Let's analyze the given numbers to determine which of them are counting numbers.
1. Counting Numbers Definition:
Counting numbers are positive integers (1, 2, 3, 4, ...).
2. List of Given Numbers:
[tex]\[
0.5, \sqrt{36}, -1, 0, \pi, -\frac{4}{5}, 3
\][/tex]
Let's evaluate each of these numbers one by one to see if they are positive integers:
- 0.5: This is not an integer. It is a fraction and not a counting number.
- [tex]\(\sqrt{36}\)[/tex]: The square root of 36 is [tex]\(6\)[/tex], which is a positive integer. So, it is a counting number.
- -1: This is a negative integer. Counting numbers are only positive integers, so -1 is not a counting number.
- 0: This is an integer but not a positive one. Counting numbers start from 1, so 0 is not a counting number.
- [tex]\(\pi\)[/tex]: [tex]\(\pi\)[/tex] (approximately 3.14159) is an irrational number. It is not an integer. Therefore, it is not a counting number.
- [tex]\(-\frac{4}{5}\)[/tex]: This is a negative fraction. It is not an integer and not a positive number, hence not a counting number.
- 3: This is a positive integer. Therefore, it is a counting number.
So, among the given numbers, the counting number is:
[tex]\[
3
\][/tex]
Thus, the number from the list that is a counting number is:
[tex]\[
3
\][/tex]
