Exploring the Properties of Multiplication

Jamie and Madison introduce the commutative and associative properties of multiplication. The commutative property allows numbers to be multiplied in any order without changing the result. The associative property involves grouping numbers differently but still achieving the same product. Examples are provided to illustrate these properties. The video also highlights that these properties do not apply to subtraction or division.

What does the commutative property of multiplication state?

• Changing the order of numbers does not change the result

• Changing the order of numbers changes the result

• Grouping numbers differently does not change the result

• Grouping numbers differently changes the result

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

• 3 + 5 = 5 + 3

• 7 x 2 = 2 x 7

• 8 / 4 = 4 / 8

• 7 - 2 = 2 - 7

What does the associative property of multiplication state?

• Changing the order of numbers does not change the result

• Changing the grouping of numbers does not change the result

• Changing the grouping of numbers changes the result

• Changing the order of numbers changes the result

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

• 7 - (2 - 1) = (7 - 2) - 1

• 8 / (4 / 2) = (8 / 4) / 2

• 3 + (5 + 7) = (3 + 5) + 7

• (3 x 5) x 7 = 3 x (5 x 7)

What is the result of (148 x 72) x (4 x 8) according to the associative property?

• 340,992

• 105

• 32

• 10,656

What is the result of 3 x (5 x 7) according to the associative property?

• 105

• 15

• 35

• 21

Why can't the commutative property be applied to subtraction?

• Because subtraction is only used in addition problems

• Because subtraction is the same as division

• Because changing the order of numbers in subtraction changes the result

• Because subtraction is not a binary operation

Why can't the associative property be applied to division?

• Because division is not a binary operation

• Because division is only used in subtraction problems

• Because changing the grouping of numbers in division changes the result

• Because division is the same as multiplication

Which of the following operations can the commutative property be applied to?

• Subtraction and division

• Addition and multiplication

• Multiplication and division

• Addition and subtraction

Which of the following operations can the associative property be applied to?

• Multiplication and division

• Addition and subtraction

• Subtraction and division

• Addition and multiplication