Evaluating a Rational Expression
The method of substituting a value for the variables in a rational expression is called evaluating an expression.
Multiplying Decimals: Rules for Multiplying Decimals
This clip explains the basic rules for multiplying decimals, stating that the first step is to multiply the numbers as if they were whole numbers, and then count up the number of digits to the right of the decimal point in both factors to determine ...
Multiplying Fractions: Summary: Multiplying Fractions
This clip summarizes multiplying fractions, touching on a number of the main rules that apply, revisiting the value of dividing through (or "canceling"), and finally discussing the conversion of mixed numbers to imperfect fractions and back again.
Examples of Rationalizing the Denominator
Problems involving rationalizing the denominator are presented and a shortcut is given.
Examples of Division Problems with Radicals
Two division problems with radicals are demonstrated.
Multiplying then Simplifying Two Radicals
The procedure for simplifying radicals by beginning with multiplication is demonstrated.
Variables and the Greatest Common Factor
To factor completely, the greatest common factor must include every number and variable that is a factor of each term in the polynomial. A demonstration of how variables can be a part of the greatest common factor.
Using Factoring to Solve an Equation
An equation is presented for solution in which factoring must be used. The solution is detailed and checked.
Solve: x2 - 8x 16 = 0
Practice solving a quadratic equation: x2 8x 16 = 0. Because this equation has two identical binomial factors, it has a single solution called a double root.
Dividing a Radical by a Whole Number
A radical can only be divided by another radical. In the examples demonstrated, the only radical is in the numerator. The radical simplified and the fraction reduced.