Exploring the Commutative Property of Addition and Multiplication

The video tutorial introduces the commutative property using a subway analogy. It explains that addition and multiplication are commutative, meaning the order of numbers does not affect the result. Examples are provided to illustrate this. In contrast, subtraction and division are shown to be non-commutative, as reversing the order of numbers changes the outcome.

Where does Josh start his daily commute?

• E Line

• National Theater

• Railway Station

• National Museum

Tags

CCSS.RI.6.3

CCSS.RI.8.3

CCSS.RI.9-10.3

CCSS.RI.7.3

CCSS.RL.5.3

Which subway line does Josh transfer to at the National Theater?

• A Line

• B Line

• E Line

• C Line

Tags

CCSS.RI.8.1

CCSS.RI.7.1

CCSS.RI.9-10.1

CCSS.RL.6.1

CCSS.RL.9-10.1

What does the commutative property of addition state?

• a + b = b + a

• a - b = b - a

• a * b = b * a

• a / b = b / a

Tags

CCSS.1.OA.B.3

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

• 2 / 8 = 8 / 2

• 2 * 8 = 8 * 2

• 2 - 8 = 8 - 2

• 2 + 8 = 8 + 2

Tags

CCSS.1.OA.B.3

Why does the commutative property not hold for subtraction?

• Because a - b is always equal to b - a

• Because a - b is not always equal to b - a

• Because subtraction is the same as addition

• Because subtraction is not a mathematical operation

Tags

CCSS.7.NS.A.1D

What is the result of 2 - 8?

• 6

• 10

• 0

• -6

Tags

CCSS.7.NS.A.1C

What does the commutative property of multiplication state?

• a * b = b * a

• a / b = b / a

• a + b = b + a

• a - b = b - a

Tags

CCSS.3.OA.B.5

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

• 4 - 8 = 8 - 4

• 4 + 8 = 8 + 4

• 4 * 8 = 8 * 4

• 4 / 8 = 8 / 4

Tags

CCSS.3.OA.B.5

Why does the commutative property not hold for division?

• Because division is the same as multiplication

• Because division is not a mathematical operation

• Because a / b is not always equal to b / a

• Because a / b is always equal to b / a

Tags

CCSS.3.OA.B.5

What is the result of 4 divided by 8?

• 8

• 4

• 1/2

• 2

Tags

CCSS.5.NF.B.3