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    Real Numbers (Definition, Properties and Examples) - BYJU'S

    • Learn what real numbers are, how they are classified and how they behave under different operations. See the chart of real numbers and the properties of commutative, associative, distributive and identity.… See more

    Real Numbers Definition

    Real numbers can be defined as the union of both rational and irrational numbers. They can be both positive or negative and are denoted by the symbol “R”. All the natural nu… See more

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    Set of Real Numbers

    The set of real numbers consists of different categories, such as natural and whole numbers, integers, rational and irrational numbers. In the table given below, all the real numbe… See more

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    Properties of Real Numbers

    The following are the four main properties of real numbers: 1. Commutative property 2. Associative property 3. Distributive property 4. Identity property Consider “m, n and r” are t… See more

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    Example 1

    Find five rational numbers between 1/2 and 3/5. Solution: We shall make the denominator same for both the given rational number (1 × 5)/(2 × 5) = 5/10 and (3 × 2)/(5 × 2… See more

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    Are natural numbers real numbers?
    Natural numbers are all positive integers starting from 1 to infinity. All natural numbers are integers but not all the integers are natural numbers. These are the set of all counting numbers such as 1, 2, 3, 4, 5, 6, 7, 8, 9, …….∞. Real numbers are numbers that include both rational and irrational numbers.
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    Table of Contents
    Real Numbers Definition
    Set of Real Numbers
    Properties of Real Numbers
    Example 1
    Are natural numbers real numbers?
     

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