## Related Words

# REAL NUMBER

## 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 Z = {..., -2, -1, 0, 1, 2,...}

3/5, 10.3, 0.6, 12/5, 3/4, 3.46466466646666..., √ 2, √ 3 are few more examples.

### Video Examples: What Are The Real Numbers?

### Solved Example on Real Numbers

**Ques:** 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.