Exploring the Properties of Operations in Mathematics

Which of the following is NOT one of the four main properties of operations discussed?

• Distributive Property

• Inverse Property

• Associative Property

• Commutative Property

What does the commutative property state for addition?

• Adding zero to a number does not change the number.

• Multiplying a number by a sum is the same as multiplying by each addend.

• Changing the grouping of addends does not change the sum.

• Changing the order of addends does not change the sum.

Which of the following is an example of the commutative property of multiplication?

• 2 × 3 = 3 × 2

• 2 + 3 = 3 + 2

• 2 × (3 × 4) = (2 × 3) × 4

• 2 + (3 + 4) = (2 + 3) + 4

What is the key concept behind the associative property?

• Changing the grouping of terms

• Distributing multiplication over addition

• Changing the order of terms

• Adding zero to a number

Which of the following demonstrates the associative property of addition?

• 2 × 3 = 3 × 2

• 2 + 3 = 3 + 2

• 2 × (3 × 4) = (2 × 3) × 4

• 2 + (3 + 4) = (2 + 3) + 4

What does the distributive property state?

• Adding zero to a number does not change the number.

• Changing the order of terms does not change the result.

• Changing the grouping of terms does not change the result.

• Multiplying a number by a sum or difference is the same as multiplying by each term and then adding or subtracting.

Which of the following is an example of the distributive property?

• 2 + 3 = 3 + 2

• 2 × (3 + 4) = (2 × 3) + (2 × 4)

• 2 + (3 + 4) = (2 + 3) + 4

• 2 × 3 = 3 × 2

What does the identity property of addition state?

• Multiplying a number by one does not change the number.

• Adding zero to a number does not change the number.

• Changing the grouping of terms does not change the result.

• Changing the order of terms does not change the result.

Which of the following is an example of the identity property of multiplication?

• 2 × (3 × 4) = (2 × 3) × 4

• 2 + 0 = 2

• 2 + 3 = 3 + 2

• 2 × 1 = 2

Which property states that multiplying any number by one gives the same number?

• Commutative Property

• Identity Property

• Associative Property

• Distributive Property