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Integers and Absolute Value. Integers. Integers are the whole numbers (0, 1, 2, 3, …) and their opposites Integers are modeled on a number line: -3-2-1 0 123. (-1, -2, -3, …). Negative Integers. Positive Integers. - PowerPoint PPT Presentation
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Integers andAbsolute Value
IntegersIntegersIntegers are the whole numbers
(0, 1, 2, 3, …)
and their opposites
Integers are modeled on a number line:
-3 -2 -1 0 1 23
•As you move to the right on a number line, the integers increase in value•As you move to the left on a number line, the integers decrease in value
Negative Integers Positive Integers
(-1, -2, -3, …)
Integers• -5 is read “negative five” NOT minus five!
• You do not need to include a + sign in front of a positive integer.
• 2 is still just 2, not +2!
• PlottingPlotting a number on a number line means to draw a dot at the point that represents that number
– Be sure to label your points!
• Draw a number line and plot the integers -6, -2, and 3.
-6 -2 0 3
Absolute Value
• Absolute value is the distance from zero on a number line.
• Because AV is a distance, it is always positive.– There is no such thing as a negative distance.– If I drive 11 miles to school, I drive 11 miles
home, not -11 miles!
Absolute Value
• AV is written with two vertical lines called absolute value signs– Ex: │7│ or │-3│
• The absolute value of 7 (│7│) is 7, because it is seven spaces away from zero on a number line
• The absolute value of -3 (│-3│) is 3, because it is three spaces away from zero on a number line
Evaluating Absolute Value
│-17│
=17
│5│
=5
│0│
=0
│-121│
=121
Opposites
• Opposites Opposites are numbers that are the same distance from, but on opposing sides of, zero
• Opposites Opposites have the same absolute value
• Find the opposites of the following:
-118
-8 11
121
-121
0
0