Algebra I The Real Number System

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The Real Number System

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Extend the properties of exponents to rational exponents.
HSN-RN.A.1. Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. For example, we define 51/3 to be the cube root of 5 because we want (51/3)3 = 5(1/3)3 to hold, so (51/3)3 must equal 5.

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HSN-RN.A.2. Rewrite expressions involving radicals and rational exponents using the properties of exponents. tools-icon
Use properties of rational and irrational numbers.
HSN-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. tools-icon