Skills to Master
1.1 – Explain Rational Exponents & Radicals
- 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 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.
1.2 – Rewriting Rational Exponents and Radicals
- N.RN.2 – Rewrite expressions involving radicals and rational exponents using the properties of exponents.
1.3 – Explain Closure of Sums & Products of Rational & Irrational Numbers
- N.RN.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.