Exploring Properties of Addition and Multiplication in Grade 6

What does the commutative property of addition state?

• The order of numbers does not matter when dividing.

• The order of numbers does not matter when exponentiating.

• The order of numbers does not matter when adding.

• The order of numbers does not matter when subtracting.

Which of the following is an example of the commutative property of multiplication?

• 5 / 3 = 3 / 5

• 5 * 3 = 3 * 5

• 5 - 3 = 3 - 5

• 5 + 3 = 3 + 5

What is the associative property of addition?

• Changing the order of numbers does not change the sum.

• Changing the grouping of numbers does not change the product.

• Changing the order of numbers does not change the product.

• Changing the grouping of numbers does not change the sum.

Which property allows you to regroup numbers when multiplying?

• Commutative property of addition

• Identity property of multiplication

• Associative property of multiplication

• Distributive property

How can you simplify the expression 7 + 12 + x using properties?

• Use the identity property to add 0.

• Use the associative property to group 7 and 12 first.

• Use the commutative property to switch 12 and x.

• Use the distributive property to factor out x.

What does the addition property of zero state?

• Adding zero to a number changes the number.

• Multiplying zero by a number does not change the number.

• Adding zero to a number does not change the number.

• Multiplying zero by a number changes the number.

What is the result of multiplying any number by zero?

• Infinity

• Zero

• One

• The number itself

Which property allows you to rearrange the terms in the expression 4.5 * r * 1?

• Identity property of addition

• Distributive property

• Commutative property of multiplication

• Associative property of addition

How many people are on the basketball team if you and six friends are playing?

• 9

• 8

• 7

• 6

What is the total cost if each t-shirt costs $14.50, given the expression 7x + 168.25?

• $101.50

• $269.75

• $168.25

• $200.00