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Anita had Rs 350. She spent of it on books and of it on stationery. How much money is left with her?

Class 8Rational NumbersRational Numbers
  • ARs 160
  • BRs 190
  • CRs 210
  • DRs 140

Step-by-Step Solution

Books: . Stationery: . Spent = 190, so left = . Fraction check: left = , and . ✓ The trap is answering Rs 190, which is the amount spent, not the amount left.
Answer: A) Rs 160

Key idea: Closure of rationals

Rationals are **closed under addition, subtraction, and multiplication** — the result is always rational.

But **division is closed only if you exclude division by 0**: for any rationals a and b ≠ 0, a ÷ b is rational.

This is more than integers (which weren't closed under division at all) and more than fractions (which sometimes had subtraction lead outside the fractions). Rationals form the smallest 'nice' number system that supports all four basic operations (with the 0-divisor exception).

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