Mathematics
Grade-8
Easy

Question

Which of the following numbers is rational?

  1. 1
  2. -6
  3. 3 1 half
  4. All of above are rational

hintHint:

Terminate decimal refers to a decimal with a finite number of digits after the decimal point.
A recurring decimal refers to a decimal with a repeated digit or digits at the end after the decimal point.
Rational numbers refer to those numbers that can be represented as a simple fraction and can be either a whole number, a terminating decimal or a non terminating recurring decimal.
Irrational numbers refer to those numbers that cannot be represented as a simple fraction and are non-terminating non-recurring decimal.

The correct answer is: All of above are rational


    GIVEN-
    N1 = -6
    N2 = 1
    N3 = 3 1/2
    TO FIND-
    Rational number from the given options.
    SOLUTION-
    We know that-
    N1 = -6 is an integer.
    Hence, it is a rational number.
    N2 = 1 is a whole number.
    Hence, it is a rational number.
    N3 = 3 1/2 = [(3*2) + 1]/2 = (6+1)/2 = 7/2 = 3.5.
    3.5 is a terminating decimal.
    Hence, it is a rational number.
    FINAL ANSWER-
    Option 'c' i.e. 'All of above are rational' is the correct answer to the given question.

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