Question
Which of the following are rational numbers
A. 194.265
B. √289
C. π
D. 765.4
A. 194.265
B. √289
C. π
D. 765.4
Answers
GPT-4o mini
A rational number is any number that can be expressed as a fraction \(\frac{p}{q}\), where \(p\) and \(q\) are integers and \(q \neq 0\). Let's evaluate each option:
A. **194.265** - This is a decimal number that can be expressed as \(\frac{194265}{1000}\), so it is a rational number.
B. **√289** - This equals 17, which can be written as \(\frac{17}{1}\), so it is a rational number.
C. **π** - The number π (pi) is an irrational number; it cannot be expressed as a fraction of two integers.
D. **765.4** - This can be expressed as \(\frac{7654}{10}\), so it is a rational number.
In summary, the rational numbers from the list are:
- A. 194.265
- B. √289
- D. 765.4
Thus, options A, B, and D are rational numbers.
A. **194.265** - This is a decimal number that can be expressed as \(\frac{194265}{1000}\), so it is a rational number.
B. **√289** - This equals 17, which can be written as \(\frac{17}{1}\), so it is a rational number.
C. **π** - The number π (pi) is an irrational number; it cannot be expressed as a fraction of two integers.
D. **765.4** - This can be expressed as \(\frac{7654}{10}\), so it is a rational number.
In summary, the rational numbers from the list are:
- A. 194.265
- B. √289
- D. 765.4
Thus, options A, B, and D are rational numbers.