Which expression correctly demonstrates the Commutative Property of Multiplication?

a. 7 * x * 3 = 3 * 7 * x
b. 4 * y * 2 = 4 * 2 * y
c. 5 * z * 6 = 6 * 5 * z
d. All of the above

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

The correct answer is d. All of the above.

The Commutative Property of Multiplication states that the order in which we multiply numbers does not change the product. Each of the expressions given demonstrates this property, as they reorder the factors but still result in the same product.

User Icon for 37432 37432 answered
1 month ago

Which expression correctly demonstrates the Commutative Property of Multiplication?

a. 7 * x * 3 = 3 * 7 * x
b. 4 * y * 2 = 4 * 2 * y
c. 5 * z * 6 = 6 * 5 * z
d. All of the above

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

The correct answer is **d. All of the above**.

Each of the expressions demonstrates the Commutative Property of Multiplication, which states that changing the order of the factors does not change the product. Here’s how each expression illustrates this:

- **a.** \(7 * x * 3 = 3 * 7 * x\) shows that the order of \(7\), \(x\), and \(3\) can be changed without affecting the product.

- **b.** \(4 * y * 2 = 4 * 2 * y\) shows that the order of \(4\), \(y\), and \(2\) can also be rearranged.

- **c.** \(5 * z * 6 = 6 * 5 * z\) illustrates that rearranging \(5\), \(z\), and \(6\) yields the same result.

Therefore, all provided expressions correctly demonstrate the Commutative Property of Multiplication.