Question

Which of the following is a rational number: 2π
2π
6 over 2 <fraction>

√ 61 ,

, or 0.37815

Answer 1

A rational number is a number that can be expressed as the quotient (fraction) of two integers, where the denominator is not zero.

Let's evaluate the given numbers:

1. **\(2\pi\)**: This is an irrational number because \(\pi\) is irrational, and multiplying by 2 does not change that.

2. **\(\frac{6}{2}\)**: This is a rational number because it can be expressed as a fraction of two integers (6 and 2). Simplifying it gives \(3\), which is also a rational number.

3. **\(\sqrt{61}\)**: This is an irrational number because 61 is not a perfect square.

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

Among the options listed, both **\(\frac{6}{2}\)** and **0.37815** are rational numbers.