Integers and Absolute Value

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Integers and Absolute Value

• 37

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Vocabulary

• Positive numbers are greater than 0. They may be
  written with a positive sign (), but they are
  usually written without it.
• 2
• Negative numbers are less than 0. They are always
  written with a negative sign ().
• Ex-2
• Integers is a member of a set of whole numbers
  and their opposites.
• Ex-3,-2,-1,0,1,2,3,4
• Absolute Value is the distance of a number from
  zero on a number line shown by I I.
• Ex I-5I5

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You can graph positive and negative numbers on a
number line.
On a number line, opposites are the same distance
from 0 but on different sides of 0.
Integers are the set of all whole numbers and
their opposites.
Opposites
Positive Integers
Negative Integers
0 is neither negative nor positive.
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The absolute value of an integer is its distance
from 0 on a number line. The symbol for absolute
value is .
3 3 3 3
lt--3 units--gt lt--3 units--gt

• Absolute values are never negative.
• Opposite integers have the same absolute value.
• 0 0

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Identifying Positive and Negative Numbers in the
Real World Name a positive or negative number to
represent each situation. A. a jet climbing to an
altitude of 20,000 feet B. taking 15 out of
the bank C. 7 degrees below zero
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Example 1 Name a positive or negative number to
represent each situation. A. 300 feet below sea
level B. a hiker hiking to an altitude of
4,000 feet C. spending 34
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Example 2 Graphing Integers Graph each integer
and its opposite on a number line. A. 2
B. 5
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Additional Example 2 Continued Graph each integer
and its opposite on a number line. C. 1
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Additional Example 3 Finding Absolute Value Use
a number line to find the absolute value of each
integer. A. 2
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Additional Example 3 Finding Absolute Value
Continued Use a number line to find the absolute
value of each integer. B. 8
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• Additional Example 3 Finding Absolute Value
  Continued
• Use a number line to find the absolute value of
  each integer.
• A. 6

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Additional Example 3 Finding Absolute Value
Continued Use a number line to find the absolute
value of each integer. B. 4