Describe all the sets and subsets the number 23 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) help!
The number 23 belongs to the following sets and subsets:
1. Rational Numbers: No, because 23 is not a fraction or a terminating/repeating decimal.
2. Integers: Yes, because 23 is a whole number without a fractional or decimal part.
3. Whole Numbers: Yes, because 23 is a positive whole number without a fractional or decimal part.
4. Natural Numbers: Yes, because 23 is a positive whole number without a fractional or decimal part.
Therefore, the correct answer is number 1: Rational Numbers, Integers, Whole Numbers, Natural Numbers.
To determine the sets and subsets that the number 23 belongs to, we need to understand the classification of numbers. Here are the options:
1. Rational Numbers: Numbers that can be expressed as a fraction or a quotient of two integers. This includes all fractions, integers, whole numbers, and natural numbers.
2. Integers: Whole numbers (both positive and negative) and their opposites, including zero.
3. Whole Numbers: Non-negative integers, including zero.
4. Natural Numbers: Positive integers (excluding zero).
Now we need to determine which sets and subsets the number 23 belongs to. Let's go through them one by one:
1. Rational Numbers: Yes, 23 can be expressed as 23/1, which is a fraction.
2. Integers: Yes, 23 is a positive integer, so it belongs here.
3. Whole Numbers: Yes, 23 is also a whole number since it is a positive integer.
4. Natural Numbers: Yes, 23 is a positive integer, so it belongs here as well.
Based on this analysis, the correct answer is Number 1: Rational Numbers, Integers, Whole Numbers, Natural Numbers.
To determine which set(s) 23 belongs to, we need to understand the hierarchy of number sets.
1. Rational Numbers: These are numbers that can be expressed as a fraction of two integers. Examples are 4/5, -3/2, and 0. Since 23 cannot be expressed as a fraction, it does not belong to this set.
2. Integers: These are all whole numbers, positive and negative, including zero. Examples are -3, 0, and 7. Since 23 is a positive whole number, it belongs to this set.
3. Whole Numbers: These are all the non-negative integers, including zero. Examples are 0, 1, 2, and 23. Since 23 is a positive whole number, it belongs to this set.
4. Natural Numbers: These are the positive integers, excluding zero. Examples are 1, 2, and 3. Since 23 is a positive integer, it belongs to this set as well.
Based on this information, the sets to which 23 belongs to are:
- Integers
- Whole Numbers
- Natural Numbers
Therefore, the correct answer is "Enter Number 1: Rational Numbers, Integers, Whole Numbers, Natural Numbers."