Properties of the Operations on Integers

What does the Closure Property state?

• Integers can be divided to remain integers.

• Integers can only be multiplied.

• Integers that are added or multiplied remain integers.

• Integers can only be added.

What is the Commutative Property?

• The product of two numbers is always less than either number.

• The sum of two numbers is always zero.

• Changing the order of two numbers does not change the value.

• The sum of two numbers is always greater than either number.

What does the Associative Property involve?

• Multiplying by one.

• Changing the order of numbers.

• Changing the grouping of numbers.

• Adding zero to a number.

What is the Distributive Property?

• Adding two numbers before multiplying by a factor.

• Changing the order of multiplication.

• Multiplying a number by zero.

• Multiplying a sum by a factor gives the same result as multiplying each number and then adding.

What is the Additive Identity?

• The number 0.

• The number -1.

• The number 10.

• The number 1.

What does the Multiplicative Identity state?

• The product of any number and 0 is the number.

• The product of any number and 1 is the number.

• The product of any number and -1 is the number.

• The product of any number and 10 is the number.

What is the Additive Inverse?

• The number that, when multiplied by a, gives 1.

• The number that, when multiplied by a, gives 0.

• The number that, when added to a, gives 0.

• The number that, when added to a, gives 1.

What does the Inverse Property in Multiplication state?

• The product of any number and 1 is 0.

• The product of any number and 0 is 1.

• The product of any number and its multiplicative inverse is 1.

• The product of any number and its additive inverse is 0.

Which property states that changing the order of numbers does not change the value?

• Closure Property

• Associative Property

• Commutative Property

• Distributive Property

Which property involves grouping of numbers?

• Identity Property

• Associative Property

• Commutative Property

• Closure Property