Integers and Absolute Values

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Integers and Absolute Values
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Example 1.Study the pattern of the following
subtraction sentences.
5 1 4 5 2 3 5 3 2 5 4 1 5 5
0 5 6 ?
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Example 1.Study the pattern of the following
subtraction sentences.
5 1 4 5 2 3 5 3 2 5 4 1 5 5
0 5 6 -1
This is an example of a negative number. A
negative number is less than zero.
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Integers
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Integers
Numbers to the left of zero are less than zero.
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Integers
Numbers to the right of zero are more than zero.
Numbers to the left of zero are less than zero.
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Integers
Numbers to the right of zero are more than zero.
Numbers to the left of zero are less than zero.
The numbers 1, -2, -3, are called negative
integers. The number negative 3 is written 3.
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Integers
Numbers to the right of zero are more than zero.
Numbers to the left of zero are less than zero.
The numbers 1, -2, -3, are called negative
integers. The number negative 3 is written 3.
The numbers 1, 2, 3, are called positive
integers. The number positive 4 is written 4 or
4.
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Integers
Numbers to the right of zero are more than zero.
Numbers to the left of zero are less than zero.
The numbers 1, -2, -3, are called negative
integers. The number negative 3 is written 3.
The numbers 1, 2, 3, are called positive
integers. The number positive 4 is written 4 or
4.
Zero is neither negative nor positive.
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Example 2a Name the coordinates of D, E, and B
A
E
C
B
D
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Example 2b Graph points F, U, and N on a number
line if F has coordinate 1, U has coordinate 3,
and N has coordinate 4.
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Absolute Value
Absolute Value In words The absolute value of a number is the distance the number is from the zero point on the number line. In symbols 4 4 and -4 4
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Example 3 Simplify

1. 9 -9

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Example 3 Simplify

• 9 -9
• 9 -9 9 9

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Example 3 Simplify

• 9 -9
• 9 -9 9 9
• 18

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Example 3 Simplify

• 9 -9
• 9 -9 9 9
• 18
• 13 - -2

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Example 3 Simplify

• 9 -9
• 9 -9 9 9
• 18
• 13 - -2
• 13 - -2 13 2

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Example 3 Simplify

• 9 -9
• 9 -9 9 9
• 18
• 13 - -2
• 13 - -2 13 2
• 11

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Example 4 Evaluate the expressionx - 7 if x
- 13
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Example 4 Evaluate the expressionx - 7 if x
- 13
x - 7 -13 - 7
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Example 4 Evaluate the expressionx - 7 if x
- 13
x - 7 -13 - 7 13 7
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Example 4 Evaluate the expressionx - 7 if x
- 13
x - 7 -13 - 7 13 7 6
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Assignment 18 46 even, 47 60 all