Exploring the Commutative Property of Multiplication

This video from YourTeacher.com introduces the commutative property of multiplication, explaining that changing the order of factors does not affect the product. It provides examples such as 4 * 10 = 10 * 4, demonstrating that both expressions yield the same result, 40. The video also generalizes this property with variables, showing that a * b equals b * a.

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What does the commutative property of multiplication state?

• Changing the order of the factors changes the product.

• Multiplying any number by one gives the same number.

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

• Multiplying any number by zero gives zero.

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

• 7 * 8 = 8 * 7

• 9 / 3 = 3 / 9

• 6 - 2 = 2 - 6

• 5 + 3 = 3 + 5

In the example given, what is the product of 4 times 10?

• 40

• 24

• 14

• 30

How can the commutative property of multiplication be written in general terms?

• a / b = b / a

• a * b = b * a

• a - b = b - a

• a + b = b + a