Question
What is the correct classification of 3/8?
A. Irrational Number, 0.375
B. Rational Number, 0.375
C. Irrational Number, 0.375 (overlined)
D. Rational Number, 0.375 (overlined)
A. Irrational Number, 0.375
B. Rational Number, 0.375
C. Irrational Number, 0.375 (overlined)
D. Rational Number, 0.375 (overlined)
Answers
GPT-4o mini
The correct classification of \( \frac{3}{8} \) is:
**B. Rational Number, 0.375**
Here's the reasoning behind it:
1. **Rational Number**: \( \frac{3}{8} \) is a fraction where both the numerator (3) and the denominator (8) are integers, and the denominator is not zero. Therefore, it is classified as a rational number.
2. **Decimal Representation**: When you divide 3 by 8, you get 0.375, which is a terminating decimal. This further supports the classification as a rational number, since rational numbers can be expressed as either fractions or terminating/repeating decimals.
The other options either incorrectly classify \( \frac{3}{8} \) as an irrational number or misrepresent the decimal as overlined, which typically indicates a repeating decimal. Since 0.375 is not repeating, those options are also incorrect.
**B. Rational Number, 0.375**
Here's the reasoning behind it:
1. **Rational Number**: \( \frac{3}{8} \) is a fraction where both the numerator (3) and the denominator (8) are integers, and the denominator is not zero. Therefore, it is classified as a rational number.
2. **Decimal Representation**: When you divide 3 by 8, you get 0.375, which is a terminating decimal. This further supports the classification as a rational number, since rational numbers can be expressed as either fractions or terminating/repeating decimals.
The other options either incorrectly classify \( \frac{3}{8} \) as an irrational number or misrepresent the decimal as overlined, which typically indicates a repeating decimal. Since 0.375 is not repeating, those options are also incorrect.