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A rational number is a number that can be written in the form p/q where p and q are integers and which condition holds?

Class 7Rational NumbersRational Numbers
  • Aq is not equal to 0
  • Bp is not equal to 0
  • Cp and q are both positive
  • Dq is equal to 0

Step-by-Step Solution

By definition a rational number is p/q with p, q integers and q not equal to 0 (the denominator can never be 0).
Answer: A) q is not equal to 0

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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More Class 7 Rational Numbers practice

Which of these numbers is NOT a rational number?Is the rational number -5/-7 positive or negative?Fill in the missing numerator: -4/7 = ?/21.Which symbol makes this true: -3/5 ___ -2/5 ?Which rational number is the greatest among 3/4, 5/8, 7/12?