Identifying Properties of Arithmetic

Are these two expressions equivalent?
18 • 1 and 18

• Yes, because of the inverse property

• Yes, because of the commutative property

• Yes, because of the identity property

• No, these two expressions are not equivalent

Identity Property of Multiplication

• 5 x 0 = 0

• 8 x 3 = 3 x 8

• 12 x 1 = 12

• 8 + 0 = 8

Which property is represented?
7(t + u) = 7t + 7u

• Commutative Property

• Associative Property

• Distributive Property

The additive identity property is shown in which of the following?

• 4 + (-4) = 0

• 1/4 x 4 = 1

• 0 + 1/4 = 1/4

• 4 x 1 = 4

Which property is represented?
3(x + 5) = 3x + 15

• Commutative Property

• Associative Property

• Distributive Property

Which property is represented?
3 + (15 + 4) = (3 + 15) + 4

• Commutative Property

• Associative Property

• Distributive Property

Which property is represented?
6 ∗ (4 ∗ r) = (6 ∗ 4) ∗ r

• Commutative Property

• Associative Property

• Distributive Property

Which property is represented?
12x + 36 = 12(x + 3)

• Commutative Property

• Associative Property

• Distributive Property

Which property is represented?
25 ∗ 4n = 4n ∗ 25

• Commutative Property

• Associative Property

• Distributive Property

Which property is represented?
4x + (3x + 3) = (4x + 3x) + 3

• Commutative Property

• Associative Property

• Distributive Property