InterviewSolution
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InterviewSolution
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Take some more rational numbers, add them as above and see if the two sumsare equal. We find that addition is associative for rational numbers. Thatis, for any three rational numbers a, b and c, a + (b + c) = (a + b) + c.(b) SubtractionYou already know that subtraction is not associative for integers, then whatabout rational numbers.Check for yourself.15 TiduSubtraction is not associative for rational numbers. |
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Answer» LHS= -2/3 - [-4/5 - 1/2] = -2/3 - [-13/10] = -2/3 + 13/10 = 19/30RHS =[-2/3 - (-4/5)] -1/2 =[-2/3 + 4/5] - 1/2 = 2/15 - 1/2 = -11/30LHS is not equal to RHSTherefore substraction is not associative for the rational number answer |
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