Which one of the following is a whole number but not a natural number
1. 0
2. 22
3. 3
4. -12
4. -12
A whole number is any number without fractions or decimals and includes zero (0), positive numbers, and negative numbers. On the other hand, natural numbers are the numbers that are used for counting or ordering and exclude zero (0) and negative numbers.
Therefore, the answer to your question is 4. -12, as it is a whole number but not a natural number because it is negative.
To determine which one of the given numbers is a whole number but not a natural number, it is important to understand the definitions of these terms:
1. Natural numbers: These are the counting numbers or positive integers (1, 2, 3, 4, 5, ...). Natural numbers do not include zero or any negative numbers.
2. Whole numbers: Whole numbers include all the natural numbers (positive integers) along with zero (0). Whole numbers are represented by the set of numbers {0, 1, 2, 3, ...}.
Now, let's examine each option:
1. 0: Zero is a whole number because it does not have any fractional or decimal part. Zero is also considered an integer. Therefore, 0 is a whole number and a natural number.
2. 22: 22 is a positive integer, which makes it a natural number. It is also a whole number since it is a positive integer and zero is considered a whole number.
3. 3: Like the previous options, 3 is a positive integer, making it a natural number. It is also a whole number since zero is included in the set of whole numbers.
4. -12: -12 is a negative integer, which means it is not a natural number because natural numbers do not include negative numbers. However, since it is a whole number (as it does not have a fractional or decimal part), -12 is the correct answer to the question.
Therefore, the number that is a whole number but not a natural number is option 4: -12.