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Integers and Absolute ValuePowerPoint Presentation

Integers and Absolute Value

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### Integers andAbsolute 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

- 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

Integers Plotting a number on a number line means to draw a dot at the point that represents that number Draw a number line and plot the integers -6, -2, and 3.

- -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!

- Be sure to label your points!

-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

Opposites

- 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

Ordering Integers

- Plot the numbers on a number line.
- Order the numbers from left to right
- Example: -3, 4, 1, -1, 2, -4, -5

Homework

- Page
78-79

- #2-58 even

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