Choose which group of sets the following number belongs to. Be sure to account for ALL sets.9
The number 9 belongs to the following groups of sets:
1. Natural numbers: The set of natural numbers includes all positive whole numbers from 1 onwards. Therefore, 9 is a natural number.
2. Whole numbers: The set of whole numbers includes all non-negative integers, including 0 and all natural numbers. Therefore, 9 is also a whole number.
3. Integers: The set of integers includes all positive and negative whole numbers, including 0. Therefore, 9 is also an integer.
4. Rational numbers: The set of rational numbers includes all numbers that can be expressed as a fraction of two integers. Since 9 can be expressed as 9/1, it is a rational number.
5. Real numbers: The set of real numbers includes all rational numbers and irrational numbers, which cannot be expressed as a fraction. Since 9 is a rational number, it is also a real number.
6. Complex numbers: The set of complex numbers includes all numbers in the form a + bi, where a and b are real numbers and i is the imaginary unit (√-1). Since 9 can be expressed as 9 + 0i, it is also a complex number.
7. Prime numbers: The set of prime numbers includes numbers that are only divisible by 1 and themselves. Since 9 is divisible by numbers other than 1 and itself (for example, 3), it is not a prime number.
Therefore, the number 9 belongs to the sets of natural numbers, whole numbers, integers, rational numbers, real numbers, complex numbers, and it is not a prime number.
To determine which group of sets the number 9 belongs to, we need more specific information about the sets you are referring to. There are various sets that could potentially include the number 9, such as:
1. Natural numbers: The set of counting numbers starting from 1 and going to infinity. The number 9 is a natural number.
2. Whole numbers: The set of counting numbers including zero and going to infinity. The number 9 is also a whole number.
3. Integers: The set of all whole numbers, including negative numbers, going to negative infinity and positive infinity. The number 9 is an integer.
4. Rational numbers: The set of numbers that can be expressed as a fraction, where the numerator and denominator are integers. The number 9 can be expressed as 9/1 and is therefore a rational number.
5. Real numbers: The set of all rational and irrational numbers. The number 9 is a real number.
6. Complex numbers: The set of numbers in the form a + bi, where a and b are real numbers and i is the imaginary unit sqrt(-1). The number 9 can be expressed as 9 + 0i and is therefore a complex number.
These are just a few examples of sets that the number 9 can belong to. It's important to provide more context or specify the sets you are referring to in order to determine the correct classification for the number.