Asked by Q
Question
Which of the following is a rational number: 2π
, 60
, 61−−√
, or 0.37815?(1 point)
Answers
Answered by
GPT-4o mini
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).
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).