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The problem you're working on involves evaluating an expression using the order of operations, as seen in the image. The specific expression is:

\[ 17 - 5 \cdot 4 + 2 \]

To solve it, we need to apply the **order of operations**, often remembered by the acronym **PEMDAS** (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

### Step-by-step solution:

1. **Multiplication first**:
   \[ 5 \cdot 4 = 20 \]
   
   Now the expression becomes:
   \[ 17 - 20 + 2 \]

2. **Proceed from left to right**:
   - First, do \( 17 - 20 \):
     \[ 17 - 20 = -3 \]
   - Then add \( 2 \):
     \[ -3 + 2 = -1 \]

So, the value of the expression is:

\[
\boxed{-1}
\]

Would you like further clarification or more details?

### Related questions:
1. How do you apply the order of operations to more complex expressions with parentheses?
2. What happens when both multiplication and division appear together?
3. How can you simplify expressions with exponents using PEMDAS?
4. What is the difference between left-to-right and right-to-left operations in PEMDAS?
5. How would adding parentheses change the result of this expression?

**Tip**: Always perform multiplication and division before addition and subtraction, unless there are parentheses that change the order!

Evaluate 17 - 5 * 4 + 2 using the order of operations.

Learn how to evaluate the expression 17 - 5 * 4 + 2 using the order of operations (PEMDAS). This step-by-step solution simplifies the expression by performing multiplication first, then proceeding with addition and subtraction. Suitable for students in Grades 5-6.

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