Describe all the sets and subsets the number 2/3 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
Enter Number 3: Rational Numbers, Integers
The number 2/3 belongs to the following sets and subsets:
1. Rational Numbers
2. Integers
3. Whole Numbers
Please enter the number corresponding to the correct answer: 2
To determine which sets and subsets the number 2/3 belongs to, we need to understand the definitions of these different number systems:
1. Rational Numbers: These are numbers that can be expressed as a ratio of two integers. The number 2/3 is a rational number because it can be written as a ratio of the integers 2 and 3.
2. Integers: These are whole numbers and their negatives. The number 2/3 is not an integer because it is a fraction between two integers.
3. Whole Numbers: These are non-negative integers (including zero). Since 2/3 is not an integer, it is also not a whole number.
4. Natural Numbers: These are positive integers (excluding zero). Again, since 2/3 is not an integer, it is also not a natural number.
Therefore, the number 2/3 belongs to the following sets and subsets:
Number 1: Rational Numbers, Integers, Whole Numbers, Natural Numbers
Number 2: Rational Numbers, Integers, Whole Numbers
Number 3: Rational Numbers, Integers
Number 4: Rational Numbers
The correct answer is Number 4.