https://file.aiquickdraw.com/mathbot/file/172834902205659t6lgvf.jpg

The expression in the image is:

\[
3 + (-11) \cdot 2 : 8 - 25
\]

Let's break it down step by step:

1. **Operations inside parentheses**: 
   The term inside parentheses is \(-11\), so it remains unchanged.
   
2. **Multiplication and Division**: 
   - Multiply \((-11)\) by \(2\):
     \[
     -11 \cdot 2 = -22
     \]
   - Divide the result by 8:
     \[
     -22 : 8 = -\frac{22}{8} = -2.75
     \]

3. **Addition and Subtraction**:
   Now the expression becomes:
   \[
   3 + (-2.75) - 25
   \]
   - Add \(3\) and \(-2.75\):
     \[
     3 + (-2.75) = 0.25
     \]
   - Subtract \(25\) from \(0.25\):
     \[
     0.25 - 25 = -24.75
     \]

So, the final result is:

\[
-24.75
\]

Would you like further details or explanations on any part? Here are 5 questions to deepen your understanding:

1. How does the order of operations affect the result?
2. Why do we multiply before dividing in this expression?
3. What would happen if the parentheses were placed differently?
4. How can we interpret the division \(-22 : 8\) as a fraction?
5. Can we simplify this expression differently by changing the sequence?

**Tip**: Always remember to follow the order of operations (PEMDAS—Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

This step-by-step guide solves the arithmetic expression '3 + (-11) · 2 : 8 - 25' using the order of operations (PEMDAS). We explore multiplication, division, and handling negative numbers, suitable for Grades 6-8.

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