Question

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

Answer 1

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

Let's analyze the options:

1. **\(2\pi\)**: This is an irrational number, as \(\pi\) itself is irrational.
2. **\(60\)**: This is a rational number since it can be expressed as \(\frac{60}{1}\).
3. **\(\sqrt{61}\)**: This is also an irrational number because 61 is not a perfect square.
4. **\(0.37815\)**: This is a terminating decimal, which can be expressed as \(\frac{37815}{100000}\), hence it is also a rational number.

So, the rational numbers from the given options are **60** and **0.37815**.

If you need just one rational number, the most straightforward choice would be **60**.