Answer:
is a rational number as as it can be written in the form
where p and q are integers and q ≠ 0. It is also a real number as the set of real number consists of all the natural numbers, whole number, rational number, integers, and irrational number.
Step-by-step explanation:
As we know that any number that can be written in the form
is said to be a rational number.
Thus,
is a rational number as it can be written in the form
where p and q are integers and q ≠ 0.
It is not a natural number as the set of natural number is:
![N\:=\:\left\{\:1,\:2,\:3,\:...\right\}](https://tex.z-dn.net/?f=N%5C%3A%3D%5C%3A%5Cleft%5C%7B%5C%3A1%2C%5C%3A2%2C%5C%3A3%2C%5C%3A...%5Cright%5C%7D)
It is also not a whole number as the set of whole number is:
![W\:=\:\left\{0,\:1,\:2,\:3,\:...\right\}](https://tex.z-dn.net/?f=W%5C%3A%3D%5C%3A%5Cleft%5C%7B0%2C%5C%3A1%2C%5C%3A2%2C%5C%3A3%2C%5C%3A...%5Cright%5C%7D)
It does also not a belong to integer number as the set of integers is:
![Z=\:\left\{...-3,\:-2,\:-1,\:0,\:1,\:2,\:3,\:...\right\}](https://tex.z-dn.net/?f=Z%3D%5C%3A%5Cleft%5C%7B...-3%2C%5C%3A-2%2C%5C%3A-1%2C%5C%3A0%2C%5C%3A1%2C%5C%3A2%2C%5C%3A3%2C%5C%3A...%5Cright%5C%7D)
It does also not a irrational number as the irrational numbers are those which can not be written in the form
.
BUT
It belongs to the set of real number.
- The real numbers include natural numbers or counting numbers
- whole numbers
- integers
- rational numbers
- and irrational numbers.
Therefore, from the above discussion we can conclude that
is a rational number as as it can be written in the form
where p and q are integers and q ≠ 0. It is also a real number as the set of real number consists of all the natural numbers, whole number, rational number, integers, and irrational number.
Keywords: rational number, real number, natural number, whole number
Learn more about rational number from brainly.com/question/14323088
#learnwithBrainly