Modern Learning Aids; A Brief Course in Mathematics for Elementary School Teachers - Lesson XXX: The Real Numbers; Modern Learning Aids; A Brief Course in Mathematics for Elementary School Teachers; Lesson XXX: The Real Numbers

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  • Title Card: A Brief Course in Mathematics for Elementary School Teachers
  • Title Card: XXX The Real Numbers
  • Title Card: Stewart Moredock
  • Title Card: The Properties of Rational Numbers
  • Title Card: Closure: If r and s are rational numbers, then r + s and r x s are rational numbers.
  • Title Card: Commutative: r + s = s + r r x s = s x r
  • Title Card Associative: (r + s) + t = r + (s + t) (r x s) x t = t x (s x t)
  • Title Card: Distributive: r x (s + t) = (r x s) + (r x t)
  • Title Card: Zero, One: r + 0 = r r x 1 = r
  • Title Card: Reciprocals: For each rational number r, except 0, there is a reciprocal. recip(r), such that r x recip(r) = 1
  • Title Card: Opposites: For each rational number r, there is an opposite, opp(r), such that r + opp(r) = 0
  • Title Card: Order: r<s if and only if there is a positive rational number p, such that r + p = s. In other words, s - r is a positive rational number.
  • Using Number Line to Arrive at Rational Numbers in Stages
  • Property of Denseness
  • Irrational Numbers
  • Pi
  • Summary of Lesson
  • Title Cards: Credits XXX The Real Numbers
  • A Brief Course in Mathematics for Elementary School Teachers
  • Produced by School Mathematics Study Group
  • With financial support from The National Science Foundation
  • Lecturer: Stewart Moredock, Sacramento State College Assistant: Jack Abad, San Francisco Unified School District
  • Live Camera Recording: W.A. Palmer Films, Inc San Francisco