Question

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 the quotient of two integers (a/b), where \( b \neq 0 \).

Let's evaluate the options:

  1. \( 2\pi \) - This is an irrational number because \(\pi\) is not a rational number.
  2. 60 - This is a rational number because it can be expressed as \( \frac{60}{1} \).
  3. \( \sqrt{61} \) - This is an irrational number because 61 is not a perfect square.
  4. 0.37815 - This is a rational number because it can be expressed as \( \frac{37815}{100000} \).

Among the options, both 60 and 0.37815 are rational numbers.

So, the answer is 60 (though 0.37815 is also a rational number, the question implies selecting one).