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Closure and Proofs with Rational and Irrational Numbers

9th Grade · Math · CCSS

6 lessons

Goal

Prove that sums and products of rational numbers are rational, explain why operations involving irrationals yield irrational results, and determine closure properties of number sets.

6 lessons
0 of 6 done
  1. Proving the Sum of Two Rational Numbers is RationalUp next
  2. Proving the Product of Two Rational Numbers is RationalNot started yet
  3. Why the Sum of a Rational and an Irrational Number is IrrationalNot started yet
  4. Why the Product of a Nonzero Rational and an Irrational Number is IrrationalYou are here
  5. Closure Properties of Number SetsNot started yet
  6. Exploring Number Properties Using GeoGebraNot started yet
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Learning standards covered

usHSN.RN.B.3Common Core State Standards · Math · 9th Grade

Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational.

Open Global Standard:OGM.12.NUM.1
GlobalOGM.12.NUM.1