Exploring Key Math Properties: Commutative, Associative, Distributive, and Identity

The video tutorial by Tiffany covers four main math properties: commutative, associative, identity, and distributive. Each property is explained with examples, focusing on how they apply to addition and multiplication. The commutative property allows numbers to be rearranged in addition or multiplication without changing the result. The associative property shows that grouping numbers differently does not affect the outcome. The identity property highlights that adding zero or multiplying by one leaves a number unchanged. Lastly, the distributive property demonstrates how to multiply a number by a sum or difference using distribution.

Which of the following properties allows you to change the order of numbers in addition or multiplication without changing the result?

• Associative Property

• Commutative Property

• Distributive Property

• Identity Property

In the commutative property, what does the term 'commute' refer to?

• Changing the order of numbers

• Distributing numbers

• Adding zero

• Grouping numbers

Which property states that the way in which numbers are grouped in addition or multiplication does not change their sum or product?

• Commutative Property

• Associative Property

• Distributive Property

• Identity Property

Why might you want to change the grouping of numbers in a problem according to the associative property?

• To add zero

• To change the order of operations

• To make mental math easier

• To make the problem more complex

What does the identity property state about any number plus zero?

• It equals zero

• It equals the original number

• It equals one

• It equals the sum of the digits

According to the identity property, what is the result of any number multiplied by one?

• The sum of the digits

• Zero

• The original number

• One

What does the distributive property involve?

• Changing the order of numbers

• Grouping numbers differently

• Adding zero

• Distributing multiplication over addition or subtraction

In the distributive property, what operation is performed after distributing the multiplication?

• Addition or subtraction

• Exponentiation

• Division

• Multiplication

Which property would you use to simplify the expression 3 * (4 + 5)?

• Distributive Property

• Identity Property

• Associative Property

• Commutative Property

What is the result of applying the distributive property to 2 * (3 + 4)?

• 2 * 3 * 4

• 2 + 3 * 4

• 2 * 3 + 2 * 4

• 2 * 3 + 4