Rational Numbers ~ Rational Numbers and the Absolute Value Rational Numbers ~ Rational Numbers and the Absolute Value

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 numbers 1, 2, 3, … are called positive integers. Zero is neither negative nor positive.

Absolute Value

Absolute value only asks "How far?" not "In which direction?"

Absolute Value This means not only that | 3 | = 3, because 3 is three units to the right of zero, but also that | –3 | = 3, because –3 is three units to the left of zero.

Absolute Value The absolute value notation is bars | |. It is not parentheses ( ) or brackets { }.

Simplify a.|9| + |-9| Absolute Value

Simplify a.|9| + |-9| |9| + |-9| = Absolute Value

Simplify a.|9| + |-9|| |9| + |-9| = = 18 Absolute Value

Simplify a.|9| + |-9|| |9| + |-9| = = 18 b.|13| - |-2| Absolute Value

Simplify a.|9| + |-9|| |9| + |-9| = = 18 b.|13| - |-2| |13| - |-2| = 13 – 2 Absolute Value

Simplify a.|9| + |-9|| |9| + |-9| = = 18 b.|13| - |-2| |13| - |-2| = 13 – 2 = 11 Absolute Value

Evaluate the expression |x| - 7 if x = - 13 Absolute Value

Evaluate the expression |x| - 7 if x = - 13 |x| - 7 = |-13| - 7 Absolute Value

Evaluate the expression |x| - 7 if x = - 13 |x| - 7 = |-13| - 7 = 13 – 7 Absolute Value

Evaluate the expression |x| - 7 if x = - 13 |x| - 7 = |-13| - 7 = 13 – 7 = 6 Absolute Value

Student Activity You will now receive a worksheet. Turn the worksheet in when completed.

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