Non-negative Property of Absolute Value

Simplifying Absolute Value Expressions

Evaluating $|x|$, $|-y|$, and $-|u|$ for Given Values

Defining Magnitude in Technical Reports

Auditing and Financial Deviations

Example of Absolute Value Evaluation

Example: Solving Basic Absolute Value Equations

Example: Solving $|x| \leq 5$

Example: Solving $|x| < 7$

Try It: Solving $|x| < 9$ and $|x| < 1$

Example: Solving $|x| > 4$

Absolute Value Function

Evaluating $-|7|$

Introductory Example: Solving $|x| = 5$

Absolute Value Inequalities with $<$ or $\leq$

Absolute Value Inequality

Absolute Value Equations

Absolute Value Inequalities with $>$ or $\geq$

What does the absolute value of a number represent?

Two numbers are opposites, such as $5$ and $-5$. What is true about their absolute values?

Match each absolute value expression with its distance from $0$ on the number line.

Which of the following defines the absolute value of a number?

Arrange the steps in the correct order to find the absolute value of a number $n$ using a number line.

The absolute value of a number represents its _____ from $0$ on the number line.

Match each absolute value term or symbol with its meaning.

The absolute value of a number is its distance from $0$ on the number line.

Explain what absolute value means on a number line. Why is the absolute value of a number never negative? Finally, explain why opposite numbers like $12$ and $-12$ have the same absolute value.