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

Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter – 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

Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 1-3 Addition of Real Numbers

Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 1-4 Number Lines Evaluate 3 + (- 4) using a number line 1.Always begin with 0. 2.Since the first number is positive, the first arrow starts at 0 and is drawn 3 units to the right. 3.The second arrow starts at 3 and is drawn 4 units to the left, since the second addend is negative. 3 + ( – 4) =

Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 1-5 Add Fractions The LCD is 48. Rewriting the first fraction with the LCD gives the following.

Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 1-6 Identify Opposites, Any two numbers whose sum is 0 are said to be opposites, or additive inverses, of each other. a + ( – a) = 0 The opposite of a is –a. The opposite of –a is a. Example: The opposite of –5 is 5, since –5 + 5 = 0

Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 1-7 Add Using Absolute Values To add real numbers with the same sign, add their absolute values. The sum has the same sign as the numbers being added. Example: –6 + (–9) = – = 12 The sum of two positive numbers will always be positive and the sum of two negative numbers will always be negative.

Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 1-8 Add Using Absolute Values To add two signed numbers with different signs, subtract the smaller absolute value from the larger absolute value. The answer has the sign of the number with the larger absolute value. Example: 13 + (–4) = 9– = -20 The sum of two numbers with different signs may be positive or negative. The sign of the sum will be the same as the sign of the number with the larger absolute value.