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 poi
Integers and whole numbers are closely related but there are some distinctions between the two.
Whole numbers include all positive numbers starting from zero (0), without any fractions or decimals. This means that whole numbers consist of zero (0), and all positive counting numbers (1, 2, 3, ...).
Integers, on the other hand, include not only whole numbers but also their negative counterparts and zero. In addition to zero and positive whole numbers, integers include all negative numbers. So, integers consist of negative numbers, zero, and positive whole numbers.
To illustrate the relationship between integers and whole numbers, consider the following examples:
Example 1:
-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5
In this example, all the numbers listed are integers because they include both positive and negative numbers, along with zero.
Example 2:
0, 1, 2, 3, 4, 5
In this example, only the numbers listed are whole numbers because they do not contain any negative numbers.
From these examples, it is clear that all integers are also whole numbers, as every integer can be categorized as a whole number. However, not all whole numbers are integers, as whole numbers do not include negative numbers.