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Rotating a Parabola
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Mixed Numbers and Improper Fractions
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Logarithmic Functions
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The Square of a Binomial
Factoring Trinomials
The Pythagorean Theorem
Solving Radical Equations in One Variable
Multiplying Binomials Using the FOIL Method
Imaginary Numbers
Solving Quadratic Equations Using the Quadratic Formula
Solving Quadratic Equations
Algebra
Order of Operations
Dividing Complex Numbers
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The Appearance of a Polynomial Equation
Standard Form of a Line
Positive Integral Divisors
Dividing Fractions
Solving Linear Systems of Equations by Elimination
Factoring
Multiplying and Dividing Square Roots
Functions and Graphs
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Solving Rational Equations
Numbers
Use of Parentheses or Brackets (The Distributive Law)
Multiplying and Dividing by Monomials
Solving Quadratic Equations by Graphing
Multiplying Decimals
Use of Parentheses or Brackets (The Distributive Law)
Simplifying Complex Fractions 1
Adding Fractions
Simplifying Complex Fractions
Solutions to Linear Equations in Two Variables
Quadratic Expressions Completing Squares
Dividing Radical Expressions
Rise and Run
Graphing Exponential Functions
Multiplying by a Monomial
The Cartesian Coordinate System
Writing the Terms of a Polynomial in Descending Order
Fractions
Polynomials
Quadratic Expressions
Solving Inequalities
Solving Rational Inequalities with a Sign Graph
Solving Linear Equations
Solving an Equation with Two Radical Terms
Simplifying Rational Expressions
Exponents
Intercepts of a Line
Completing the Square
Order of Operations
Factoring Trinomials
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Collecting Like Terms
Solving Equations with Radicals and Exponents
Percent of Change
Powers of ten (Scientific Notation)
Comparing Integers on a Number Line
Solving Systems of Equations Using Substitution
Factoring Out the Greatest Common Factor
Families of Functions
Monomial Factors
Multiplying and Dividing Complex Numbers
Properties of Exponents
Multiplying Square Roots
Radicals
Adding or Subtracting Rational Expressions with Different Denominators
Expressions with Variables as Exponents
The Quadratic Formula
Writing a Quadratic with Given Solutions
Simplifying Square Roots
Adding and Subtracting Square Roots
Adding and Subtracting Rational Expressions
Combining Like Radical Terms
Solving Systems of Equations Using Substitution
Dividing Polynomials
Graphing Functions
Product of a Sum and a Difference
Solving First Degree Inequalities
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Roots and Powers
Multiplying Numbers
   
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Exponents

Imagine that you are writing a paper for your science class and need to write many verylarge numbers, such as 10,000,000,000,000. Your fingers would get pretty tired writing all those zeros. However, there is a simpler way to express these large powers of 10. An exponent is a small number placed above and to the right of a base number to show how many times the base number is multiplied by itself. For example, 100,000 is 10 multiplied by itself five times, or

10 × 10 × 10 × 10 × 10. Written in exponential form, 100,000 is .

The exponent number tells you how many zeros are in your power of 10.

PROCEDURE: To change a power of 10 into exponential form, first count the number of zeros in your power of 10. This number will be your exponent. Place the exponent above and to the right of the base number of 10.

SAMPLE PROBLEM: Write 10,000,000,000,000 in exponential form.

Step 1: Count the zeros in your powerof 10.10,000,000,000,000 has 13 zeros.

Step 2: Place your exponent above andto the right of your base number 10.

 
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