** Definition of Real Numbers**

- Real Numbers include all the rational and irrational numbers.

**More about Real Numbers**

- Real numbers are denoted by the letter R.
- Real numbers consist of the natural numbers, whole numbers, integers, rational, and irrational numbers.

**Examples of Real Numbers**

- Natural numbers, whole numbers, integers, decimal numbers, rational numbers, and irrational numbers are the examples of real numbers.
- Natural Numbers = {1, 2, 3,...}
- Whole Numbers = {0, 1, 2, 3,...}
- Integers = {..., -2, -1, 0, 1, 2,...}
- , 10.3, 0.6, , , 3.46466466646666..., , are few more examples.

**Solved Example on Real Numbers**

Name the subset(s) of the real numbers to which '- 25' belongs.

Choices:

A. integers, rational numbers, real numbers

B. whole numbers, integers, rational numbers, real numbers

C. natural numbers, whole numbers, integer numbers, rational numbers, real numbers

D. irrational numbers, real numbers

Correct Answer: A

Solution:

Step 1:- 25 is an integer.

Step 2:The set of integers is a subset of the rational numbers and the real numbers.

Step 3:Therefore, the subsets to which - 25 belongs to are: integers, rational numbers, and the real numbers.

**Related Terms for Real Numbers**

- Decimal
- Integer
- Irrational Number
- Natural Number
- Rational Number
- Whole Number