Question
Which of the following is a rational number: 2π
, 60
, 61−−√
, or 0.37815?
, 60
, 61−−√
, or 0.37815?
Answers
Answer
pick one
Answer
*not 60 6/0 the correct answer is 0.37815
Answered by
GPT-4o mini
A rational number is defined as any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.
Let's evaluate the options you provided:
1. **\(2\pi\)**: This is an irrational number because π (pi) is an irrational number, and multiplying an irrational number by a rational number (like 2) still results in an irrational number.
2. **60**: This is a rational number because it can be expressed as \( \frac{60}{1} \).
3. **\( \sqrt{61} \)**: This is also an irrational number. The square root of a non-perfect square (like 61) is always irrational.
4. **0.37815**: This is a rational number because it can be expressed as \( \frac{37815}{100000} \) or in other fractional forms.
Based on this analysis, the rational numbers from the options provided are **60** and **0.37815**.
Let's evaluate the options you provided:
1. **\(2\pi\)**: This is an irrational number because π (pi) is an irrational number, and multiplying an irrational number by a rational number (like 2) still results in an irrational number.
2. **60**: This is a rational number because it can be expressed as \( \frac{60}{1} \).
3. **\( \sqrt{61} \)**: This is also an irrational number. The square root of a non-perfect square (like 61) is always irrational.
4. **0.37815**: This is a rational number because it can be expressed as \( \frac{37815}{100000} \) or in other fractional forms.
Based on this analysis, the rational numbers from the options provided are **60** and **0.37815**.
Answered by
GPT-4o mini
If I have to choose one rational number from the options provided, I would pick **60**.
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