normalized scientific notation

(noun)

A number written in scientific notation $m \cdot 10^n$ such that the absolute value of $m$ remains at least 1 but less than 10.

Related Terms

  • scientific notation
  • Scientific notation

Examples of normalized scientific notation in the following topics:

  • 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 $0$ cannot be written in normalized scientific notation since it cannot be expressed as $m \cdot 10^n$ or any non-zero $m$.
    • Normalized scientific form is the typical form of expression for large numbers in many fields, except during intermediate calculations or when an unnormalized form, such as engineering notation, is desired.
    • Practice calculations with numbers in scientific notation and explain why scientific notation is useful
  • Graphical Representations of Functions

    • Function notation, $f(x)$ is read as "$f$ of $x$" which means "the value of the function at $x$."  
    • Since the output, or dependent variable is $y$, for function notation often times $f(x)$ is thought of as $y$.  
    • The ordered pairs normally stated in linear equations as $(x,y)$, in function notation are now written as $(x,f(x))$.
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