The Real Number System
EXTEND THE PROPERTIES OF EXPONENTS TO RATIONAL EXPONENTS
MCC9-12.N.RN.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 5(1/3) to be the cube root of 5 because we want [5(1/3)] 3 = 5[(1/3) x 3] to hold, so [5(1/3)] 3 must equal 5.
- During 8th grade, students explore integer exponents, including using scientific notation
USE PROPERTIES OF RATIONAL AND IRRATIONAL NUMBERS
MCC9-12.N.RN.3 Explain why the sum or product of 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.