1. Chapter 1 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 1-1 Real Numbers

2. 2 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 1-2 1.1 – Study Skills for Success in Mathematics 1.2 – Problem Solving 1.3 – Fractions 1.4 – The Real Number System 1.5 – Inequalities and Absolute Value 1.6 – Addition of Real Numbers 1.7 – Subtraction of Real Numbers 1.8 – Multiplication and Division of Real Numbers 1.9 – Exponents, Parentheses and Order of Operations 1.10 – Properties of the Real Number System Chapter Sections

3. 3 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 1-3 Fractions

4. 4 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 1-4 Simplifying Fractions Multiplication Symbols If a and b represent any two mathematical quantities, then the following may be used to indicate multiplication: ab a ·b a(b) (a)b (a)(b) 3 times x may be written as: 3x 3·x 3(x) (3)x (3)(x)

5. 5 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 1-5 The numbers or variables that are multiplied in a multiplication problem are called Simplifying Fractions The top number of a fraction is called the numerator, and the bottom number is called the denominator.NumeratorDenominator This is the same as 3  5. factors. 2·y2·y

6. 6 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 1-6 Simplifying Fractions A fraction is simplified (or reduced to lowest terms) when the numerator and denominator have no common factors other than 1. Simplifying a Fraction 1.Find the largest number that will divide (without remainder) both the numerator and the denominator. This number is called the greatest common factor (GCF). 2.Divide both the numerator and the denominator by the GCF.

7. 7 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 1-7 Simplifying Fractions Example The GCF is 5. The GCF is 6.

8. 8 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 1-8 Multiplying Fractions  To multiply two or more fractions, multiply their numerators together and multiply their denominators together. Example:

9. 9 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 1-9 Dividing Fractions  To divide one fraction by another, multiply by the reciprocal of the divisor (the second fraction if written with ) Example:

10. 10 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 1-10 Adding & Subtracting Fractions  To add or subtract fractions with the same denominator, add or subtract the numerators and keep the common denominator. Example:

11. 11 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 1-11 Adding & Subtracting Fractions  To add (or subtract) fractions with unlike denominators, we must first rewrite each fraction with a common denominator. The smallest number that is divisible by two or more denominators is called the least common denominator (LCD). Example: The LCD is 30.

12. 12 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 1-12 Avoiding Common Errors