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

2. 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?

3. 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

4. Prerequisite Skills with Practice
Rewrite the following without exponents.

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

6. 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
$ and the hamster has
had the account for years.
What is the annual interest
rate?

7. Example four
Solve the equation