https://file.aiquickdraw.com/mathbot/file/1726671254421mxl0ezj8.jpg

The image shows a mathematical expression to evaluate. The expression appears to be:

\[
10 / [50 - (11 - 1) \times (17 - 3) / (5 - 8)]
\]

Let's break it down step by step:

### Step 1: Simplify the terms inside the parentheses
\[
11 - 1 = 10
\]
\[
17 - 3 = 14
\]
\[
5 - 8 = -3
\]

### Step 2: Substitute these values back into the expression
\[
10 / [50 - 10 \times 14 / (-3)]
\]

### Step 3: Perform the multiplication and division inside the brackets
\[
10 \times 14 = 140
\]
\[
140 / (-3) = -46.67 \, \text{(approximately)}
\]

### Step 4: Substitute back into the expression
\[
10 / [50 - (-46.67)]
\]
\[
10 / (50 + 46.67) = 10 / 96.67
\]

### Step 5: Final division
\[
10 / 96.67 \approx 0.1035
\]

The final result is approximately **0.1035**.

Would you like further clarification or details on any step?

Here are 5 follow-up questions that could enhance your understanding:

1. How would you handle similar problems with more complex parentheses?
2. What is the effect of negative values inside the denominator of a division?
3. How does changing the order of operations (PEMDAS) affect the outcome?
4. Why is it important to perform operations inside parentheses first?
5. Can you find a situation where the order of multiplication and division matters in a different expression?

**Tip:** Always follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction) to avoid errors in calculations.

Evaluate 10 / [50 - (11 - 1) * (17 - 3) / (5 - 8)]

Learn how to evaluate the expression 10 / [50 - (11 - 1) * (17 - 3) / (5 - 8)] step by step. This problem covers key algebraic concepts like order of operations, parentheses, multiplication, and division. Suitable for students in Grades 8-10.

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