https://file.aiquickdraw.com/mathbot/file/1726222959799gcw5a1i3.jpg

The problem consists of two parts:

1. **Determine if each number is rational or irrational:**
   - **6.21352463...**: Since this number has a non-repeating, non-terminating decimal expansion, it is **irrational**.
   - **\(\sqrt[3]{27}\)**: The cube root of 27 is 3 because \( 3^3 = 27 \), so this is a **rational** number.
   - **5**: This is an integer and integers are **rational** numbers.

2. **Order the values from least to greatest:**
   - The numbers are: \(6.21352463...\) (irrational), 3 (cube root of 27), and 5.
   - Arranging them from least to greatest: **3, 5, 6.21352463...**

Would you like any further clarification or details on this?

Here are 5 related questions to deepen your understanding:
1. What makes a number rational or irrational?
2. How can you tell if a number with a decimal expansion is rational?
3. Can all roots of numbers be rational? If not, why?
4. Why is an integer considered a rational number?
5. How would the order change if one of the numbers were negative?

**Tip:** A rational number can always be written as a fraction of two integers, whereas an irrational number cannot.

Determine if each number is rational or irrational and order the values from least to greatest: 6.21352463..., ∛27, 5.

Determine if the given numbers are rational or irrational and arrange them in order: 6.21352463..., ∛27, and 5. Learn how to classify numbers based on their properties and how to order them from least to greatest. Suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation