https://file.aiquickdraw.com/mathbot/file/17258404633160nrmgyii.jpg

It seems you've uploaded an image of a math worksheet or textbook page with several problems. Let me analyze and solve some of the mathematical problems listed.

The visible section contains exercises related to the "Order of Operations." Let's begin with solving a few of these problems.

### Problem 28:
\[
6 + 12 \div 4 \cdot 2 - 3
\]
According to the order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division (from left to right), Addition/Subtraction (from left to right)):

1. Division: \( 12 \div 4 = 3 \)
2. Multiplication: \( 3 \cdot 2 = 6 \)
3. Addition: \( 6 + 6 = 12 \)
4. Subtraction: \( 12 - 3 = 9 \)

Answer: **9**

---

### Problem 29:
\[
4 + (6 - 2)^2 - 10 \div 2
\]
1. Parentheses: \( (6 - 2) = 4 \)
2. Exponent: \( 4^2 = 16 \)
3. Division: \( 10 \div 2 = 5 \)
4. Perform the rest of the operations: \( 4 + 16 - 5 = 20 - 5 = 15 \)

Answer: **15**

---

### Problem 30:
\[
(2 + 3) \cdot 4^2 \div 8 - 10
\]
1. Parentheses: \( (2 + 3) = 5 \)
2. Exponent: \( 4^2 = 16 \)
3. Multiplication: \( 5 \cdot 16 = 80 \)
4. Division: \( 80 \div 8 = 10 \)
5. Subtraction: \( 10 - 10 = 0 \)

Answer: **0**

---

Would you like me to solve more problems or provide further details? Here are some relative questions based on what we covered:

1. How do you apply the order of operations in more complex equations?
2. What happens when division and multiplication occur together in an equation?
3. How does solving equations with parentheses affect the final result?
4. How are exponents handled differently from other operations?
5. Why is the order of operations important in simplifying mathematical expressions?

**Tip:** Always tackle problems step by step, following the order of operations to avoid mistakes!

Solve the problems using the order of operations.

Learn how to solve various arithmetic problems using the order of operations (PEMDAS). This worksheet provides step-by-step solutions for problems involving parentheses, exponents, multiplication, division, addition, and subtraction. 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