- [(-20:4) + 3·(-5)·(-15 + 15)] : (-5) =



Let's break down the expression step by step:

\[
\frac{\left[ \frac{-20}{4} + 3 \cdot (-5) \cdot (-15 + 15) \right]}{-5}
\]

### Step 1: Simplify inside the brackets
First, handle the operations inside the brackets:

- \(-20 \div 4 = -5\)
- Inside the second term: \((-15 + 15) = 0\)
- So, \(3 \cdot (-5) \cdot 0 = 0\)

Now the expression simplifies to:

\[
\frac{-5 + 0}{-5} = \frac{-5}{-5}
\]

### Step 2: Final Division
\[
\frac{-5}{-5} = 1
\]

So, the value of the expression is **1**.

Would you like more details on any of these steps? Here are some related questions you can explore:

1. How do you simplify expressions with multiple operations?
2. What is the order of operations in mathematical expressions?
3. How do negative numbers affect multiplication and division?
4. How do brackets and parentheses change the order of solving equations?
5. What happens when you divide or multiply by zero?

**Tip**: Always simplify inside parentheses and brackets first before moving on to other operations!

Solve the expression (-20:4) + 3·(-5)·(-15 + 15) : (-5) using basic arithmetic operations and the order of operations (PEMDAS). The problem covers concepts like division, multiplication, and the zero property of multiplication, suitable for students in Grades 6-8.

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