Core Connections: Course 3
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2. Section 8.2
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Exercise 91 Page 368

Practice makes perfect
Let's start by recalling the definition of the absolute value.

Absolute Value of a Number

The distance between a number and 0 on a number line

In other words, the absolute value of a number is the non-negative value of that number. The absolute value of a number a can be written as |a|. If a is a non-negative number, then the following properties hold. |a| = a and |- a| = a With this in mind, let's find the absolute value of the given number. |6| = 6

We are given the following expression. |- 17| Let's simplify the expression using the fact that the absolute value of a number is the non-negative value of that number. |- 17| = 17

Let's consider the given expression. - |- 4.5| Like in Part B, we can simplify the expression using the fact that the absolute value of a number is the non-negative value of that number. Let's do it!
- |- 4.5|
- 4.5
We want to simplify the given absolute value expression. |2-5| Let's start by calculating the expression inside the absolute value.
|2-5|
|- 3|
3
Let's analyze the given expression. |2-3* 5| We want to simplify the expression. We will start by calculating the expression inside the absolute value using the order of operations.
|2-3* 5|
|2-15|
|- 13|
13
We are asked to simplify the given expression. - 2* |- 2| Again, let's simplify the expression using the fact that the absolute value of a number is the non-negative value of that number.
- 2* |- 2|
- 2* 2
- 4