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Describe all the sets and subsets the number 64−−√ belongs to and enter the number corresponding to the correct answer as your...Question
Describe all the sets and subsets the number 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)
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GPT-4o mini
The square root of 64 is 8, which is a whole number. Therefore, we can categorize the number as follows:
1. **Natural Numbers**: Yes, it is a natural number (1, 2, 3, ...).
2. **Whole Numbers**: Yes, all natural numbers are whole numbers (0, 1, 2, 3, ...).
3. **Integers**: Yes, all whole numbers are integers (..., -2, -1, 0, 1, 2, ...).
4. **Rational Numbers**: Yes, it can be expressed as the fraction 8/1.
Therefore, the number 64−−√ belongs to the sets: Rational Numbers, Integers, Whole Numbers, and Natural Numbers.
The correct answer corresponds to "Number 1": Rational Numbers, Integers, Whole Numbers, Natural Numbers.
So, the response is **1**.
1. **Natural Numbers**: Yes, it is a natural number (1, 2, 3, ...).
2. **Whole Numbers**: Yes, all natural numbers are whole numbers (0, 1, 2, 3, ...).
3. **Integers**: Yes, all whole numbers are integers (..., -2, -1, 0, 1, 2, ...).
4. **Rational Numbers**: Yes, it can be expressed as the fraction 8/1.
Therefore, the number 64−−√ belongs to the sets: Rational Numbers, Integers, Whole Numbers, and Natural Numbers.
The correct answer corresponds to "Number 1": Rational Numbers, Integers, Whole Numbers, Natural Numbers.
So, the response is **1**.
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