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) ·
3(b ^ 10 + 4) = 3(4 + b ^ 10) * 3
O 11(b + z) = 11b + 11z
z ^ 11 * 2 = z ^ 11 + 2
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The option that correctly demonstrates the use of the Commutative Property of Multiplication is:
z ^ 11 * 2 = 2 * z ^ 11
To determine which of the options correctly demonstrates the use of the Commutative Property of Multiplication, we need to understand what the Commutative Property states.
The Commutative Property of Multiplication states that changing the order of the factors in a multiplication equation does not change the result. In other words, for any numbers a and b, a * b = b * a.
Let's examine each of the options to see if they follow this property:
Option 1: 2(b ^ 10 + z ^ 11) = (b ^ 10 + z ^ 11) ·
This equation does not follow the Commutative Property because the order of the factors on either side of the equal sign is not the same.
Option 2: 3(b ^ 10 + 4) = 3(4 + b ^ 10) * 3
This equation also does not follow the Commutative Property because the order of the factors in the expression within the parentheses changes on the right side of the equation.
Option 3: 11(b + z) = 11b + 11z
This equation does not involve multiplication, so it is not an example of the Commutative Property of Multiplication.
Option 4: z ^ 11 * 2 = z ^ 11 + 2
This equation correctly demonstrates the Commutative Property of Multiplication. The factors z^11 and 2 are multiplied together, and the order of the factors is reversed. In this case, reversing the order of the factors does not change the result.
Therefore, the correct option that demonstrates the use of the Commutative Property of Multiplication is Option 4: z ^ 11 * 2 = z ^ 11 + 2.