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Arithmetic Operations with Numerical Fractions
Multiplying a Polynomial by a Monomial
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Simplifying Fractions 3
Factoring quadratics
Special Products
Writing Fractions as Percents
Using Patterns to Multiply Two Binomials
Adding and Subtracting Fractions
Solving Linear Inequalities
Adding Fractions
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Example 6
Dividing Monomials
Multiplication can Increase or Decrease a Number
Graphing Horizontal Lines
Simplification of Expressions Containing only Monomials
Decimal Numbers
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Powers of i
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Finding the Coordinates of a Point
Fractions and Decimals
Rational Expressions
Solving Equations by Factoring
Slope of a Line
Percent Introduced
Reducing Rational Expressions to Lowest Terms
The Hyperbola
Standard Form for the Equation of a Line
Multiplication by 75
Solving Quadratic Equations Using the Quadratic Formula
Raising a Product to a Power
Solving Equations with Log Terms on Each Side
Monomial Factors
Solving Inequalities with Fractions and Parentheses
Division Property of Square and Cube Roots
Multiplying Two Numbers Close to but less than 100
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Equations of Circles
Percents and Decimals
Integral Exponents
Linear Equations - Positive and Negative Slopes
Multiplying Radicals
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Simplifying Rational Expressions
Adding and Subtracting Unlike Fractions
Graphuing Linear Inequalities
Linear Functions
Solving Quadratic Equations by Using the Quadratic Formula
Adding and Subtracting Polynomials
Adding and Subtracting Functions
Basic Algebraic Operations and Simplification
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Axis of Symmetry and Vertices
Factoring Polynomials with Four Terms
Evaluation of Simple Formulas
Graphing Systems of Equations
Scientific Notation
Lines and Equations
Horizontal and Vertical Lines
Solving Equations by Factoring
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Adding and Subtracting Rational Expressions with Different Denominators
Adding and Subtracting Fractions
Solving Linear Equations
Simple Trinomials as Products of Binomials
Solving Nonlinear Equations by Factoring
Solving System of Equations
Exponential Functions
Computing the Area of Circles
The Standard Form of a Quadratic Equation
The Discriminant
Dividing Monomials Using the Quotient Rule
Squaring a Difference
Changing the Sign of an Exponent
Adding Fractions
Powers of Radical Expressions
Steps for Solving Linear Equations
Quadratic Expressions Complete Squares
Fractions 1
Properties of Negative Exponents
Factoring Perfect Square Trinomials
Solving Quadratic Equations Using the Square Root Property
Dividing Rational Expressions
Quadratic Equations with Imaginary Solutions
Factoring Trinomials Using Patterns
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Percents and Decimals

Objective Learn how percents and decimals are related, and how to convert from one to the other.

In this lesson, you will learn a technique for relating decimals to percents. You should realize that the calculations involved in converting decimals to percents are easier, since percents represent ratios that compare a number to 100, and decimals represent fractions with denominators that are powers of 10.


Expressing a Decimal as a Percent

The following example shows how a proportion can be used to change a decimal to a percent.


Example 1

Convert 0.365 to a percent.


We need to change the decimal 0.365 to a percent. First express 0.365 as a fraction.

To find the percent, set up and solve a proportion.

100 · 365 = 1,000 · x Cross multiply.
36,500 = 1,000 x Divide each side by 1,000.
36.5 = x  


Expressing a Percent as a Decimal

Let's see how to reverse the procedure. In other words, how does one express a percent as a decimal? This change can be accomplished by simply writing the percent as a fraction with 100 as the denominator, and then changing that fraction to a decimal. Here are some good examples.


Example 2

Express 23% as a decimal.


Write 23% as a fraction with a denominator of 100.

Dividing by 100 results in the movement of the decimal point in the divisor two places to the left. So, . Therefore, 23% = 0.23.


Example 3


Example 4

Computing with percents is an extremely important skill. Be sure to solve numerous problems by yourself. This will help you solidify your understanding of the concept of percent, as well as help with your computational skills involving decimals.

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