Properties of Addition and Multiplication

What does the commutative property of addition state?

• You can change the order of the numbers, and the answer will still be the same.

• You can only add numbers in a specific order.

• The sum of two numbers is always greater than the numbers.

• You cannot change the order of numbers in addition.

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

• 4 × 5 = 5 × 4

• 4 × 5 = 20

• 4 + 5 = 9

• 4 × 5 = 4 + 5

What does the Associative Property of Addition allow you to do with numbers?

• Change the order of numbers

• Change the grouping of numbers

• Add zero to numbers

• Subtract numbers

According to the Associative Property of Multiplication, which of the following is true?

• (a × b) × c = a × (b × c)

• a + b = b + a

• a × 1 = a

• a + 0 = a

Which of the following is an example of the Associative Property of Addition?

• (8 + 4) + 2 = 8 + (4 + 2)

• 8 + 4 = 4 + 8

• 8 × 1 = 8

• 8 + 0 = 8

What is the Distributive Property?

• It states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products.

• It states that the order of addition does not change the sum.

• It states that the order of multiplication does not change the product.

• It states that subtraction is the opposite of addition.

What is the factored form of the expression 5x + 15?

• 5(x + 3)

• 5(x + 5)

• 5(x + 2)

• 5(x + 4)

What is the factored form of the expression 8n + 10?

• 2(4n + 5)

• 2(4n + 4)

• 2(4n + 6)

• 2(4n + 3)

What is the factored form of the expression 4x - 8?

• 4(x - 2)

• 4(x - 3)

• 4(x - 1)

• 4(x - 4)

What property is being shown in the equation 5(m - 2) = 5m - 10?

• Commutative Property

• Associative Property

• Distributive Property

• Identity Property