Number Property Rules

Tell which property the statement illustrates.
(2 ∙ 6) + (2 ∙ 4) = 2(6 + 4)

• Distributive Property
• Associative Property of Addition
• Associative Property of Multiplication
• Commutative Property of Addition

Tell which property the statement illustrates.
23 + (15 + w) = (23 + 15) + w

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

Tell which property the statement illustrates.
a ∙ 1 = a

• Multiplication Property of Zero
• Multiplication Property of One
• Commutative Property of Multiplication
• Associative Property of Multiplication

Tell which property the statement illustrates.
(c + 5) + 0 = c + 5

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

Tell which property the statement illustrates.
10(a − 9) = (10 × a) − (10 × 9)

• Commutative Property of Subtraction
• Multiplication Property of Subtraction
• Distributive Property
• Associative Property of Subtraction

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
• Multiplication Property of One
• Associative Property of Multiplication
• Commutative Property of Multiplication

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