RATIONAL NUMBERS AND EXPONENTS


Unit Overview
In this unit, you will learn about rational numbers.  You will learn how to simplify rational expressions and solve equations that contain rational numbers.  This unit will also introduce you to the properties of exponents so you will be able to simplify polynomials in a later unit.


Rational Numbers


Quicktime_Video_Icon
  Adding and Subtracting Fractions--Running and Driving (03:36)


Quicktime_Video_Icon  Multiplying Fractions--Vacation Time (01:37)



Quicktime_Video_Icon
  Dividing Fractions--Baking Bread (02:11)

Stop!  Go to Questions #1-8 about this section, then return to continue on to the next section.


Solving Equations with Rational Numbers

Stop!  Go to Questions #9-14 about this section, then return to continue on to the next section.


Exponent Properties









Click here to begin the practice.

 



Stop!  Go to Questions #15-19 about this section, then return to continue on to the next section.


Multiplying and Dividing Monomials


Click here to begin the practice.

Stop!
 
Go to Question #20 about this section, then return to continue on to the next section.



Rational Exponents



question1What is the rational exponent expression for ?

x raised to the 1/2 power

"Click here" to check the answer.




question1What is the rational exponent expression for ?

x raised to the 3/5 power

"Click here" to check the answer.





question1What is the rational exponent expression for ?

The cube root of 8 to the 5th power = 2 × 2 × 2 × 2 × 2 = 32

"Click here" to check the answer.



Quicktime_Video_Icon 
Strategies for Simplifying Other Roots and Rational Exponents (04:49) 




question1Simplify .

(–5)(3)x raised to the (20/30 + 21/30) = –15x raised to the 41/30th power

"Click here" to check the answer.


question1Simplify .

x raised to the (2/3 × 9) = x raised to the 6th power

"Click here" to check the answer.






question1Simplify .

(15/5) x raised to (7/8 – 4/8) = 3x raised to the 3/8 power

"Click here" to check the answer.


Stop!
 
Go to Questions #21-30
to complete this unit.




Below are additional educational resources and activities for this unit.
 
Simplifying Rational Exponents
 
Multiplying Monomials and Polynomials
 
Multiplication and Division with Negative Exponents
 
Multiplication and Division with Exponents
 
Mixed Problems with Fractions
 
Dividing Polynomials