To which set or sets does the number 8.25 belong

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.

Rational sets also known as ratios