A rational number is any number that can be expressed as a fraction \(\frac{p}{q}\), where \(p\) and \(q\) are integers, and \(q \neq 0\). 

The number \(9.23157 \ldots\) appears to be a non-terminating, non-repeating decimal. Non-terminating, non-repeating decimals are considered **irrational** because they cannot be expressed as a simple fraction.

Therefore, \(9.23157 \ldots\) is **not** a rational number; it is an **irrational** number.

Would you like more details, or do you have any questions? Here are 5 related questions you might find interesting:

1. What is the difference between rational and irrational numbers?
2. How can you determine if a decimal is rational or irrational?
3. What are examples of rational numbers?
4. Can the sum of a rational and an irrational number be rational?
5. How are rational numbers represented on a number line?

**Tip:** Rational numbers include all fractions, as well as terminating and repeating decimals. Non-repeating, non-terminating decimals are always irrational.

Explore whether the number 9.23157... is rational or irrational with a detailed explanation. Learn the difference between rational and irrational numbers, and how to identify them. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation