https://file.aiquickdraw.com/mathbot/file/1725467809888dvq15myj.jpg

Let's simplify the expression step by step:

The expression given is:

\[
|-3||2|-|5||-2|
\]

1. Start by simplifying the absolute values inside the expression:
   - \(|-3| = 3\) (since the absolute value of \(-3\) is \(3\))
   - \(|5| = 5\) (since the absolute value of \(5\) is \(5\))
   - \(|-2| = 2\) (since the absolute value of \(-2\) is \(2\))

So, the expression becomes:

\[
|3||2|-5|2
\]

2. Now, simplify the expression inside the second absolute value:

\[
|2 - 5| = |-3| = 3
\]

So, the expression simplifies to:

\[
|3|3 - 2
\]

3. Simplifying further:

\[
3 \times 3 - 2 = 9 - 2 = 7
\]

So, the final simplified expression is \(7\).

Would you like any more details or have any questions?

Here are 5 related questions:

1. What is the absolute value of a number?
2. How do you simplify nested absolute value expressions?
3. Can absolute values be negative?
4. How do you approach simplifying expressions with multiple absolute values?
5. What is the difference between absolute value and regular parentheses in an expression?

**Tip:** When simplifying expressions, always start by simplifying the innermost parentheses or absolute values.

Learn how to simplify the expression involving absolute values: |-3||2|-|5||-2|. This problem demonstrates key mathematical concepts such as absolute values and the order of operations, suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation