Question

Which expressions correctly demonstrate the Commutative Property?(1 point)
Responses

3x⋅9y⋅6=162xy
3 x times 9 y times 6 equals 162 x y

3x⋅9y⋅6=9y+6+3x
3 x times 9 y times 6 equals 9 y plus 6 plus 3 x

3x⋅9y⋅6=9y⋅6⋅3x
3 x times 9 y times 6 equals 9 y times 6 times 3 x

3x(9y+6)=(3x+9y)⋅6

Answer 1

The Commutative Property states that the order in which two numbers are multiplied does not affect the product. This property applies to multiplication and addition.

Looking at the provided expressions:

1. **3x⋅9y⋅6=162xy** - This is a multiplication scenario, and the left side can indeed be simplified to equal the right side. This expression can be rearranged using the commutative property.

2. **3x⋅9y⋅6=9y+6+3x** - This expression incorrectly combines multiplication and addition, so it does not demonstrate the commutative property.

3. **3x⋅9y⋅6=9y⋅6⋅3x** - This expression correctly demonstrates the commutative property of multiplication. You can rearrange the factors without changing the product.

4. **3x(9y+6)=(3x+9y)⋅6** - This expression does not reflect the commutative property; rather, it illustrates the distributive property.

So, the correct expressions that demonstrate the Commutative Property are:

- **3x⋅9y⋅6=9y⋅6⋅3x**