The number \(6.70820393\) is not a rational number. 

A rational number can be expressed as a fraction \( \frac{p}{q} \), where \( p \) and \( q \) are integers and \( q \) is not zero. The number \(6.70820393\) appears to be a decimal approximation rather than an exact value that can be expressed as a fraction. 

If the decimal repeats or terminates after a finite number of digits, it could be rational. However, since \(6.70820393\) does not terminate (beyond the digits provided) and is not clearly repeating, it is likely an approximation of an irrational number. 

For instance, it is close to \( \sqrt{45} \), which is an irrational number, approximated as \(6.7082039325...\).

**Would you like more details or have any other questions?** 

Here are 5 related questions you might find interesting:
1. What are the properties of rational and irrational numbers?
2. How can you determine if a number is rational or irrational?
3. Can the square root of any non-perfect square be rational?
4. What is the difference between terminating and repeating decimals?
5. How can you approximate irrational numbers?

**Tip:** When dealing with decimal numbers, check if they repeat or terminate to identify if they are rational.

Explore whether 6.70820393 is a rational number with a detailed explanation of rational and irrational numbers. Understand the distinction between terminating and non-terminating decimals, and learn why the number 6.70820393 is likely an approximation of an irrational number.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation