Help - Scientific notation

  1. #1
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    Scientific notation

    I hav a few questions on 'scientific notation':

    a) there is NO number in scientific notation that is negative, am i right?

    b) 3x10^2 and 3.0x10^2. Which one is in scientific notation? Both correct? Can I ignore the decimal point?

    c) 1.2 and 1.2x10^0. Which one is in scientific notation? Both?

    d) 4.3x10 and 4.3x10^1. Which one is in scientific notation? Can I ignore the power of 10 if the power is 1?

    Can anyone provide me the rules of writing a number in scientific notation?

    Thanks a lot!!!!!

    p/s: URGENT
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by acc100jt View Post
    I hav a few questions on 'scientific notation':
    I beleive there is no given standard for scientific notation, but there are
    fairly widely used conventions. If in class you have been taught something
    different from what follows use that instead (teachers can become touchy
    about students adopting a different convention even if it is only a convention)

    a) there is NO number in scientific notation that is negative, am i right?
    Is -2.3x10^3 in scientific notation? My answer is yes it is, and it is negative.

    (Though in a number of documents I have seen on scientific notation there
    is no place reserved for a sign, a number in scientific notation is defined to be
    of the form AxB, where A is a number in the range 1 to 10 (1 included 10 excluded)
    and B a power of 10, but this is absurd. That A have single digit before the decimal
    point is the requirement that the number be in normalised scientific notation, in
    some context un-normalised numbers are still considered to be in scientific notation)

    b) 3x10^2 and 3.0x10^2. Which one is in scientific notation? Both correct? Can I ignore the decimal point?
    Both are correct scientific notation. However there is a convention about
    the number of significant figures in the mantissa indicating accuracy, under
    this convention the first would indicate 300 but only to one significant digit
    while the second represents 300 known to two significant digits.

    c) 1.2 and 1.2x10^0. Which one is in scientific notation? Both?
    Technically only the second (though in a context other than an exercise
    about scientific notation either would be acceptable)

    d) 4.3x10 and 4.3x10^1. Which one is in scientific notation? Can I ignore the power of 10 if the power is 1?
    Technically only the second (though in a context other than an exercise
    about scientific notation either would be acceptable).

    RonL
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