Certainly! Let's analyze the number 9 and identify all the categories it belongs to:
1. Rational Number: A rational number is any number that can be expressed as the quotient of two integers. The number 9 can be written as 9/1, which is a fraction of two integers. Hence, 9 is a rational number.
2. Integer: An integer is a whole number that can be positive, negative, or zero. The number 9 is a positive whole number, fitting the definition of an integer. Therefore, 9 is an integer.
3. Whole Number: Whole numbers are non-negative integers (0, 1, 2, 3, ...). Since 9 is a non-negative integer, it is also classified as a whole number.
4. Natural Number: Natural numbers are positive integers starting from 1 (1, 2, 3, ...), sometimes excluding zero. The number 9 is a positive integer, making it a natural number.
In conclusion, the number 9 falls into all the following categories:
- Rational
- Integer
- Whole
- Natural
So, the number 9 is:
- rational
- integer
- whole
- natural
