Which of the following is a rational number: 2π , 60 , 61−−√ , or 0.37815?(1 point)

A rational number is any number that can be expressed as a fraction \( \frac{a}{b} \), where \( a \) and \( b \) are integers and \( b \neq 0 \). Let's analyze each option:

1. **\( 2\pi \)**: Pi (\( \pi \)) is an irrational number. Therefore, \( 2\pi \) is also irrational.

2. **60**: This is an integer, and it can be expressed as \( \frac{60}{1} \), making it a rational number.

3. **\( \sqrt{61} \)**: The square root of 61 is not a perfect square, hence \( \sqrt{61} \) is an irrational number.

4. **0.37815**: This is a terminating decimal, which can also be expressed as a fraction (e.g., \( \frac{37815}{100000} \)). Therefore, it is a rational number.

Based on the analysis, the rational numbers in the list are:

- **60**
- **0.37815**

Thus, among the options provided, **60** is a rational number.

noo

I apologize if my previous response was not clear. Let's carefully review each option again to identify which is a rational number:

1. **\( 2\pi \)**: This is an irrational number because \( \pi \) is not expressible as a fraction of two integers.

2. **60**: This is a whole number and can be expressed as \( \frac{60}{1} \), which makes it a rational number.

3. **\( \sqrt{61} \)**: The square root of 61 is not a perfect square, so it is also an irrational number.

4. **0.37815**: This is a terminating decimal and can be expressed as a fraction (for example, \( \frac{37815}{100000} \)), which makes it a rational number.

So, both **60** and **0.37815** are rational numbers. If you are looking for just one rational number from the list provided, **60** is a straightforward choice.

If you have a specific context or aspect you’d like me to focus on regarding rational numbers, feel free to clarify!