Solving Using Number Properties

Tell which property the statement illustrates.

(2 ∙ 6) + (2 ∙ 4) = 2(6 + 4)

• Distributive Property

• Identity Property

• Associative Property

• Commutative Property

Tell which property the statement illustrates.

23 + (15 + w) = (23 + 15) + w

• Distributive Property

• Associative Property

• Commutative Property

• Inverse Property

Tell which property the statement illustrates.

a ∙ 1 = a

• Inverse Property

• Identity Property

• Commutative Property

• Associative Property

Tell which property the statement illustrates.

18 = 18 x 1

• Commutative Property

• Distributive Property

• Identity Property

• Inverse Property

Tell which property the statement illustrates.

10(a − 9) = (10 × a) − (10 × 9)

• Commutative Property

• Inverse Property

• Distributive Property

• Associative Property

Tell which property the statement illustrates.
11 + (r + 5) = 11 + (5 + r) 

• Commutative Property of Addition
• Associative Property of Addition
• Distributive Property
• Addition Property of Zero

Which property was used to simplify the expression?

(47 × 25) × 8 = 47 × (25 × 8)

= 47 × 200

= 9400

• Distributive Property

• Inverse Property

• Associative Property

• Commutative Property

A property that states you can add (+) or multiply (∗) numbers in any order.

• Associative Property
• Commutative Property
• Distributive Property
• Addition Property

A property that states when you add (+) or multiply (∗), you can group ( ) the numbers together in any combination.

• Associative Property
• Addition Property of Zero
• Commutative Property
• Distributive Property

A property that states that the sum (+) of any number and zero is that number.

• Associative Property
• Commutative Property
• Addition Property of Zero
• Addition Property of One