To which set or sets does the number 8.25 belong

Rational sets also known as ratios

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.

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