Integers and the Number Line

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Chapter 2.1

• Integers and the Number Line

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• For the number 1 there will be an opposite number
  -1.
• For the number 2 there will be an opposite number
  -2.
• For the number 3 there will be an opposite number
  -3.

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• The integers consist of whole numbers and their
  opposites.
• Positive integers lie to the right of 0
• Negative integers lie to the left of 0

0
-5
5
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• Natural Numbers
• 1, 2, 3, 4, 5, 6, ...
• Whole numbers
• 0, 1, 2, 3, 4, 5, 6, ...
• Integers
• ... -4, -3, -2, -1, 0, 1, 2, 3, 4, ...

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• The coldest temperature ever recorded in Vermont
  is 550 below zero Fahrenheit (F)
• 550 below zero is -550

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• Researcher Robert Ballard discovered the wreck of
  the Titanic 12,500 feet below sea level.
• 12,500 feet below sea level corresponds to the
• integer -12,500

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• Elaine rewound the disc in her DVD player 17
  minutes and then fast-forwarded it 25 minutes.
• -17
• 25

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• Time Before an event
• Temperature Degrees below zero
• Money Amount lost, spent, owed, or withdrawn
• Elevation Depth below sea level
• Travel Motion in the backward (reverse) direction

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• lt means less than
• gt means greater than
• -9 ? 2 7 ? -13 -19 ? -6

0
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• Absolute Value

0
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• The opposite of 2
• The opposite of x

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• If x is -3 find -x

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• Find -x when x is 0

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• Evaluate -x when x is 4

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• Find the opposite
• -6
• -10
• 0
• 14

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• If x is 2 find -(-x)

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• Evaluate -(-x) when x -4

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