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If we multiply or divide two rational numbers, we get a/an __________(a) natural number(b) whole number(c) rational Number(d) irrational numberI had been asked this question in final exam.The question is from Representing Real Numbers on the Number Line & Real Numbers Operations topic in division Number Systems of Mathematics – Class 9 |
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Answer» CORRECT answer is (c) rational Number For EXPLANATION: Let’s take two non-zero rational numbers to understand this. Consider two numbers, 1/2 and 3/4 Multiplying these two, we get 1/2 * 3/4 = 3/8 Which is rational number since its result is terminating (3/8= 0.875). Subtracting these two, we get (3/4) / (1/2) = (3*2) / 4 = 6/4 Which is rational number since its result is terminating (6/4= 1.5). HENCE, result of two terminating numbers would also be terminating so we can say that Summation or Subtraction of two rational number is always rational number. However, as we saw in this example, it is not necessary that the result of product or division of two non-zero rational number would be Integer. So the result may or may not be Natural number or Whole number. |
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