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 Adding and Subtracting Fractions--Running and Driving (03:36) Multiplying Fractions--Vacation Time (01:37) 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. Click here to begin the practice.
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 What is the rational exponent expression for ? x raised to the 1/2 power "Click here" to check the answer.
x raised to the 3/5 power "Click here" to check the answer.
The cube root of 8 to the 5th power = 2 × 2 × 2 × 2 × 2 = 32 "Click here" to check the answer. Strategies for Simplifying Other Roots and Rational Exponents (04:49) Simplify . (–5)(3)x raised to the (20/30 + 21/30) = –15x raised to the 41/30th power "Click here" to check the answer. Simplify . x raised to the (2/3 × 9) = x raised to the 6th power "Click here" to check the answer. Simplify . (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. |
Simplifying Rational Exponents |
Multiplying Monomials and Polynomials |
Multiplication and Division with Negative Exponents |
Multiplication and Division with Exponents |
Mixed Problems with Fractions |
Dividing Polynomials |