Real Number Properties
There are different properties of Real numbers with respect to the operation of addition and multiplication, which are as follows:
Properties of Real Numbers | ||
---|---|---|
Property | Addition Example | Multiplication Example |
Commutative Property | a + b = b + a | a × b = b × a |
Associative Property | (a + b) + c = a + ( b + c) | (a × b) × c = a × ( b × c) |
Distributive Property | a × ( b + c) = a × b + a × c | a × (b + c) = a × b + a × c |
Identity Property | a + 0 = a | a × 1 = a |
Inverse Property | a + (−a) = 0 | a × (1/a) = 1 (for a≠0) |
Learn More: Properties of Numbers
Real Numbers
Real Numbers are continuous quantities that can represent a distance along a line, as Real numbers include both rational and irrational numbers. Rational numbers occupy the points at some finite distance and irrational numbers fill the gap between them, making them together to complete the real line. So, in other words, real numbers are those numbers that can be plotted on the real line.
Real numbers include rational numbers including positive and negative integers, fractions, and irrational numbers. Basically any number that we can think of is a real number. For Example 2, 3.5, 6/7, √5 etc.
Let’s learn about Real Numbers in detail, including their properties, representation on the number line, and decimal expansion.
Table of Content
- Real Numbers Definition
- Real Numbers Chart
- Set of Real Numbers
- List of Real Numbers
- Symbol of Real Numbers
- Real Number Properties
- Real Numbers on Number Line
- Solved Examples on Real Numbers
- Real Numbers Class 10
- Practice Problems on Real Numbers