InterviewSolution
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InterviewSolution
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Is the rational number and integer number are same or not. |
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Answer» Every integer is a rational number but a rational number need not be an integer. We know that 1 = 1/1, 2 = 2/1, 3 = 3/1, 4 = 4/1 and so on ……. . also, -1 = -1/1, -2 = -2/1, -3 = -3/1, -4 = -4/1 and so on …….. . In other words, any integer a can be written as a = a/1, which is a rational number. Thus, every integer is a rational number. Clearly, 3/2,-5/3, etc. are rational numbers but they are not integers. Hence, every integer is a rational number but a rational number need not be an integer. Examples : (i) 2/5 2/5 is not an integer. Since we cannot express 2/5 without a fractional or decimal component (ii) 8/4 8/4 is an integer. Since if we simplify 8/4 to its lowest term we get 2/1 = 2, which is an integer. |
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