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# Integers and Absolute Value - PowerPoint PPT Presentation

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 1 2 3. (-1, -2, -3, …). Negative Integers. Positive Integers.

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## PowerPoint Slideshow about ' Integers and Absolute Value' - habib

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Presentation Transcript

### Integers andAbsolute Value

Integers are the whole numbers

(0, 1, 2, 3, …)

and their opposites

Integers are modeled on a number line:

-3 -2 -1 0 1 2 3

(-1, -2, -3, …)

Negative Integers

Positive Integers

• 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

• -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!

• Plotting 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 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!

• 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

=17

│5│

=5

│0│

=0

│-121│

=121

Evaluating Absolute Value

• Opposites are numbers that are the same distance from, but on opposing sides of, zero

• Opposites have the same absolute value

• Find the opposites of the following:

8

-11

121

0

-121

0

-8

11

• Plot the numbers on a number line.

• Order the numbers from left to right

• Example: -3, 4, 1, -1, 2, -4, -5

• Page

78-79

• #2-58 even