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Rational Numbers

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Rational Numbers 1. CHAPTER. Rational Numbers 1. Introduction In Mathematics, we frequently come across simple equations to be solved. For example, the equation x + 2 = 13 (1). is solved when x = 11, because this value of x satisfies the given equation. The solution 11 is a natural number . On the other hand, for the equation x+5=5 (2). the solution gives the whole number 0 (zero). If we consider only natural Numbers , equation (2) cannot be solved. To solve equations like (2), we added the number zero to the collection of natural Numbers and obtained the whole Numbers . Even whole Numbers will not be sufficient to solve equations of type x + 18 = 5 (3). Do you see why'? We require the number 13 which is not a whole number .

1.2 Properties of Rational Numbers 1.2.1 Closure (i) Whole numbers Let us revisit the closure property for all the operations on whole numbers in brief. Operation Numbers Remarks Addition 0 + 5 = 5, a whole number Whole numbers are closed 4 + 7 = ... . Is it a whole number? under addition. In general, a + b is a whole number for any two whole

  Number, Properties

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