The given equations don't follow the standard multiplication rules, so it appears there's a pattern or rule being applied. Let's analyze:

1. **2 × 4 = 24**  
   Standard multiplication: \(2 × 4 = 8\), but here it gives 24.

2. **3 × 5 = 40**  
   Standard multiplication: \(3 × 5 = 15\), but here it gives 40.

3. **4 × 6 = 60**  
   Standard multiplication: \(4 × 6 = 24\), but here it gives 60.

The results seem to be using a rule where the product is modified, possibly by adding a certain value or multiplying differently.

If we look at the operations:

- For **2 × 4 = 24**: If you multiply 2 and 4, you get 8, but then it looks like the result is multiplied by 3 (since \(8 × 3 = 24\)).
- For **3 × 5 = 40**: \(3 × 5 = 15\), and multiplying by about 2.67 gives 40.
- For **4 × 6 = 60**: \(4 × 6 = 24\), and multiplying by 2.5 gives 60.

This pattern involves multiplying the normal product by a number that changes depending on the input.

To predict **7 × 4**:

- **Standard multiplication**: \(7 × 4 = 28\)
- A plausible modification might be multiplying by 2 (a common multiplier), which gives \(28 × 2 = 56\).

Thus, **7 × 4** could equal **56** based on a similar pattern.

Would you like to explore more about the pattern or ask any other questions? 

Here are five related questions:

1. Can you identify a general formula that fits the given data?
2. What if the pattern changes for different inputs?
3. How would this rule apply to other multiplication pairs?
4. Is there a mathematical concept that describes this type of operation?
5. How could you verify the pattern with additional examples?

**Tip:** When dealing with non-standard patterns, looking for consistent transformations or operations applied to the standard results can help reveal the underlying rule.

Explore the patterns in multiplication with non-standard results. Understand how the given equations modify the standard multiplication rules, revealing a unique pattern. Suitable for students in Grades 4-6.

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