 Are the opposite of positive numbers. -4+4  All we want to know is how far away ZERO is. -4 +4.

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Presentation transcript:

 Are the opposite of positive numbers. -4+4

 All we want to know is how far away ZERO is

 Means  “How far is that number from zero?”  Direction doesn’t matter: how many steps (one ‘unit’ each) must you take to get there?

 How far is 4 from zero? +4

 How far is 4 from zero? +4

 Because 4 is 4 units away from zero,  “The absolute value of 4 is 4”  Or, |4| = 4

 “The absolute value of 4 is 4”  |4| = 4

 “The absolute value of 4 is 4”  |4| = 4

  “The absolute value of 4 is 4”  |4| = 4

 “The absolute value of 4 is 4”  |4| = 4

  “The absolute value of 4 is 4”  |4| = 4

  “The absolute value of 4 is 4”  |4| = 4

1. |-7| = 7 ____ 2. |-5| = 5 ___ 3. |5| = 5 ____ 4. |7| = 7 ____ A. The absolute value of 7 is 7 B. The absolute value of negative 7 is 7. C. The absolute value of 5 is -5. D. The absolute value of -5 is 5. E. The absolute value of 5 is 5.

 How far is -4 from zero? -4+4

 -4 is four units from zero. -4+4

 |-4| = 4  Since -4 is 4 ‘steps’ from zero… its absolute value is Plain Old 4… Positive 4.

 What’s the pattern? 1.|-7| = 7 2.|7| = 7 3.|-5| = 5 4.|5| = 5 5. |100| = |-100| = 100

 Doesn’t matter. The answer is POSITIVE.

 The absolute value of *what* is 3?  Or… In math…  |x| = 3  What could x be?

 |3| = 3  |-3| = 3  There are two possibilities.

 The absolute value bars are the lovely fence around Absolute Value Land.  When you’re in Absolute Value Land, you can do what you wish, positively or negatively.  However, when you leave Absolute Value Land (and shake off your fence bars), you MUST MUST MUST become positive.  What happens to you outside Absolute Value Land… we have no control over.

 Are you alone?  When you see that absolute value sign, LEAP into the air like a referee at a football game and make that touchdown sign  Say “Touchdown, Absolute Value! Always Positive!”  Go out and do this in public. Or not … but you’d remember!  Or… make a flashcard and study. Maybe put the touchdown image on it…

 |-7| = __  |-8| = __  |15| = __  |-15| = __  |-32| = __  |32| = __  |4| = __  |-4| = __