$\"\"$

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The absolute value of a number describes the distance of the number from zero.

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a.

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GEOMETRIC:

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Draw a number line.Label the integers from $\"\"$ to $\"\"$ .

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$\"\"$

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$\"\"$

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b.

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Fill in the table based on the number line drawn in part a.

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Since $\"\"$ is $\"\"$ and $\"\"$ is $\"\"$ .

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$\"\"$ . Since $\"\"$ is $\"\"$ , $\"\"$ , $\"\"$ .

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Therefore, $\"\"$ .

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TABULAR: make a table of the integers on the number line and their distance from zero.

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Case(i).

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\"\"

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$\"\"$

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$\"\"$

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$\"\"$

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\"\"

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$\"\"$

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$\"\"$

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$\"\"$

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Case(ii).

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\"\"

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$\"\"$

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$\"\"$

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$\"\"$

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\"\"

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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c.

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VERBAL:

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When $\"\"$ is less than $\"\"$ , then any number added to or subtracted from $\"\"$ will be less than the same number added to or subtracted from $\"\"$ .

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When $\"\"$ is greater than $\"\"$ , then any number added to or subtracted from $\"\"$ is greater than the same number added to or subtracted from $\"\"$ .

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$\"\"$

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d.

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ALGEBRAIC:

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When $\"\"$ , then $\"\"$ and $\"\"$ . When $\"\"$ , then $\"\"$ and $\"\"$ .

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$\"\"$

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a.Graph a number line integers from $\"\"$ to $\"\"$ .

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$\"\"$

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b.Table:

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Case(i).

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\"\"

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$\"\"$

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$\"\"$

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$\"\"$

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\"\"

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$\"\"$

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$\"\"$

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$\"\"$

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Case(ii).

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\"\"

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$\"\"$

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$\"\"$

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$\"\"$

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\"\"

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$\"\"$

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$\"\"$

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$\"\"$

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c.VERBAL:

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When $\"\"$ is less than $\"\"$ , then any number added to or subtracted from $\"\"$ will be less than the same number added to or subtracted from $\"\"$ .

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d.ALGEBRAIC:

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When $\"\"$ , then $\"\"$ and $\"\"$ .

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When $\"\"$ , then $\"\"$ and $\"\"$ .