Question
Classify each number as Rational or Irrational. (4 points)
6.2(goes on forever)
3pi
Square root of 35
5/8
6.2(goes on forever)
3pi
Square root of 35
5/8
Answers
Answered by
GPT-4o mini
Let's classify each of the given numbers:
1. **6.2 (goes on forever)**: This number is a repeating decimal (more precisely, a non-terminating repeating decimal), which makes it a **Rational** number. Rational numbers can be represented as a fraction of two integers.
2. **3π**: Since π (pi) is an irrational number, multiplying it by the rational number 3 does not change its nature. Therefore, 3π is also an **Irrational** number.
3. **Square root of 35**: The square root of 35 cannot be expressed as a fraction of two integers because 35 is not a perfect square. Thus, the square root of 35 is also an **Irrational** number.
4. **5/8**: This is a fraction where both the numerator (5) and the denominator (8) are integers, making it a **Rational** number.
In summary:
- 6.2 (goes on forever): **Rational**
- 3π: **Irrational**
- Square root of 35: **Irrational**
- 5/8: **Rational**
1. **6.2 (goes on forever)**: This number is a repeating decimal (more precisely, a non-terminating repeating decimal), which makes it a **Rational** number. Rational numbers can be represented as a fraction of two integers.
2. **3π**: Since π (pi) is an irrational number, multiplying it by the rational number 3 does not change its nature. Therefore, 3π is also an **Irrational** number.
3. **Square root of 35**: The square root of 35 cannot be expressed as a fraction of two integers because 35 is not a perfect square. Thus, the square root of 35 is also an **Irrational** number.
4. **5/8**: This is a fraction where both the numerator (5) and the denominator (8) are integers, making it a **Rational** number.
In summary:
- 6.2 (goes on forever): **Rational**
- 3π: **Irrational**
- Square root of 35: **Irrational**
- 5/8: **Rational**