Describe all the sets and subsets the number 64−−√ 64 belongs to and enter the number corresponding to the correct answer as your response. Enter Number 1: Rational Numbers, Integers, Whole Numbers, Natural Numbers Enter Number 2: Rational Numbers, Integers, Whole Numbers Enter Number 3: Rational Numbers, Integers Enter Number 4: Rational Numbers Enter Number 5: Irrational Numbers(1 point)

Answer 1

The number \( \sqrt{64} \) equals 8, which is a positive whole number. Let's examine the sets:

1. Natural Numbers: Positive integers (1, 2, 3, ...). Since 8 is a natural number, it belongs to this set.
2. Whole Numbers: Non-negative integers (0, 1, 2, 3, ...). Since 8 is a whole number, it belongs to this set.
3. Integers: All whole numbers including negatives (..., -3, -2, -1, 0, 1, 2, 3,...). Since 8 is an integer, it belongs to this set.
4. Rational Numbers: Numbers that can be expressed as a fraction \( \frac{p}{q} \) where p and q are integers and \( q \neq 0 \). Since 8 can be expressed as \( \frac{8}{1} \), it belongs to this set.
5. Irrational Numbers: Numbers that cannot be expressed as a simple fraction. 8 is not an irrational number.

Thus, \( \sqrt{64} \) or 8 belongs to all of the following sets: Rational Numbers, Integers, Whole Numbers, and Natural Numbers.

The correct answer is Number 1: Rational Numbers, Integers, Whole Numbers, Natural Numbers.