Properties of natural and whole numbers Quiz - ICSE Class 6 Mathematics

Free practice quiz: Properties of natural and whole numbers (ICSE Class 6 Mathematics). 51 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

Sample questions

1. Which property states that the order of addition does not change the sum? For example, a + b = b + a.

   1. Associative Property of Addition
   2. Distributive Property
   3. Commutative Property of Addition
   4. Identity Property of Addition
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   Answer: C. Commutative Property of Addition

   The Commutative Property of Addition states that changing the order of the addends does not change the sum. The example a + b = b + a illustrates this property.

2. If 0 × 15 = 0, this illustrates the property of multiplication by zero. Which term best describes this property?

   1. Commutative Property
   2. Distributive Property
   3. Zero Property of Multiplication
   4. Additive Identity
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   Answer: C. Zero Property of Multiplication

   The Zero Property of Multiplication states that any number multiplied by zero equals zero. This is directly shown by the equation 0 × 15 = 0.

3. Consider the expression 5 × (2 × 3). How can it be rewritten using the Associative Property of Multiplication?

   1. (5 + 2) × 3
   2. 5 + (2 × 3)
   3. (5 × 2) × 3
   4. 5 × 2 + 3
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   Answer: C. (5 × 2) × 3

   The Associative Property of Multiplication states that (a × b) × c = a × (b × c). Therefore, 5 × (2 × 3) can be rewritten as (5 × 2) × 3.

4. If 6 + 8 = 8 + 6, which property of addition is illustrated?

   1. Associative Property of Addition
   2. Distributive Property
   3. Commutative Property of Addition
   4. Identity Property of Addition
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   Answer: C. Commutative Property of Addition

   The Commutative Property of Addition means that the order of the addends can be changed without altering the sum.

5. If 4 × (5 × 6) = (4 × 5) × 6, which property is being used?

   1. Commutative Property of Multiplication
   2. Distributive Property
   3. Identity Property of Multiplication
   4. Associative Property of Multiplication
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   Answer: D. Associative Property of Multiplication

   The Associative Property of Multiplication allows us to group factors in any way without changing the product.

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