Exploring Properties of Addition and Multiplication in Grade 6

Does the order of numbers affect the result in addition and multiplication?

• Only in addition

• It depends on the property

• No, never

• Yes, always

What does the commutative property allow you to do?

• Distribute numbers over others

• Combine like terms

• Subtract any number in any order

• Change the order of numbers

How many numbers are usually involved in demonstrating the associative property?

• It varies

• Only one

• Two

• Three or more

What does the additive property of zero state?

• Zero can only be added to itself

• Zero added to a number equals one

• Adding zero keeps the number the same

• Adding zero changes the number

Which property is illustrated by the expression 5 * 12 = 12 * 5?

• Additive Identity Property

• Associative Property of Multiplication

• Multiplicative Identity Property

• Commutative Property of Multiplication

What property does the expression (2 + 3) + 4 = 2 + (3 + 4) demonstrate?

• Multiplicative Identity Property

• Additive Identity Property

• Associative Property of Addition

• Commutative Property of Addition

What result do you get when you multiply any number by zero?

• One

• The same number

• Zero

• It depends on the number

What does the multiplication property of one state?

• Multiplying by one changes the number

• Multiplying by one keeps the number the same

• It creates a new number

• One multiplied by any number equals zero

In the expression 7x + 100 + 68.25, what property allows you to rearrange the terms?

• Associative Property of Addition

• Commutative Property of Addition

• Distributive Property

• Multiplicative Identity Property

What is the simplified expression for the total amount needed by the team, given the league fees, cost per shirt, and trophy costs?

• They cannot be simplified

• 175.25x

• 7x + 168.25

• 168.25 + 7x