﻿ Definition and examples real numbers | define real numbers - algebra 1 -Free Math Dictionary Online

# Real Numbers

## Definition of Real Numbers

Real Numbers include all the rational and irrational 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.

### 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