Real Number System
Chapter 1: Chapter 2 · Knowledge Base · EN medium
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First we shall recall how the real number system was developed. We start with natural numbers N . . . Rational Numbers Note that N = { , , , . . . } is enough for counting objects. In order to deal with loss or debts, we enlarged N to the set of all integers, Z = { . . . , − , − , − , − , , , , . . . } , which consists of the natural numbers, zero, and the negatives of natural numbers. We call { , , , , · · · } as the set of whole numbers and denote it by W . Note that it differs from N by just one element, namely, zero. Now imagine dividing a cake into five equal parts, which is equivalent to finding a solution of x = . But this equation cannot be solved within Z .
📖 Namma Kalvi 11th Maths Textbook Volume 1 English Medium · Page 61
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First we shall recall how the real number system was developed. We start with natural numbers N . . .
Rational Numbers Note that N = { , , , . . . } is enough for counting objects.
In order to deal with loss or debts, we enlarged N to the set of all integers, Z = { . . . , − , − , − , − , , , , .
. . } , which consists of the natural numbers, zero, and the negatives of natural numbers. We call { , , , , · · · } as the set of whole numbers and denote it by W .
Note that it differs from N by just one element, namely, zero. Now imagine dividing a cake into five equal parts, which is equivalent to finding a solution of x = . But this equation cannot be solved within Z . Hence we have enlarged Z to the set
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