Let's solve the expression step by step:

\[
10 - (-2)(4) - 2 \div (-2)
\]

### Step 1: Handle the multiplication \((-2)(4)\)
\[
(-2)(4) = -8
\]
So, the expression becomes:
\[
10 - (-8) - 2 \div (-2)
\]

### Step 2: Simplify \(10 - (-8)\)
Subtracting a negative is equivalent to adding:
\[
10 - (-8) = 10 + 8 = 18
\]
Now the expression is:
\[
18 - 2 \div (-2)
\]

### Step 3: Perform the division \(2 \div (-2)\)
\[
2 \div (-2) = -1
\]
Now the expression becomes:
\[
18 - (-1)
\]

### Step 4: Simplify \(18 - (-1)\)
Again, subtracting a negative is equivalent to adding:
\[
18 - (-1) = 18 + 1 = 19
\]

### Final Answer:
\[
19
\]

Would you like any more details or have further questions?

Here are 5 questions related to this topic:
1. What happens when you multiply two negative numbers?
2. How does the order of operations affect complex expressions?
3. Why does subtracting a negative number result in addition?
4. Can you explain the difference between division and multiplication of negative numbers?
5. What are the steps to simplify an expression with multiple operations?

**Tip:** Always follow the order of operations (PEMDAS) to simplify expressions correctly: Parentheses, Exponents, Multiplication/Division (from left to right), Addition/Subtraction (from left to right).

Step-by-step solution to the math expression 10 - (-2)(4) - 2 ÷ (-2), focusing on the multiplication and division of negative numbers and the correct order of operations. Ideal for students in Grades 6-8.

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