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Elementary and Intermediate Algebra
Mark Dugopolski, Southeastern Louisiana University

Real Numbers and Their Properties

Learning Objectives


Chapter 1 - Real Numbers and Their Properties

  1. The Integers
  2. The Rational Numbers
  3. The Number Line
  4. The Real Numbers
  5. Absolute Value
  6. Equivalent Fractions
  7. Multiplying Fractions
  8. Dividing Fractions
  9. Adding and Subtracting Fractions
  10. Fractions, Decimals, and Percents
  11. Applications with Fractions
  12. Addition of Two Negative Numbers
  13. Addition of Numbers with Unlike Signs
  14. Subtraction of Signed Numbers
  15. Multiplication of Real Numbers
  16. Division of Real Numbers
  17. Division by Zero
  18. Arithmetic Expressions
  19. Exponential Expressions
  20. The Order of Operations
  21. Identifying Algebraic Expressions
  22. Translating Algebraic Expressions
  23. Evaluating Algebraic Expressions
  24. Equations
  25. Applications with Algebraic Expressions
  26. The Commutative Properties
  27. The Associative Properties
  28. The Distributive Properties
  29. The Identity Properties
  30. The Inverse Properties
  31. Multiplication Property of Zero
  32. Applications with the Properties of Real Numbers
  33. Using the Properties in Computation
  34. Like Terms
  35. Combining Like Terms
  36. Products and Quotients
  37. Removing Parentheses