lesson
Closure Properties of Number Sets
Determine which operations close each subset of the real numbers and explain why.
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Closure and Proofs with Rational and Irrational Numbers
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
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- Proving the Sum of Two Rational Numbers is RationalUp next
- Proving the Product of Two Rational Numbers is RationalNot started yet
- Why the Sum of a Rational and an Irrational Number is IrrationalNot started yet
- Why the Product of a Nonzero Rational and an Irrational Number is IrrationalNot started yet
- Closure Properties of Number SetsYou are here
- Exploring Number Properties Using GeoGebraNot started yet
Learning standards covered
HSN.RN.B.3Common Core State Standards · Math · 9th GradeExplain 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
OGM.12.NUM.1