Distributive Property Integers

Which operation below does not change the value of any nonzero number?

• Adding by one

• Dividing by zero

• Multiplying by one

• Multiplying by zero

Which of the following property states that changing the order of two numbers that are either being added or multiplied does not change the value?

• Closure property

• Commutative property

• Associative property

• Identity property

Which of the following property states that the two integers that are added and multiplied remain as integers? The set of integers is closed under addition and multiplication.

• Closure property

• Commutative property

• Associative property

• Distributive property

When two numbers have been added/ subtracted and then multiplied by a factor, the result will be the same when each number is multiplied by the factor and the products are then added/subtracted.

• Closure property

• Commutative property

• Associative property

• Distributive property

Which of the following property states that the sum of any numbers and 0 is the given number?

• Closure property

• Commutative property

• Associative property

• Identity property

Which of the following property is used in the expression 2(3-5) = 2(3)- 2(5)?

• Additive inverse

• Associative inverse

• Additive identity

• Distributive property

Which of the following does not illustrate inverse property?

• 5 + 8 = 8 + 5

• ½(2) = 1

• (-9) + (9) = 0

• (x) + (-x) = 0

Which of the following does not illustrate distributive property?

• a(b-c) = ab – ac

• 4(x+3) = 4x + 12

• 3(5*6) = (3*5)6

• 2(7-5) = 14 – 10

Which property of multiplication is used in the expression (6 + 3) x 4 = 6(4) + 3(4)?

• Associative Property

• Commutative Property

• Distributive Property

• Inverse Property

Which of the following property is used in the expression 4(1+7) = 4 + 28?

• Additive inverse

• Associative property

• Additive identity

• Distributive property