Absolute Value
Key Questions
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Because it is a convenient way to make sure that a quantity is nonnegative; for example, you can define the distance between two real numbers
#a# and#b# as#|a - b|# .
I hope that this was helpful.
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The absolute value of a number is simply the distance that number lies away from 0 on the number line. Absolute value eliminates the "direction" traveled to get there. It's like saying that you walked 3 meters frontward versus 3 meters backward. You walked 3 meters in different directions from where you started!
Some examples:#|-3| = 3# and#|3|=3#
#|-9| = 9#
#|5| = 5#
#|3-11| = |-8| = 8# With a number line in front of you, you can point to any location and tell someone how far it is from 0 by just ignoring whether that point is to the left or right of 0. Think of that as "absolute value"!
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Absolute value is how far a number is away from zero |(insert number)| is the symbol for it. example: |-6| = 6, because -6 is 6 numbers away from zero. The same applies for positives. |6| = 6, because 6 is 6 numbers away from 0.
Questions
Linear Inequalities and Absolute Value
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Inequality Expressions
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Inequalities with Addition and Subtraction
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Inequalities with Multiplication and Division
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Multi-Step Inequalities
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Compound Inequalities
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Applications with Inequalities
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Absolute Value
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Absolute Value Equations
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Graphs of Absolute Value Equations
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Absolute Value Inequalities
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Linear Inequalities in Two Variables
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Theoretical and Experimental Probability