# Common Core: The Real Number System

##### HSN.RN.A1

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 … Read More “HSN.RN.A1”

October 1, 2018##### HSN.RN.A2

Rewrite expressions involving radicals and rational exponents using the properties of exponents.

October 1, 2018##### HSN.RN.B3

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.

October 1, 2018