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This module is from Elementary Algebra by Denny Burzynski and Wade Ellis, Jr. The basic operations with real numbers are presented in this chapter. The concept of absolute value is discussed both geometrically and symbolically. The geometric presentation offers a visual understanding of the meaning of |x|. The symbolic presentation includes a literal explanation of how to use the definition. Negative exponents are developed, using reciprocals and the rules of exponents the student has already learned. Scientific notation is also included, using unique and real-life examples.This module contains the objectives of the chapter "Basic Operations with Real Numbers".

After completing this chapter, you should

    Signed numbers ( [link] )

  • be familiar with positive and negative numbers and with the concept of opposites

    Absolute value ( [link] )

  • understand the geometric and algebraic definitions of absolute value

    Addition of signed numbers ( [link] )

  • be able to add numbers with like signs and unlike signs
  • understand addition with zero

    Subtraction of signed numbers ( [link] )

  • understand the definition of subtraction
  • be able to subtract signed numbers

    Multiplication and division of signed numbers ( [link] )

  • be able to multiply and divide signed numbers

    Negative exponents ( [link] )

  • understand the concepts of reciprocals and negative exponents
  • be able to work with negative exponents

    Scientific notation ( [link] )

  • be able to convert a number from standard form to scientific form and from scientific form to standard form
  • be able to work with numbers in scientific notation

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Source:  OpenStax, Elementary algebra. OpenStax CNX. May 08, 2009 Download for free at http://cnx.org/content/col10614/1.3
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