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)
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.
Integers and whole numbers are closely related but not identical.
Whole numbers are a set of numbers that includes all the positive numbers (including zero) without any fractional or decimal parts. They are denoted by the symbol "W". Examples of whole numbers are 0, 1, 2, 3, 4, etc.
Integers, on the other hand, are a set of numbers that includes all the positive and negative numbers, as well as zero, without any fractional or decimal parts. They are denoted by the symbol "Z". Examples of integers are -3, -2, -1, 0, 1, 2, 3, etc.
Based on the definitions, it is clear that all integers are whole numbers because the set of whole numbers includes zero and all positive numbers, which are all part of the set of integers.
However, not all whole numbers are integers. Whole numbers include only the positive numbers and zero, while integers include both the positive and negative numbers, as well as zero. So, any negative number would be an example of an integer that is not a whole number. For example, -4 is an integer but not a whole number.