STANDARD N.RN.B.3
AI

Use properties and operations to understand the different forms of rational and irrational numbers.
a. Perform all four arithmetic operations and apply properties to generate equivalent forms of rational numbers and square roots.  Tasks include rationalizing numerical denominators of the form a/√b where a is an integer and b is a natural number.
b. Categorize the sum or product of rational or irrational numbers.
• The sum and product of two rational numbers is rational.
• The sum of a rational number and an irrational number is irrational.
• The product of a nonzero rational number and an irrational number is irrational.
• The sum and product of two irrational numbers could be either rational or irrational.