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Weeks idol powerpoint Weeks idol powerpoint Presentation Transcript

  • IDOL Project by Ronald Weeks
  • Math Objective The student will be able to: Describe and classify Types of Numbers in the Real Number System
  • Real Numbers The Real Number System consists of both Rational and Irrational Numbers. These numbers can be pictured as points on a Real Number Line:
  • Rational Numbers Natural Numbers – set of counting numbers {1, 2, 3, 4, 5, 6, ...} Whole Numbers – set of natural numbers that include the number ‘0” {0, 1, 2, 3, 4, 5, 6, …} Integers – set of whole numbers and their opposites {…,-3, -2, -1, 0, 1, 2, 3, …}
  • Definition Rational Numbers are any numbers that can be expressed in the form of a/b, where a and b are integers and b ≠ 0. For example, integers can be written with a denominator of 1 {…, -3/1, -2/1, -1/1, 0/1, 1/1, 2/1, 3/1, …} Rational numbers can also be expressed by using terminating decimals or repeating decimals.
  • Terminating decimals are decimals that contain a finite number of digits. For example: 0.75, 2.5, -10.25, -0.5, … Note: The example terminating decimals respond to the fractions 3/4, 2½, -10¼, -½ Repeating decimals are decimals that contain an infinite number of digits. For example: 0.333…, -2.666…, 0.8181 Note: The example repeating decimals respond to the fractions 1/3, -2 2/3, 9/11
  • Irrational Numbers An Irrational Number is a number that cannot be written as a fraction and the decimal equivalent does not terminate nor repeat. For example: Π (Pi) is an irrational number. The value of Π is: 3.1415926535897932384626433832795… Radical numbers that cannot simplify to a rational number are irrational: √2 ≈ 1.414213562373095… ³√7 ≈ 1.912931182772389…
  • The Real Number System Summary Real Numbers http://nowiunderstandmath.com/nium_distance_edu_course.html