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)

1 answer

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

Integers include all positive and negative whole numbers, as well as zero (0). Therefore, integers encompass a wider range of numbers compared to whole numbers.

For example, the number 5 is an integer because it is a positive whole number. Similarly, the number -2 is also an integer because it is a negative whole number. Zero (0) is an integer as well.

On the other hand, whole numbers consist of all positive integers and zero (0). Whole numbers do not include negative numbers.

For example, the number 3 is a whole number but not an integer because it is not negative or zero. Likewise, zero (0) is a whole number and an integer.

In conclusion, all integers are whole numbers because they include positive and negative numbers as well as zero. However, not all whole numbers are integers as they exclude negative numbers.
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