Absolute value
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Absolute value

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    Absolute value Absolute value Presentation Transcript

    • Integers and Absolute Values Objective: Graph integers on a number line and find absolute value.
    • Example 1. Study the pattern of the following subtraction sentences. 5 – 1 = 4 5 – 2 = 3 5 – 3 = 2 5 – 4 = 1 5 – 5 = 0 5 – 6 = ?
    • Example 1. Study the pattern of the following subtraction sentences. 5 – 1 = 4 5 – 2 = 3 5 – 3 = 2 5 – 4 = 1 5 – 5 = 0 5 – 6 = -1 This is an example of a negative number. A negative number is less than zero.
    • Integers
    • Integers Numbers to the left of zero are less than zero.
    • Integers Numbers to the left of zero are less than zero. Numbers to the right of zero are more than zero.
    • Integers Numbers to the left of zero are less than zero. Numbers to the right of zero are more than zero. The numbers –1, -2, -3,… are called negative integers. The number negative 3 is written –3.
    • Integers Numbers to the left of zero are less than zero. Numbers to the right of zero are more than zero. The numbers –1, -2, -3,… are called negative integers. The number negative 3 is written –3. The numbers 1, 2, 3, … are called positive integers. The number positive 4 is written +4 or 4.
    • Integers Numbers to the left of zero are less than zero. Numbers to the right of zero are more than zero. The numbers –1, -2, -3,… are called negative integers. The number negative 3 is written –3. The numbers 1, 2, 3, … are called positive integers. The number positive 4 is written +4 or 4. Zero is neither negative nor positive.
    • Example 2a: Name the coordinates of D, E, and B A E C B D
    • Example 2b: Graph points F, U, and N on a number line if F has coordinate 1, U has coordinate –3, and N has coordinate 4.
    • Absolute Value Absolute Value In words: The absolute value of a number is the distance the number is from the zero point on the number line. In symbols: |4| = 4 and |-4| = 4
    • Example 3: Simplify
      • |9| + |-9|
    • Example 3: Simplify
      • |9| + |-9|
      • |9| + |-9| = 9 + 9
    • Example 3: Simplify
      • |9| + |-9||
      • |9| + |-9| = 9 + 9
      • = 18
    • Example 3: Simplify
      • |9| + |-9||
      • |9| + |-9| = 9 + 9
      • = 18
      • |13| - |-2|
    • Example 3: Simplify
      • |9| + |-9||
      • |9| + |-9| = 9 + 9
      • = 18
      • |13| - |-2|
      • |13| - |-2| = 13 – 2
    • Example 3: Simplify
      • |9| + |-9||
      • |9| + |-9| = 9 + 9
      • = 18
      • |13| - |-2|
      • |13| - |-2| = 13 – 2
      • = 11
    • Example 4: Evaluate the expression |x| - 7 if x = - 13
    • Example 4: Evaluate the expression |x| - 7 if x = - 13 |x| - 7 = |-13| - 7
    • Example 4: Evaluate the expression |x| - 7 if x = - 13 |x| - 7 = |-13| - 7 = 13 – 7
    • Example 4: Evaluate the expression |x| - 7 if x = - 13 |x| - 7 = |-13| - 7 = 13 – 7 = 6
    • Assignment: Lesson 109 do all evens