Which of the following is a rational number: 2π

, 60
, 61−−√
, or 0.37815?(1 point)

1 answer

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.