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# Absolute value

## on Feb 08, 2012

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## Absolute valuePresentation 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