1. Unit 3 Lesson 2: Rational Expressions

2. Definition of Rational Numbers
A real number r is rational if and only if there exist integers a and b ,
such that
You can tell that a number is rational because its decimal is either
_________________________ or ________________________.
The rational numbers are closed under the four main operations (addition, subtraction, multiplication, and quotient division), which means that the sum, difference, product, and quotient of rational numbers are always ________________________.
repeating
terminating
rational

3. Definition of a Rational Expression
A rational expression has the form 𝑟 𝑥 = 𝑓(𝑥) 𝑔(𝑥) Where f(x) and g(x) are polynomials (g(𝑥)≠0)

4. Rewriting in Lowest Terms
Example 1:
State any restrictions on the variable.

5. Rewriting in Lowest Terms
Example 2:
State any restrictions on the variable.

7. Arithmetic Operations
Example 3:
State any restrictions on the variable.

8. Arithmetic Operations
Example 4:
State any restrictions on the variable.

9. Arithmetic Operations
Example 5:
State any restrictions on the variable.