New Jersey flagNew Jersey: The Real Number System Math Standards

3 standards · 2 domains

EXTEND THE PROPERTIES OF EXPONENTS TO RATIONAL EXPONENTS.

  • N-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 5^(1/3) to be the cube root of 5 because we want (5^(1/3))^3 = 5^(1/3)^3 to hold, so (5^(1/3))^3 must equal 5.
  • N-RN.A.2 Rewrite expressions involving radicals and rational exponents using the properties of exponents.

USE PROPERTIES OF RATIONAL AND IRRATIONAL NUMBERS.

  • 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.