Exercise 1 Page 459

The absolute value of a number is the non-negative value of that number. |a| = a and |- a| = a We are asked to order the given expressions from least to greatest. We will evaluate each of them one at a time. We will start with |2-9|.

|2-9|

SubTerm

Subtract term

|-7|

AbsNeg

|-7|=7

7

We can use the same process to evaluate the rest of the given expressions.

Given Expression	Simplified Expression
|4|	4
|2-9|	7
|6+4|	10
- |7|	- 7

Knowing the values of the given expressions, we can order them from least to greatest. - 7 < 4 < 7 < 10 ⇓ - |7| < |4| < |2-9| < |6+4|