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The problem asks to select all the expressions that can be used to find the quotient of \( 104 \div 8 \), which equals 13.

Let's evaluate the options one by one:

### Option A: \( (8 \times 10) + (8 \times 3) \)
- \( 8 \times 10 = 80 \)
- \( 8 \times 3 = 24 \)
- \( 80 + 24 = 104 \)

This is valid, because 104 is split into two terms, both multiples of 8, and dividing the final result by 8 gives 13.

### Option B: \( (8 + 10) \times (8 + 3) \)
- \( 8 + 10 = 18 \)
- \( 8 + 3 = 11 \)
- \( 18 \times 11 = 198 \)

This is incorrect because the multiplication results in 198, which is not related to 104.

### Option C: \( 8 \times (4 + 9) \)
- \( 4 + 9 = 13 \)
- \( 8 \times 13 = 104 \)

This is valid, because multiplying 8 by 13 results in 104, and dividing 104 by 8 gives 13.

### Option D: \( (8 \times 5) + (8 \times 8) \)
- \( 8 \times 5 = 40 \)
- \( 8 \times 8 = 64 \)
- \( 40 + 64 = 104 \)

This is valid, because both terms are multiples of 8, and adding them gives 104, which when divided by 8 results in 13.

### Option E: \( 8 + (5 \times 8) \)
- \( 5 \times 8 = 40 \)
- \( 8 + 40 = 48 \)

This is incorrect, because the result is 48, which is not related to 104.

### Conclusion:
The correct answers are:
- **A**: \( (8 \times 10) + (8 \times 3) \)
- **C**: \( 8 \times (4 + 9) \)
- **D**: \( (8 \times 5) + (8 \times 8) \)

Let me know if you need further details!

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Here are 5 related questions for deeper understanding:
1. How can you simplify expressions involving multiplication and addition with distributive property?
2. What are the key differences between the associative and distributive properties of multiplication?
3. How does the order of operations (PEMDAS) affect solving these types of expressions?
4. Can you express 104 as a product of two other factors?
5. Why does the expression in Option B lead to 198 instead of something related to 104?

**Tip:** Always double-check your calculations by applying basic operations step by step to ensure accuracy in complex expressions.

Select all the expressions that can be used to find the quotient 104 ÷ 8.

Learn how to solve the division of 104 ÷ 8 by selecting the correct mathematical expressions. This problem covers key concepts like multiplication, the distributive property, and more. Suitable for students in Grades 6-7.

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