classification of real numbers???
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Answer:
The diagram of “stack of funnels” below will help us classify any given real numbers easily. But first, we need to describe what kinds of elements are included in each group of numbers. Each group or set of numbers is represented by a funnel.
this diagram shows the classification of real numbers using the idea or notion of "stack funnels".
Description of Each Set of Real Numbers
the set of natural or counting numbers represented by a "funnel".
The natural numbers (also known as counting numbers) are the numbers that we use to count. It starts at 1, followed by 2, then 3, and so on.
the set of whole numbers represented by a "funnel".
The whole numbers are a slight “upgrade” of the natural numbers because we simply add the element zero to the current set of natural numbers. Think of whole numbers as natural numbers together with zero.
the set of integers represented by a "funnel".
The integers include all whole numbers together with the “negatives” of the natural numbers.
the set of rational numbers represented by a "funnel".
The rational numbers are numbers which can be expressed as a ratio of integers. That means if we can write a given number as a fraction where the numerator and denominator are both integers; then it is a rational number.
Symbolically, we can write a rational number as:
Caution: The denominator cannot equal zero.
Rational numbers can also appear in decimal form. If the decimal number either terminates or repeats, then it is possible to write it as a fraction with an integer numerator and denominator. Thus, it is rational as well.
the set of irrational numbers represented by a "funnel".
The irrational numbers are all numbers which when written in decimal form do not repeat and do not terminate.
the set of real numbers represented by a "funnel".
The 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.
Answer:
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