- A
- B
- C
- D
Step-by-Step Solution
Cancel before multiplying: 3 and 9 share 3, 4 and 8 share 4. Get .
Answer: A)
Compute using simplification first.
Class 8Rational NumbersRational Numbers
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.
|---|---|---|---|---|
| Closure | ✓ | ✓ | ✓ | ✓ (b ≠ 0) |
| Commutative | ✓ | ✗ | ✓ | ✗ |
| Associative | ✓ | ✗ | ✓ | ✗ |
Distributive: multiplication distributes over addition AND subtraction. a × (b + c) = ab + ac, and a × (b − c) = ab − ac.
Master this chapter in 30 minutes a day.
Don't just memorise the answer — build a daily practice habit.
Practice 5 Similar Questions Free →All Rational Numbers practice questions
More Class 8 Rational Numbers practice
Compute 2/3 - 1/3 and 1/3 - 2/3. What does this show?A rational number is a number that can be written in the form p/q. What is the condition…Which property is used in: (1/2 + 1/3) + 1/4 = 1/2 + (1/3 + 1/4)?Assertion (A): Subtraction is not associative on rational numbers. Reason (R): (a − b) −…Between any two distinct rational numbers, how many rational numbers lie?