Exploring Properties of Operations in Mathematics

What is the main purpose of learning the properties of operations?

• To make math problems more complex

• To solve problems more easily

• To confuse students

• To memorize more vocabulary

Which property allows you to change the order of numbers in addition and multiplication?

• Identity Property

• Associative Property

• Distributive Property

• Commutative Property

What is an example of the commutative property in multiplication?

• 6 ÷ 2 = 2 ÷ 6

• 6 + 1 = 1 + 6

• 7 - 3 = 3 - 7

• 7 × 3 = 3 × 7

What changes in the associative property?

• The operation

• The numbers

• The result

• The parentheses

Which of the following is an example of the associative property in addition?

• (2 + 3) + 8 = 2 + (3 + 8)

• 2 + 3 = 3 + 2

• 2 × 3 = 3 × 2

• (2 × 3) × 4 = 2 × (3 × 4)

What is the additive identity property?

• Adding zero to a number keeps it the same

• Multiplying a number by one keeps it the same

• Adding one to a number keeps it the same

• Multiplying a number by zero makes it zero

What happens when you multiply any number by zero?

• The number doubles

• The number becomes zero

• The number becomes one

• The number stays the same

Why is it important to know the names of these properties?

• To memorize more terms

• To solve equations using these properties

• To make math more difficult

• To confuse students

In the example given, what property is shown when parentheses change in a multiplication problem?

• Associative Property

• Commutative Property

• Distributive Property

• Identity Property

What should you look for to identify the associative property in a problem?

• Change in operation

• Change in numbers

• Change in parentheses

• Change in result