4.1 Introduction to Signed Fractions Chapter 4 Rational Numbers: Positive and Negative Fractions

4.1 Introduction to Signed Fractions Objectives Use a fraction to name part of a whole. Identify numerators, denominators, proper fractions, and improper fractions. Graph positive and negative fractions on a number line. Find the absolute value of a fraction. Write equivalent fractions. Copyright © 2010 Pearson Education, Inc. All rights reserved.

Objective 1: Use a fraction to name part of a whole. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 4.1 - 4

Objective 1: Use a fraction to name part of a whole. Example Use fractions to represent the shaded portion and the unshaded portion of the figure. The figure has 3 equal parts. The 2 shaded parts are represented by the fraction . The unshaded part is of the figure. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 4.1 - 5

Objective 1: Use a fraction to name part of a whole. Example Use fractions to represent the shaded portion and the unshaded portion of the figure. The figure has 7 equal parts. The 4 shaded parts are represented by the fraction . The unshaded part is of the figure. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 4.1 - 6

Objective 1: Use a fraction to name part of a whole. Example Use fractions to represent the shaded parts. An area equal to 5 of the parts is shaded, so is shaded. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 4.1 - 7

Objective 1: Use a fraction to name part of a whole. Example Use fractions to represent the shaded parts. An area equal to 5 of the parts is shaded, so is shaded. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 4.1 - 8

Objective 2: Identify numerators, denominators, proper fractions, and improper fractions. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 4.1 - 9

number of equal parts in the whole. Objective 2: Identify numerators, denominators, proper fractions, and improper fractions. Example Identify the numerator and denominator in the fraction. Then state the number of equal parts in the whole. 9 equal parts in the whole Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 4.1 - 10

Objective 2: Identify numerators, denominators, proper fractions, and improper fractions. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 4.1 - 11

Identify all proper fractions in this list. Example Objective 2: Identify numerators, denominators, proper fractions, and improper fractions. Identify all proper fractions in this list. Example Example Identify all improper fractions in the list. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 4.1 - 12

Objective 2: Identify numerators, denominators, proper fractions, and improper fractions. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 4.1 - 13

Objective 3: Graph positive and negative fractions on a number line. Example Graph the fraction on the number line. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 4.1 - 14

Objective 3: Graph positive and negative fractions on a number line. Example Graph the fraction – on the number line. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 4.1 - 15

Objective 4: Find the absolute value of a fraction. Example Find each absolute value. – Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 4.1 - 16

Objective 5: Write equivalent fractions. There are many ways to represent the fraction . That is, Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 4.1 - 17

Objective 5: Write equivalent fractions. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 4.1 - 18

Objective 5: Write equivalent fractions. Example Write – as an equivalent fraction with a denominator of 16. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 4.1 - 19

Objective 5: Write equivalent fractions. Example Write as an equivalent fraction with a denominator of 5. Dividing 15 by 3 gives 5. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 4.1 - 20

Objective 5: Write equivalent fractions. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 4.1 - 21

Objective 5: Write equivalent fractions. Example Simplify the fraction by dividing the numerator by the denominator. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 4.1 - 22

Objective 5: Write equivalent fractions. Example Simplify the fraction – by dividing the numerator by the denominator. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 4.1 - 23

Objective 5: Write equivalent fractions. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 4.1 - 24