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Assertion (A): 0 is a rational number. Reason (R): 0 can be written as , which is of the form p/q with q not equal to 0. Which is correct?

Class 7Rational NumbersRational Numbers
  • ABoth A and R are true and R correctly explains A
  • BBoth A and R are true but R does not explain A
  • CA is true but R is false
  • DA is false but R is true

Step-by-Step Solution

0 = fits the definition of a rational number, so A is true and R is the exact reason for it.
Answer: A) Both A and R are true and R correctly explains A

Key idea: Recognising rationals

If you can write a number as **integer over non-zero integer**, it is rational. So:

- All integers are rational: 5 = 5/1, 0 = 0/1, −9 = −9/1.
- All fractions with integer numerator and denominator are rational: 3/4, −2/7, 11/3.
- Any decimal that terminates or repeats is rational: 0.25 = 1/4, 0.333… = 1/3.

Numbers that cannot be written as p/q (like √2 or π) are NOT rational — they're irrational. You'll meet those in Class 9.

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