PreAlgebra 2e

1 Whole Numbers
10 Topics
Introduction
1.1 Introduction to Whole Numbers
1.2 Add Whole Numbers
1.3 Subtract Whole Numbers
1.4 Multiply Whole Numbers
1.5 Divide Whole Numbers
Key Terms
Key Concepts
Review Exercises
Practice Test
2 The Language of Algebra
10 Topics
Introduction to the Language of Algebra
2.1 Use the Language of Algebra
2.2 Evaluate, Simplify, and Translate Expressions
2.3 Solving Equations Using the Subtraction and Addition Properties of Equality
2.4 Find Multiples and Factors
2.5 Prime Factorization and the Least Common Multiple
Key Terms
Key Concepts
Review Exercises
Practice Test
3 Integers
10 Topics
Introduction to Integers
3.1 Introduction to Integers
3.2 Add Integers
3.3 Subtract Integers
3.4 Multiply and Divide Integers
3.5 Solve Equations Using Integers; The Division Property of Equality
Key Terms
Key Concepts
Review Exercises
Practice Test
4 Fractions
12 Topics
Introduction to Fractions
4.1 Visualize Fractions
4.2 Multiply and Divide Fractions
4.3 Multiply and Divide Mixed Numbers and Complex Fractions
4.4 Add and Subtract Fractions with Common Denominators
4.5 Add and Subtract Fractions with Different Denominators
4.6 Add and Subtract Mixed Numbers
4.7 Solve Equations with Fractions
Key Terms
Key Concepts
Review Exercises
Practice Test
5 Decimals
12 Topics
Introduction to Decimals
5.1 Decimals
5.2 Decimal Operations
5.3 Decimals and Fractions
5.4 Solve Equations with Decimals
5.5 Averages and Probability
5.6 Ratios and Rate
5.7 Simplify and Use Square Roots
Key Terms
Key Concepts
Review Exercises
Practice Test
6 Percents
10 Topics
Introduction to Percents
6.1 Understand Percent
6.2 Solve General Applications of Percent
6.3 Solve Sales Tax, Commission, and Discount Applications
6.4 Solve Simple Interest Applications
6.5 Solve Proportions and their Applications
Key Terms
Key Concepts
Review Exercises
Practice Test
7 The Properties of Real Numbers
10 Topics
Introduction
7.1 Rational and Irrational Numbers
7.2 Commutative and Associative Properties
7.3 Distributive Property
7.4 Properties of Identity, Inverses, and Zero
7.5 Systems of Measurement
Key Terms
Key Concepts
Review Exercises
Practice Test
8 Solving Linear Equations
9 Topics
Introduction to Solving Linear Equations
8.1 Solve Equations Using the Subtraction and Addition Properties of Equality
8.2 Solve Equations Using the Division and Multiplication Properties of Equality
8.3 Solve Equations with Variables and Constants on Both Sides
8.4 Solve Equations with Fraction or Decimal Coefficients
Key Terms
Key Concepts
Review Exercises
Practice Test
9 Math Models and Geometry
12 Topics
Introduction
9.1 Use a Problem Solving Strategy
9.2 Solve Money Applications
9.3 Use Properties of Angles, Triangles, and the Pythagorean Theorem
9.4 Use Properties of Rectangles, Triangles, and Trapezoids
9.5 Solve Geometry Applications: Circles and Irregular Figures
9.6 Solve Geometry Applications: Volume and Surface Area
9.7 Solve a Formula for a Specific Variable
Key Terms
Key Concepts
Review Exercises
Practice Test
10 Polynomials
11 Topics
Introduction to Polynomials
10.1 Add and Subtract Polynomials
10.2 Use Multiplication Properties of Exponents
10.3 Multiply Polynomials
10.4 Divide Monomials
10.5 Integer Exponents and Scientific Notation
10.6 Introduction to Factoring Polynomials
Key Terms
Key Concepts
Review Exercise
Practice Test
11 Graphs
9 Topics
Graphs
11.1 Use the Rectangular Coordinate System
11.2 Graphing Linear Equations
11.3 Graphing with Intercepts
11.4 Understand Slope of a Line
Key Terms
Key Concepts
Review Exercises
Practice Test
A | Cumulative Review
B | Powers and Roots Tables
C | Geometric Formulas
Answer Key
11 Topics
Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Chapter 9
Chapter 10
Chapter 11
Index
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Key Concepts

PreAlgebra 2e 1 Whole Numbers Key Concepts

1.1 Introduction to Whole Numbers

A chart titled 'Place Value' with fifteen columns and 4 rows, with the columns broken down into five groups of three. The header row shows Trillions, Billions, Millions, Thousands, and Ones. The next row has the values 'Hundred trillions', 'Ten trillions', 'trillions', 'hundred billions', 'ten billions', 'billions', 'hundred millions', 'ten millions', 'millions', 'hundred thousands', 'ten thousands', 'thousands', 'hundreds', 'tens', and 'ones'. The first 8 values in the next row are blank. Starting with the ninth column, the values are '5', '2', '7', '8', '1', '9', and '4'.

Figure 1.16

  • Name a whole number in words.
    1. Step 1. Starting at the digit on the left, name the number in each period, followed by the period name. Do not include the period name for the ones.
    2. Step 2. Use commas in the number to separate the periods.
  • Use place value to write a whole number.
    1. Step 1. Identify the words that indicate periods. (Remember the ones period is never named.)
    2. Step 2. Draw three blanks to indicate the number of places needed in each period.
    3. Step 3. Name the number in each period and place the digits in the correct place value position.
  • Round a whole number to a specific place value.
    1. Step 1. Locate the given place value. All digits to the left of that place value do not change unless the digit immediately to the left is 9, in which case it may. (See Step 3.).
    2. Step 2. Underline the digit to the right of the given place value.
    3. Step 3. Determine if this digit is greater than or equal to 5. If yes—add 1 to the digit in the given place value. If that digit is 9, replace it with 0 and add 1 to the digit immediately to its left. If that digit is also a 9, repeat. If no—do not change the digit in the given place value.
    4. Step 4. Replace all digits to the right of the given place value with zeros.

1.2 Add Whole Numbers.

1.3 Subtract Whole Numbers

1.4 Multiply Whole Numbers

1.5 Divide Whole Numbers

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