Lesson Rational and Irrational Numbers and Their Properties

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Lesson 1.1.2 Rational and Irrational Numbers and Their Properties Pages in Text Any Relevant Graphics or Videos

By the end of this lesson, I will be able to answer the following questions… 1. How can I solve a basic exponential equation? 2. How can you determine the whether the sum or product of two numbers will be rational or irrational AND determine closure? 3. Can I apply properties of exponent to solve solve growth and decay scenarios?

Vocabulary Exponential Equation Closed Operations The sum of two rational numbers is a rational number. The product of two rational The sum of a rational number and an irrational number is an irrational number. The product of a rational number

Prerequisite Skills with Practice Rewrite the following without exponents.

Example one Simplify the expression GeoGebra Example One Example two Simplify the expression GeoGebra Example Two

th-7.jpeg Example three A wealthy hamster has a savings account. The total balance, y, after any number of years t can be found using the equation where x is 1 plus the annual interest rate. The balance in the account is currently $6203.74 and the hamster has had the account for years. What is the annual interest rate?

Example four Solve the equation