https://file.aiquickdraw.com/mathbot/file/1727073889469y9m69xp1.jpg

Let's go over the problems one by one and solve them.

---

### Problem a:
\[
-32 \div -4 + 3 \times -2
\]
1. First, solve the division:
   \[
   -32 \div -4 = 8
   \]
2. Next, solve the multiplication:
   \[
   3 \times -2 = -6
   \]
3. Finally, add the results:
   \[
   8 + (-6) = 8 - 6 = 2
   \]
   **Answer: 2**

---

### Problem b:
\[
-2 \times 5 - 45 \div -9
\]
1. First, solve the multiplication:
   \[
   -2 \times 5 = -10
   \]
2. Next, solve the division:
   \[
   -45 \div -9 = 5
   \]
3. Finally, subtract:
   \[
   -10 - 5 = -15
   \]
   **Answer: -15**

---

### Problem c:
\[
8 \times 9 + 4 \times -5
\]
1. First, solve both multiplications:
   \[
   8 \times 9 = 72
   \]
   \[
   4 \times -5 = -20
   \]
2. Now, add the results:
   \[
   72 + (-20) = 72 - 20 = 52
   \]
   **Answer: 52**

---

### Problem d:
\[
-42 \div 7 - 48 \div 8
\]
1. First, solve both divisions:
   \[
   -42 \div 7 = -6
   \]
   \[
   48 \div 8 = 6
   \]
2. Now, subtract the results:
   \[
   -6 - 6 = -12
   \]
   **Answer: -12**

---

Do you want more details on any step or have any questions?

Here are 5 related questions:
1. How do you handle negative numbers in multiplication and division?
2. Can you explain the order of operations (BIDMAS/PEMDAS)?
3. What happens when you add or subtract negative numbers?
4. How does division by negative numbers work?
5. How can you simplify expressions involving both addition and multiplication?

**Tip:** Always remember to follow the correct order of operations to avoid mistakes when solving mixed operations!

Solve the following math problems:

1. -32 ÷ -4 + 3 × -2
2. -2 × 5 - 45 ÷ -9
3. 8 × 9 + 4 × -5
4. -42 ÷ 7 - 48 ÷ 8

Learn how to solve mixed arithmetic problems involving negative numbers and the correct order of operations. Problems include division, multiplication, and addition with step-by-step solutions for students in Grades 6-8.

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