Math II · N-RN.3

Explain closure properties of rational numbers and irrational results from rational/irrational sums and products.

Explain closure properties of rational numbers and irrational results from rational/irrational sums and products.

Concept Number and Quantity
Domain The Real Number System
Problem Types

Problem Templates In This Objective

9 problem types are attached to this objective. The full web app handles practice, answers, hints, and walkthroughs.

Template 1

Classify the sum of two rational numbers as rational

4 variants
Template 2

Classify the product of two rational numbers as rational or irrational

4 variants
Template 3

Classify a sum of a rational number and an irrational number

4 variants
Template 4

Classify a rational-irrational product with an explicit zero check

4 variants
Template 5

Audit a zero exception in a quantified product statement

4 variants
Template 6

Simplify and classify a concrete sum of irrational expressions

4 variants
Template 7

Simplify and classify a concrete product of irrational expressions

4 variants
Template 8

Classify a radical expression as rational or irrational after simplifying

4 variants
Template 9

Classify always, sometimes, or never statements about rational and irrational sums and products

4 variants