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).