2. 4.1 Introduction to Signed Fractions
Chapter 4 Rational Numbers: Positive and
Negative Fractions

3. 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.
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4. Objective 1: Use a fraction to name part of a whole.
Copyright © 2010 Pearson Education, Inc. All rights reserved.
Sec

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 3 equal parts. The 2 shaded parts are represented by the fraction . The unshaded part is of the figure.
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Sec

6. 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.
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Sec

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.
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Sec

8. 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

9. Objective 2: Identify numerators, denominators, proper fractions, and improper fractions.
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10. 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
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Sec

11. Objective 2: Identify numerators, denominators, proper fractions, and improper fractions.
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12. 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.
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Sec

13. Objective 2: Identify numerators, denominators, proper fractions, and improper fractions.
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Sec

14. Objective 3: Graph positive and negative fractions on a number line.
Example
Graph the fraction on the number line.
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15. Objective 3: Graph positive and negative fractions on a number line.
Example
Graph the fraction – on the number line.
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16. Objective 4: Find the absolute value of a fraction.
Example
Find each absolute value. –
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17. Objective 5: Write equivalent fractions.
There are many ways to represent the fraction .
That is,
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18. Objective 5: Write equivalent fractions.
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19. Objective 5: Write equivalent fractions.
Example
Write – as an equivalent fraction with a denominator of 16.
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20. Objective 5: Write equivalent fractions.
Example
Write as an equivalent fraction with a denominator of 5.
Dividing 15 by 3 gives 5.
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21. Objective 5: Write equivalent fractions.
Copyright © 2010 Pearson Education, Inc. All rights reserved.
Sec

22. Objective 5: Write equivalent fractions.
Example
Simplify the fraction by dividing the numerator by the denominator.
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Sec

23. Objective 5: Write equivalent fractions.
Example
Simplify the fraction – by dividing the numerator by the denominator.
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Sec

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