Describe the relationship between integers and whole numbers. Are all integers also whole numbers? Are all whole numbers also integers? Give examples to support your answer.
Integers and whole numbers are related as subsets of the number line.
All integers are also whole numbers. Integers include all positive and negative numbers, as well as zero. Examples of integers are -3, -2, -1, 0, 1, 2, 3, etc. These numbers can be expressed without any fractional or decimal parts.
On the other hand, not all whole numbers are integers. Whole numbers consist of all positive numbers starting from zero. Examples of whole numbers are 0, 1, 2, 3, etc. These numbers do not include any negative values or fractions.
In summary, all integers are whole numbers because they include zero and positive whole numbers, but not all whole numbers are integers because they do not include any negative numbers.
Integers and whole numbers are closely related, but they are not exactly the same.
Whole numbers are numbers that are non-negative and do not have any fractional or decimal parts. They include 0, 1, 2, 3, and so on.
Integers, on the other hand, include both the positive and negative numbers, as well as zero. They include numbers like -3, -2, -1, 0, 1, 2, 3, and so on.
So, all integers are also whole numbers, but not all whole numbers are integers. For example, the number 5 is both an integer and a whole number because it is positive and has no decimal or fractional part. However, the number 2.5 is a whole number but it is not an integer because it has a decimal part.
In summary, whole numbers and integers are similar, but integers include both positive and negative numbers along with zero, while whole numbers only include non-negative numbers.