Power of a Power Property of Exponents
Adding and Subtracting Rational Numbers
Solving Equations with Radicals and Exponents
Quadratic Equations
Using Intercepts for Graphing Linear Equations
Graphing Linear Equations in Two
Multiplying Fractions
Solving Linear Equations Containing Fractions
Evaluating Polynomials
Multiplication Property of Square and Cube  Roots
Writing a Fraction in Simplest Form
Square Roots
The Pythagorean Theorem
Factoring The Difference of 2 Squares
Solving Polynomial Equations
Roots and Powers
Writing Linear Equations in Standard Form
Solving Nonlinear Equations by Substitution
Straight Lines
The Square of a Binomial
Solving Equations
Adding and Subtracting Like Fractions
Finding the Equation of an Inverse Function
Slope of a Line
Rules for Nonnegative Integral Exponents

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After studying this lesson, you will be able to compare numbers using inequality symbols.

Rational Numbers are numbers that can be expressed in the form where a and b are integers and b is not equal to zero.

Inequality Symbols:

> greater than

< less than

less than or equal than

greater or equal than

Comparing Rational Numbers

To compare two fractions, cross multiply. Then use an inequality to symbol to compare the numbers.

Example 1

Compare .


Cross multiply 3 times 11 equals 33

Cross multiply 8 times 4 equals 32

Compare 33 ____ 32 (put the greater than symbol in the blank)

33 > 32

Therefore, .


Example 2



Cross multiply 6 times 12 equals 72

Cross multiply 11 times 7 equals 77

Compare 72 ____ 77 (put the less than symbol in the blank)

72 < 77



Example 3



First, make 4 a fraction - rewrite as

Cross multiply -2 times 1 equals -2

Cross multiply 3 times 4 equals 12

Compare -2 ____ 12 (put the less than symbol in the blank)

-2 < 12