https://file.aiquickdraw.com/mathbot/file/1726803059430owje6kz6.jpg

Let's start by solving the problems from 10 to 20.

### 10) 
\[
| -71 | - | -23 + 57 | - 22 = 71 - |34| - 22 = 71 - 34 - 22 = 15
\]

### 11)
\[
82 + | -15 - 75 | - | -3 | = 82 + | -90 | - 3 = 82 + 90 - 3 = 169
\]

### 12)
\[
54 + 47 - | -25 + 19 | = 54 + 47 - | -6 | = 54 + 47 - 6 = 95
\]

### 13)
\[
| -3 + 14 | + | 8 + 5 | - 2 = | 11 | + | 13 | - 2 = 11 + 13 - 2 = 22
\]

### 14)
\[
-9 + 74 - | 87 - 33 - 7 | = -9 + 74 - | 47 | = -9 + 74 - 47 = 18
\]

### 15)
\[
| 56 | - | -21 - 10 | - 8 = 56 - | -31 | - 8 = 56 - 31 - 8 = 17
\]

### 16)
\[
47 + | -72 | - 69 = 47 + 72 - 69 = 50
\]

### 17)
\[
| -8 + 11 - 4 | + | 4 + 7 | = | -1 | + | 11 | = 1 + 11 = 12
\]

### 18)
\[
| 12 - 4 | - | -8 + 8 | - 1 = | 8 | - | 0 | - 1 = 8 - 0 - 1 = 7
\]

### 19)
\[
| 31 | - | -51 | + 82 = 31 - 51 + 82 = 62
\]

### 20)
\[
| -7 + 14 | + | 8 | - | 2 + 9 | = | 7 | + 8 - | 11 | = 7 + 8 - 11 = 4
\]

### Solutions:
10) 15  
11) 169  
12) 95  
13) 22  
14) 18  
15) 17  
16) 50  
17) 12  
18) 7  
19) 62  
20) 4

Would you like more details or any clarifications?

Here are five related questions:
1. How do we handle absolute values in complex expressions?
2. Why does the absolute value always return a non-negative result?
3. What happens if we take the absolute value of a positive number?
4. How do we simplify nested absolute value expressions?
5. Can you give an example where absolute values are used in real-world problems?

**Tip**: When simplifying absolute value expressions, always handle each term inside the absolute sign separately before continuing with the rest of the expression.

This page offers step-by-step solutions to absolute value problems, covering key arithmetic concepts and simplification techniques. 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