Simplifying Absolute Value expressions

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Presentation transcript:

Simplifying Absolute Value expressions -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 Medina

Definition Absolute Value– The absolute value of a number is the distance from zero Since distance can not be negative, the absolute value of a number is always positive. However, that does not mean that an absolute value equation will only have positives value for the variable. Absolute value equation have two solutions because you can move in two different directions on the number line. Medina

Absolute Value 3 Absolute value is 3 What is the absolute value of ? Ask yourself, how many steps do you take to 3? 3 Absolute value is 3 Medina

Absolute Value 8 Absolute value is 8 What is the absolute value of ? Ask yourself, how many steps do you take to -8? 8 Absolute value is 8 Medina

_ 9 9 Absolute Value What is the absolute value of ? Ask yourself, how many steps do you take to 9? 9 But have we used the negative sign yet? 9 Medina

_ 7 7 Absolute Value What is the absolute value of ? Ask yourself, how many steps do you take to -7? 7 But have we used the negative sign yet? 7 Medina

Simplifying Absolute value expressions Step 1– simplify the expression inside the absolute value sign Step 2– Take the absolute value Step 3– Simplify the expression Medina

Simplifying Absolute value expressions Medina

Simplifying Absolute value expressions Medina

Simplifying Absolute value expressions _ _ Medina

Simplifying Absolute value expressions _ _ Medina