Question

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

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

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

2(b^10+z^11)=(b^10+z^11)⋅2

z^11⋅2=z^11+2

Answer 1

The Commutative Property of Multiplication states that changing the order of the factors does not change the product. In other words, \( a \times b = b \times a \).

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

**2(b^10+z^11)=(b^10+z^11)⋅2**

This expression shows that multiplying \( (b^{10} + z^{11}) \) by 2 (the left side) is the same as multiplying 2 by \( (b^{10} + z^{11}) \) (the right side), demonstrating the commutative property in the context of the multiplication of a sum.

The other options either demonstrate the distributive property or make incorrect assertions.

So the correct response is:
**2(b^10+z^11)=(b^10+z^11)⋅2**