Answer:
The number 8.25 is a rational number and a real number.
Step-by-step explanation:
Consider the provided number,
8.25
Natural numbers: The natural numbers are 1, 2, 3, 4, 5,…
Whole number: Whole numbers are the set of natural numbers but starts with 0. i.e. 0, 1, 2, 3, 4, 5,…
Integers: Integers are the set of whole number and the negatives of the natural numbers, i.e, … ,-2, -1, 0, 1, 2, …
Rational number: A number
is said to be rational, if it is in the form
of p/q. Where p and q are integer and
denominator is not equal to 0. The decimal expansion of rational numbers may terminate or become periodic.
Irrational
number: A number is irrational if it cannot
be expressed be expressed by dividing two
integers. The decimal expansion of
Irrational numbers are neither terminate nor
periodic.
Real numbers: All rational and Irrational
numbers are called real number.
The provided number is not a natural number, whole number and integer as it contains decimal part.
Now, the provided number 8.25 can be written as:
8.25=825/100
Thus, the above number is in the form
of p/q that means the proivded number is a rational number.
Here the provided number is a rational number so it can't be an irrational number.
The provided number is a real number because all rational numbers are real number.
Hence, the number 8.25 is a rational number as well as it is a real number.
