Classify each number as Rational or Irrational. (4 points)

Question

6.2(goes on forever)
3pi
Square root of 35
5/8

Answer 1

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