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The question in the image asks whether \( 7.787887888\ldots \) is a rational number. Let's analyze it.

The number \( 7.787887888\ldots \) appears to have a repeating decimal pattern: after the first "7," the digits "88" repeat. This type of repeating pattern is characteristic of a rational number. A rational number is defined as any number that can be expressed as the ratio of two integers, and one of the key characteristics of rational numbers in decimal form is that their decimals either terminate or repeat.

Thus, the correct answer is:

- **Yes, it has a pattern which is repeating.**

Would you like further details on rational numbers or this specific type of repeating decimal?

Here are five related questions you might find helpful:
1. How do you convert repeating decimals into fractions?
2. What is the difference between rational and irrational numbers?
3. Can all repeating decimals be expressed as rational numbers?
4. How do you prove that a decimal is repeating or non-repeating?
5. What are some examples of irrational numbers with non-repeating decimals?

**Tip:** A rational number's decimal expansion will either terminate or repeat. Non-terminating, non-repeating decimals are the hallmark of irrational numbers.

Determine whether 7.787887888... is a rational number by analyzing its repeating decimal pattern. Explore the characteristics of rational numbers and how to recognize repeating decimals. Suitable for students in Grades 7-9.

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