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.(4 points)

Answer 1

All integers are also whole numbers, but not all whole numbers are integers.

Integers include all positive and negative numbers, including zero and their associated opposites. Therefore, since whole numbers consist of positive integers, zero, and natural numbers, which are positive integers excluding zero, all integers are also whole numbers.

For example, the integer -4 is a whole number. It is an integer because it is a negative number, and it is also a whole number because it is not a fraction or a decimal.

On the other hand, not all whole numbers are integers. Whole numbers include positive integers, zero, and natural numbers, but they do not include negative numbers.

For example, the whole number 5 is not an integer because it is a positive number, but it is not a negative number or zero.

In conclusion, all integers are also whole numbers, but not all whole numbers are integers.