https://file.aiquickdraw.com/mathbot/file/1727176441204odldu0z5.jpg

The expression in the image is:

\[
= 4 \cdot 5 \cdot 2 + (-1) \cdot 3 \cdot (-2) + 1 \cdot 4 \cdot 0 - (-2) \cdot 5 \cdot 1 - 0 \cdot 3 \cdot 4 - 2 \cdot 4 \cdot (-1)
\]

Let’s break it down and solve it step-by-step:

### Step 1: Calculate each term
- \( 4 \cdot 5 \cdot 2 = 40 \)
- \( (-1) \cdot 3 \cdot (-2) = 6 \) (because multiplying two negative numbers gives a positive result)
- \( 1 \cdot 4 \cdot 0 = 0 \)
- \( (-2) \cdot 5 \cdot 1 = -10 \)
- \( 0 \cdot 3 \cdot 4 = 0 \)
- \( 2 \cdot 4 \cdot (-1) = -8 \)

### Step 2: Combine the results
\[
40 + 6 + 0 - (-10) - 0 - 8
\]

### Step 3: Simplify the expression
\[
40 + 6 + 10 - 8 = 48
\]

Thus, the value of the expression is **48**.

Would you like more details on the steps, or have any questions?

Here are 5 questions to expand your knowledge:
1. What are the rules for multiplying negative and positive numbers?
2. How does multiplying by zero affect an expression?
3. What is the significance of parentheses in mathematical operations?
4. How can you apply the distributive property in expressions like this?
5. What are the common pitfalls when handling multiple signs in calculations?

**Tip:** Always evaluate multiplication and division before addition and subtraction when solving expressions!

Evaluate the expression 4·5·2 + (-1)·3·(-2) + 1·4·0 - (-2)·5·1 - 0·3·4 - 2·4·(-1).

This problem involves simplifying an expression with multiplication of integers, including positive and negative numbers. It follows key principles of algebra and the order of operations, providing a step-by-step solution. Suitable for students in Grades 6-8.

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