The number \(-5.432...\) is irrational. This is because the three dots ("...") suggest that the decimal continues indefinitely without a repeating pattern. 

A **rational number** can be expressed as a fraction of two integers (e.g., \(\frac{a}{b}\) where \(a\) and \(b\) are integers, and \(b \neq 0\)). A key characteristic of rational numbers is that their decimal expansions either terminate (e.g., 0.5) or repeat a pattern (e.g., 0.333... = \(\frac{1}{3}\)).

An **irrational number** cannot be expressed as a fraction of two integers, and its decimal expansion neither terminates nor repeats. Since the decimal expansion of \(-5.432...\) does not terminate and does not have a repeating pattern, it is irrational.

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Here are 5 related questions to explore further:
1. What is the difference between rational and irrational numbers?
2. How can you determine if a number is rational by looking at its decimal form?
3. Can a negative number be irrational? Why or why not?
4. How do irrational numbers relate to the number line?
5. What are some examples of famous irrational numbers?

**Tip:** When determining whether a number is rational or irrational, look for a repeating or terminating decimal pattern; this indicates a rational number.

Understand why -5.432... is classified as an irrational number. Learn about rational and irrational numbers, including their definitions and characteristics. Suitable for Grades 6-8.

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