Summation or Subtraction of two non-zero rational numbers is a/an __________(a) natural number(b) whole number(c) rational Number(d) irrational numberThe question was asked in an interview for internship.The doubt is from Representing Real Numbers on the Number Line & Real Numbers Operations topic in chapter Number Systems of Mathematics – Class 9

Summation or Subtraction of two non-zero rational numbers is a/an ____

1.	Summation or Subtraction of two non-zero rational numbers is a/an __________(a) natural number(b) whole number(c) rational Number(d) irrational numberThe question was asked in an interview for internship.The doubt is from Representing Real Numbers on the Number Line & Real Numbers Operations topic in chapter Number Systems of Mathematics – Class 9
Answer» Correct CHOICE is (c) rational Number Easy explanation: Let’s take two non-zero rational numbers to understand this. Consider two numbers, 1/2 and 3/4 Adding these two, we get 1/2 + 3/4 = {4 + (23)}/24 = 10/8 = 5/4 Which is rational number since its RESULT is terminating (5/4 = 1.25). Subtracting these two, we get 3/4 – 1/2 = {(23) – 4}/24 = 2/8 = 1/4 Which is rational number since its result is terminating (1/4 = 0.25). 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 summation or subtraction 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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