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
The number 23 belongs to the following sets and subsets:
1. Rational Numbers
2. Irrational Numbers
Therefore, the correct response is Number 5: 2.
To determine the sets and subsets that the number 23 belongs to, we need to analyze its properties.
1. Rational Numbers: Rational numbers are numbers that can be expressed as a fraction, where both the numerator and denominator are integers. Since 23 can be expressed as 23/1, it is a rational number.
2. Integers: Integers include all whole numbers (positive, negative, or zero) and their additive inverses. Since 23 is a positive whole number, it is an integer.
3. Whole Numbers: Whole numbers include all positive integers and zero. Since 23 is a positive integer, it is a whole number.
4. Natural Numbers: Natural numbers include all positive integers. Since 23 is a positive integer, it is a natural number.
5. Irrational Numbers: Irrational numbers cannot be expressed as a fraction and their decimal representation goes on infinitely without repeating. Since 23 can be expressed as a finite decimal (23.000...), it is not an irrational number.
Based on the above information, the number 23 belongs to the following sets and subsets: Rational Numbers, Integers, Whole Numbers, and Natural Numbers.
The correct answer is Number 1: Rational Numbers, Integers, Whole Numbers, Natural Numbers
To determine which sets and subsets the number 23 belongs to, we need to understand the definitions of each set.
1. Rational Numbers: Rational numbers are numbers that can be expressed as a fraction, where the numerator and denominator are both integers and the denominator is not zero. Since 23 can be expressed as 23/1, it is a rational number.
2. Integers: Integers are whole numbers (both positive and negative) and zero. Since 23 is a positive whole number, it is an integer.
3. Whole Numbers: Whole numbers are non-negative integers, including zero. Since 23 is a positive whole number, it is a whole number.
4. Natural Numbers: Natural numbers are the positive integers, excluding zero. Since 23 is a positive integer, it is a natural number.
5. Irrational Numbers: Irrational numbers cannot be expressed as a fraction and have non-terminating, non-repeating decimal representations. Since 23 can be expressed as a fraction and does not have a non-repeating decimal representation, it is not an irrational number.
From the explanations above, we can conclude that the number 23 belongs to the following sets and subsets: Rational Numbers, Integers, Whole Numbers, and Natural Numbers.
Therefore, you should enter the number 1: Rational Numbers, Integers, Whole Numbers, Natural Numbers as your response.