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  2. The classification of real numbers includes the following categories1234:
    • Rational numbers: These can be expressed as a ratio of two integers.
    • Irrational numbers: These cannot be expressed as a ratio of two integers.
    • Integers: These include positive and negative whole numbers, as well as zero.
    • Whole numbers: These are positive integers including zero.
    • Natural or counting numbers: These are positive integers excluding zero.
    Learn more:
    There are 5 classifications of real numbers: rational, irrational, integer, whole, and natural/counting.
    www.mometrix.com/academy/numbers-and-their-cl…
    Real numbers are the set of all rational and irrational numbers. This includes all the numbers which can be written in decimal form. All integers are real numbers, but not all real numbers are integers. Real numbers include all the integers, whole numbers, fractions, repeating decimals, terminating decimals, and so on.
    www.storyofmathematics.com/types-of-numbers/
    Real numbers include both rational and irrational numbers. Remember that under the set of rational numbers, we have the subcategories or subsets of integers, whole numbers, and natural numbers. We can also express the subsets of the set of real numbers in a hierarchical presentation.
    www.chilimath.com/lessons/introductory-algebra/cl…
    Classify real numbers as counting, whole, rational, irrational, or integers We have seen that all counting numbers are whole numbers, all whole numbers are integers, and all integers are rational numbers. Irrational numbers are a separate category of their own.
    www.symbolab.com/study-guides/prealgebra/classi…
     
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    Jan 13, 2025 · The classifications of numbers are: real number, imaginary numbers, irrational number, integers, whole numbers, and natural numbers. Real numbers are numbers that land somewhere on a number line. Imaginary …

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    Real Numbers. Real numbers are the set of all rational and irrational numbers. This includes all the numbers which can be written in decimal form. All integers are real numbers, but not all real numbers are integers. Real numbers include …

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    Properties of real numbers. The sum of two real numbers is closed, that is, if a and b ? ?, then a + b ? ?. The sum of two real numbers is commutative, so a + b = b + a. The sum of numbers is associative, that is, (a + b) + c = a + (b + c). …

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