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Arrange the rational numbers on the four cards in ascending order (smallest first).

Class 7Rational NumbersRational Numbers
  • AQ, P, S, R
  • BS, P, Q, R
  • CP, Q, S, R
  • DR, Q, P, S

Step-by-Step Solution

Write each with denominator 12: P , Q , R , S . Smallest first: , i.e. S, P, Q, R. Note that the minus sign on Q's denominator still makes it negative.
Answer: B) S, P, Q, R

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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