Develop this question in powerpoint format to cut and paste in presentation. What is the value of (5 to the second power – 10) ÷ 5 × 2 to the third power? Show both concrete and visual representation.

Here's a step-by-step breakdown of the mathematical expression you provided, formatted for a PowerPoint presentation with both concrete and visual representations.

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### Slide 1: **Introduction to the Problem**
**Title:** What is the value of the expression?  
**Content:**  
- Expression: \(\frac{(5^2 - 10)}{5} \times 2^3\)
- Let's solve this step by step!

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### Slide 2: **Step 1 - Simplifying the Power Operations**
**Title:** Simplifying Powers  
**Content:**  
- \(5^2 = 5 \times 5 = 25\)  
- \(2^3 = 2 \times 2 \times 2 = 8\)  

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### Slide 3: **Step 2 - Substituting the Simplified Values**
**Title:** Substituting Values into the Expression  
**Content:**  
\[
\frac{(5^2 - 10)}{5} \times 2^3 = \frac{(25 - 10)}{5} \times 8
\]
\[
= \frac{15}{5} \times 8
\]

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### Slide 4: **Step 3 - Simplifying the Division**
**Title:** Simplifying the Division  
**Content:**  
- \( \frac{15}{5} = 3 \)  
- Now the expression is:  
\[
3 \times 8 = 24
\]

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### Slide 5: **Step 4 - Final Answer**
**Title:** Final Answer  
**Content:**  
- The value of \(\frac{(5^2 - 10)}{5} \times 2^3 = 24\)

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### Slide 6: **Visual Representation**
**Title:** Visual Breakdown of the Expression  
**Content:**  
**Concrete Representation:**  
1. Power of 5: \(5^2 = 25\)  
2. Power of 2: \(2^3 = 8\)  
3. Subtract 10 from 25: \(25 - 10 = 15\)  
4. Divide by 5: \(\frac{15}{5} = 3\)  
5. Multiply by 8: \(3 \times 8 = 24\)

**Visual:**  
- Use number blocks for powers. For example, show 5 blocks of 5, 3 blocks of 2, and a subtraction/division with arrows pointing to the final result.

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### Slide 7: **Conclusion**
**Title:** Conclusion  
**Content:**  
The value of the expression \(\frac{(5^2 - 10)}{5} \times 2^3\) is **24**.

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### PowerPoint Template Tips:
1. **Use Visuals:** Show step-by-step animations of the numbers being substituted and simplified.
2. **Color Coding:** Color the parts involving powers in one color, and the operations (subtraction, division, multiplication) in another to highlight each process.

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Would you like further details on how to format or animate these steps in PowerPoint? Or do you have any specific preferences on how to visualize this?  

### Related Questions:
1. How do you handle division and multiplication when both appear in an expression?
2. What other expressions can be simplified using the same steps?
3. How would this expression change if the order of operations was different (e.g., adding parentheses)?
4. How do exponents work when they are fractional or negative?
5. Can you solve similar expressions with different powers or operations?

**Tip:** Always follow the order of operations (PEMDAS/BODMAS) when solving complex expressions—this ensures accuracy!

Learn how to simplify and solve the expression (5^2 - 10) ÷ 5 × 2^3 step-by-step. This process involves key concepts such as exponentiation and the order of operations (PEMDAS/BODMAS). The explanation includes both concrete and visual representations for better understanding. Suitable for students in Grades 6-8.

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