scientific notation

(noun)

A method of writing or of displaying real numbers as a decimal number between 1 and 10 multiplied by an integer power of 10.

Related Terms

  • Scientific notation
  • normalized scientific notation

Examples of scientific notation in the following topics:

  • Scientific Notation

    • Scientific notation is a more convenient way of writing very small or very large numbers.
    • When writing in scientific notation, only include significant figures in the real number, "a."
    • Therefore, our number in scientific notation would be: $4.56 \times 10^5$.
    • Scientific notation enables comparisons between orders of magnitude.
    • Learn to convert numbers into and out of scientific notation.
  • Scientific Notation

    • Scientific notation is a way of writing numbers that are too big or too small in a convenient and standard form.
    • Scientific notation is a way of writing numbers that are too big or too small in a convenient and standard form.
    • Scientific notation is a less awkward and wordy way to write very large and very small numbers such as these.
    • Scientific notation displayed calculators can take other shortened forms that mean the same thing.
    • Convert properly between standard and scientific notation and identify appropriate situations to use it
  • Scientific Notation

    • Therefore, they can be rewritten as a power of 10 using scientific notation.
    • For example, let's write the number 43,500 in scientific notation.
    • In normalized scientific notation, also called exponential notation, the exponent $n$ is chosen so that the absolute value of $m$ remains at least 1 but less than 10.
    • Note that in this usage, the character e is not related to the mathematical constant $\mathbf{e}$ or the exponential function $e^x$ (a confusion that is less likely if a capital E is used), and though it stands for exponent, the notation is usually referred to as (scientific) E notation or (scientific) e notation, rather than (scientific) exponential notation.
    • Practice calculations with numbers in scientific notation and explain why scientific notation is useful
  • Significant Figures

    • Any numbers in scientific notation are considered significant.
    • When converting from decimal form to scientific notation, always maintain the same number of significant figures.
    • For example, 0.00012 has two significant figures, therefore the correct scientific notation for this number would be 1.2 x 10-4.
  • Naming Octaves

    • Many musicians use Helmholtz notation.
    • Others prefer scientific pitch notation, which simply labels the octaves with numbers, starting with C1 for the lowest C on a full-sized keyboard.
  • Notation

    • The notation for the F distribution is F∼Fdf(num),df(denom) where df(num) = dfbetween and df(denom) = dfwithin
  • Summation Notation

    • Use summation notation to express the sum of a subset of numbers
    • Fortunately there is a convenient notation for expressing summation.
    • This section covers the basics of this summation notation.
    • When all the scores of a variable (such as X) are to be summed, it is often convenient to use the following abbreviated notation:
  • Notation

  • Series and Sigma Notation

    • Sigma notation, denoted by the uppercase Greek letter sigma $\left ( \Sigma \right ),$ is used to represent summations—a series of numbers to be added together.
    • One way to compactly represent a series is with "sigma notation," or "summation notation," which looks like this: $\displaystyle{\sum _{n=3}^{7}{n^2}}$ .
    • To "unpack" this notation, $n=3$ represents the number at which to start counting ($3$), and the $7$ represents the point at which you stop.
  • Electrochemical Cell Notation

    • Cell notation is shorthand that expresses a certain reaction in an electrochemical cell.
    • Cell notations are a shorthand description of voltaic or galvanic (spontaneous) cells.
    • If the electrolytes in the cells are not at standard conditions, concentrations and/or pressure, they are included in parentheses with the phase notation.
    • Using these rules, the notation for the cell we put together is:
    • Produce the appropriate electrochemical cell notation for a given electrochemical reaction
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