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High School
Number and Quantity
Domain
The Real Number System
Cluster
Use properties of rational and irrational numbers.
Standard
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.
N-RN.B.3. 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.
Operations with Rational and Irrational Numbers
Sums of rational and irrational numbers