Select all the rational numbers.
	56

	11−−√

	6.565656…

	0.23

	0.32416…

	−538


Here are the numbers classified as rational or irrational:

1. **56** - Rational (it can be expressed as \( \frac{56}{1} \))
2. **\(\sqrt{11}\)** - Irrational (square root of a non-perfect square is irrational)
3. **6.565656…** - Rational (repeating decimals are rational numbers)
4. **0.23** - Rational (terminating decimal, can be written as \( \frac{23}{100} \))
5. **0.32416…** - Irrational (non-repeating, non-terminating decimal)
6. **−538** - Rational (it can be expressed as \( \frac{-538}{1} \))

Thus, the rational numbers are:  
**56, 6.565656…, 0.23, −538**

Would you like more details or have any questions?

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Here are 5 related questions for further practice:
1. Is \( \pi \) a rational or irrational number?
2. Can \( 0.333… \) be classified as a rational number? Why?
3. How do you express a repeating decimal as a fraction?
4. Are negative integers considered rational numbers? Explain.
5. What is the difference between terminating and non-terminating decimals?

**Tip:** Rational numbers can always be written as a fraction of two integers, where the denominator is non-zero.

Select all the rational numbers.

56

11−−√

6.565656…

0.23

0.32416…

−538

Learn how to identify rational and irrational numbers from a given set, including integers, square roots, repeating decimals, and non-terminating decimals. This problem helps students in Grades 6-8 strengthen their understanding of rationality and key mathematical concepts.

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