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A pump fills of a tank in one hour. What part of the tank does it fill in hours?

Class 8Rational NumbersRational Numbers
  • A of the tank
  • BThe whole tank
  • C of the tank
  • D of the tank

Step-by-Step Solution

hours, so the part filled is — the two numbers are reciprocals, so the tank fills exactly once. Traps: counts only the 2 whole hours, divides instead of multiplying, and adds the numerators and denominators.
Answer: B) The whole tank

Key idea: Properties at a glance

| Property | Addition | Subtraction | Multiplication | Division |
|---|---|---|---|---|
| Closure | ✓ | ✓ | ✓ | ✓ (b ≠ 0) |
| Commutative | ✓ | ✗ | ✓ | ✗ |
| Associative | ✓ | ✗ | ✓ | ✗ |

Distributive: multiplication distributes over addition AND subtraction. a × (b + c) = ab + ac, and a × (b − c) = ab − ac.

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