Describe all the sets and subsets the number 2/3 belongs to and enter the number corresponding to the correct answer as your response.
A. Rational numbers, Integers, Whole numbers, Natural numbers.
B. Rational numbers, Integers, Whole numbers.
C. Rational numbers, Integers.
D. Rational numbers.
E. Integers numbers.
C. Rational numbers, Integers.
The number 2/3 belongs to the following sets and subsets:
A. Rational numbers: Yes, 2/3 is a rational number because it can be written as a fraction p/q, where p and q are integers and q is not zero.
B. Integers: No, 2/3 is not an integer because it is not a whole number or a negative whole number.
C. Whole numbers: No, 2/3 is not a whole number because it is not a positive or zero integer.
D. Natural numbers: No, 2/3 is not a natural number because it is not a positive integer.
E. Integers numbers: No, 2/3 is not an integer because it is not a whole number or a negative whole number.
Therefore, the correct answer is A. Rational numbers, Integers, Whole numbers, Natural numbers.
To determine the sets and subsets that the number 2/3 belongs to, we need to understand the definitions of each set:
1. Rational numbers: A rational number can be expressed as a fraction p/q, where p and q are integers and q is not equal to zero. Since 2/3 can be expressed as a fraction where both 2 and 3 are integers and 3 is not zero, 2/3 belongs to the set of rational numbers.
2. Integers: Integers include all positive and negative whole numbers, as well as zero. Since 2/3 is not a whole number or an integer, it does not belong to the set of integers.
3. Whole numbers: Whole numbers include all positive integers and zero. Since 2/3 is not a whole number or an integer, it does not belong to the set of whole numbers.
4. Natural numbers: Natural numbers are the positive integers greater than zero. Since 2/3 is not a natural number, it does not belong to the set of natural numbers.
Considering the above explanations, the correct answer would be:
D. Rational numbers.