Exponential vs
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Questions and Answers

Which form is preferred by scientists for expressing numbers, regardless of their size?

  • Exponential form (correct)
  • Ordinary form
  • Both forms are equally preferred
  • None of the above
  • What is the exponential form of the speed of light, which is 186,000 miles per second?

  • 1.86 x 10^5 (correct)
  • 186 x 10^3
  • 18.6 x 10^4
  • None of the above
  • What is the ordinary form of the diameter of an E. coli cell, which is 8.0 x 10^-7 meters?

  • 0.0000008 meters (correct)
  • 0.00000008 meters
  • 0.000000008 meters
  • None of the above
  • Which form is useful for expressing very large or very small numbers?

    <p>Exponential form</p> Signup and view all the answers

    Which form do scientists prefer to use for expressing numbers, regardless of their size?

    <p>Exponential form</p> Signup and view all the answers

    What is the ordinary form of 1.86 x 10^5?

    <p>186,000</p> Signup and view all the answers

    What is the ordinary form of 8.0 x 10^-7 meters?

    <p>0.00000080 meters</p> Signup and view all the answers

    When an ordinary number smaller than one will have a positive exponent?

    <p>When the decimal point is moved to the left</p> Signup and view all the answers

    What is the exponential form of 4.95 x 10^9?

    <p>4950000000</p> Signup and view all the answers

    When an ordinary number larger than one will have a positive exponent?

    <p>When the decimal point is moved to the right</p> Signup and view all the answers

    What is the exponential form of 5.6 x 10^-13?

    <p>0.00000000000056</p> Signup and view all the answers

    How many places should the decimal point be moved to the right to convert an ordinary number smaller than one to exponential form?

    <p>Equal to the number of places the decimal point has been moved to the left</p> Signup and view all the answers

    Study Notes

    Scientific Notation

    • Scientists prefer to express numbers in exponential form, regardless of their size, for simplicity and clarity.

    Exponential Form

    • The speed of light, 186,000 miles per second, can be written in exponential form as 1.86 x 10^5.
    • The diameter of an E. coli cell, 8.0 x 10^-7 meters, is already in exponential form.

    Ordinary Form

    • The ordinary form of 1.86 x 10^5 is 186,000.
    • The ordinary form of 8.0 x 10^-7 meters is 0.0000008 meters.

    Characteristics of Exponential Form

    • Exponential form is useful for expressing very large or very small numbers.
    • Ordinary numbers smaller than one will have a negative exponent in exponential form.
    • Ordinary numbers larger than one will have a positive exponent in exponential form.
    • The exponential form of 4.95 x 10^9 is already in exponential form.
    • The exponential form of 5.6 x 10^-13 is already in exponential form.

    Converting to Exponential Form

    • To convert an ordinary number smaller than one to exponential form, the decimal point should be moved to the right.

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    Description

    Test your knowledge of exponential and ordinary forms of numbers with this quiz! Explore the importance of exponential notation in scientific calculations and learn how to convert between the two forms. Challenge yourself with examples of both large and small numbers.

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