Transcript Chapter 1, Section 1

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Sec 4.1 - 1
4.1
Introduction to
Signed Fractions
Chapter 4
Rational Numbers: Positive and
Negative Fractions
Copyright © 2010 Pearson Education, Inc. All rights reserved
Sec 4.1 - 2
4.1 Introduction to Signed Fractions
Objectives
1.
Use a fraction to name part of a whole.
2.
Identify numerators, denominators, proper fractions,
and improper fractions.
3.
Graph positive and negative fractions on a number
line.
4.
Find the absolute value of a fraction.
5.
Write equivalent fractions.
Copyright © 2010 Pearson Education, Inc. All rights reserved.
Sec 4.1 - 3
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
2
are represented by the fraction . The unshaded
3
1
part is
of the figure.
3
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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
4
are represented by the fraction . The unshaded
7
3
part is
of the figure.
7
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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
is shaded.
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1
4
parts is shaded, so
5
4
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
is shaded.
Copyright © 2010 Pearson Education, Inc. All rights reserved.
1
3
parts is shaded, so
5
3
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
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 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
Objective 2: Identify numerators, denominators,
proper fractions, and improper fractions.
Example Identify all proper fractions in this
list.
Example Identify all improper fractions in
the list.
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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
number line.
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2
5
on the
Sec 4.1 - 14
Objective 3: Graph positive and negative
fractions on a number line.
Example Graph the fraction – 4 on the
5
number line.
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Sec 4.1 - 15
Objective 4: Find the absolute value of a
fraction.
Example Find each absolute value.
1
1
& –
2
2
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Sec 4.1 - 16
Objective 5: Write equivalent fractions.
1
2
There are many ways to represent the fraction .
That is,
1 2 4 8
  
2 4 8 16
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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 – 1 as an equivalent fraction
2
with a denominator of 16.
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Sec 4.1 - 19
Objective 5: Write equivalent fractions.
Example Write
12
15
as an equivalent fraction
with a denominator of 5.
Dividing 15 by 3 gives 5.
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Sec 4.1 - 20
Objective 5: Write equivalent fractions.
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Sec 4.1 - 21
Objective 5: Write equivalent fractions.
Example Simplify the fraction
5
5
by dividing
the numerator by the denominator.
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Sec 4.1 - 22
Objective 5: Write equivalent fractions.
Example Simplify the fraction – 12 by
4
dividing the numerator by the denominator.
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Sec 4.1 - 23
Objective 5: Write equivalent fractions.
Copyright © 2010 Pearson Education, Inc. All rights reserved.
Sec 4.1 - 24