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Absolute Value

Absolute Value. Objective: To find the opposite and the absolute value of an integer. Opposites. Two numbers are opposites of one another if they are represented by points that are the same distance from 0, but on opposite sides of 0. The number line below shows that -4 and +4 are opposites.

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Absolute Value

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  1. Absolute Value Objective: To find the opposite and the absolute value of an integer.

  2. Opposites • Two numbers are opposites of one another if they are represented by points that are the same distance from 0, but on opposite sides of 0. The number line below shows that -4 and +4 are opposites. 4 units left 4 units right -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7

  3. Absolute Value • The absolute value of an integer is its distance from 0 on a number line. Distance is always positive. • Absolute value is helpful when adding integers. • The absolute value of n is written |n |. So, |-4| = 4 and |4| = 4.

  4. Give the integer represented by each point. Then find its opposite and its absolute value. 1. -3 -2 -1 0 1 2 3 -9 -8 -7 -6 -5 -4 -3 Integer: -2 Opposite: +2 Absolute value: 2 Integer: Opposite: Absolute value: 2. -1 0 1 2 3 4 5 Integer: Opposite: Absolute value:

  5. Try These: • Tell why –7.5 is not an integer. • Represent -6 on a number line. • Write an integer and its opposite to describe the year 120 B.C. • Give the opposite of -7. • Give the absolute value of -10. • |-6|=____ |7|= _____

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