Which of the following correctly demonstrates the use of the Commutative Property of Multiplication? (1 point)

2(b ^ 10 + z ^ 11) = (b ^ 10 + z ^ 11) ยท

3(b ^ 10 + 4) = 3(4 + b ^ 10) * 3

O 11(b + z) = 11b + 11z

z ^ 11 * 2 = z ^ 11 + 2

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 months ago

The Commutative Property of Multiplication states that the order of multiplication does not affect the product, meaning that \( a \cdot b = b \cdot a \) for any numbers \( a \) and \( b \).

Among the options you provided, the one that correctly demonstrates the Commutative Property of Multiplication is:

**3(b ^ 10 + 4) = 3(4 + b ^ 10)**

Here, the order of the terms inside the parentheses has been changed while preserving the multiplication outside, which aligns with how multiplication can be commuted in the sums.

The other options do not properly demonstrate the Commutative Property of Multiplication. For example:

- **O 11(b + z) = 11b + 11z** is an example of the Distributive Property.
- **z ^ 11 * 2 = z ^ 11 + 2** is incorrect due to the use of addition instead of multiplication.

Therefore, the correct statement demonstrating the Commutative Property of Multiplication is **3(b ^ 10 + 4) = 3(4 + b ^ 10)**.