Integers and absolute value
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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.

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Integers and Absolute Value

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Integers and absolute value

Integers andAbsolute Value


Integers

Integers

Integers are the whole numbers

(0, 1, 2, 3, …)

and their opposites

Integers are modeled on a number line:

-3-2-10123

(-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


Integers1

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!

  • 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

    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 value1

    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

    Evaluating Absolute Value


    Opposites

    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

    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

    Homework

    • Page

      78-79

    • #2-58 even


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