Properties of Rational Numbers Quiz - CBSE Class 8 Mathematics
Free practice quiz: Properties of Rational Numbers (CBSE Class 8 Mathematics). 18 multiple-choice questions with answers and explanations. Play online, no sign-up needed.
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Which property is illustrated by the equation (1/2) + (3/4) = (3/4) + (1/2)?
- Commutative Property
- Associative Property
- Distributive Property
- Additive Identity
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Answer: A. Commutative Property
The commutative property states that the order of numbers in addition does not affect the sum.
If x = 1/3, what is the value of x * 3?
- 1/9
- 3/3
- 1
- 9
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Answer: C. 1
Substitute x with 1/3. (1/3) * 3 = 3/3 = 1 This demonstrates the multiplicative identity property where any number multiplied by its multiplicative inverse equals 1.
If a and b are rational numbers, which property states that a * (b * c) = (a * b) * c ?
- Commutative Property of Multiplication
- Associative Property of Multiplication
- Distributive Property
- Additive Identity
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Answer: B. Associative Property of Multiplication
The associative property of multiplication states that the grouping of the numbers does not affect the product.
Show that the distributive property holds for rational numbers a = 1/2, b = 1/3, c = 1/4 using an example
- Cannot be shown
- a(b+c) != ab + ac
- a(b+c) = ab + ac
- It only applies to integers
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Answer: C. a(b+c) = ab + ac
Substitute the values and perform the calculations to show that a(b+c) equals ab + ac.
Provide a counterexample to show that subtraction is not commutative for rational numbers.
- Subtraction is commutative
- No counterexample exists
- It is commutative for some rational numbers
- Counterexample is readily available
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Answer: D. Counterexample is readily available
Simply provide an example showing (a-b) ≠ (b-a) for rational numbers a and b (e.g., 1-2 ≠ 2-1).