Question

Which expressions correctly demonstrate the Commutative
Property? (1 point)
3x 9y + 6) = (3x + 9y) - 6
3х • 9y • 6 = 9y • 6 • 3x
3х • 9y • 6 = 9y + 6 + 3x

Answer 1

The Commutative Property states that the order in which two numbers are added or multiplied does not affect the sum or product. Here's an analysis of the provided expressions:

1. **(3x * 9y + 6) = (3x + 9y) - 6**: This expression does not demonstrate the Commutative Property because it involves subtraction and reordering of terms incorrectly.

2. **3x • 9y • 6 = 9y • 6 • 3x**: This expression correctly demonstrates the Commutative Property for multiplication. You can rearrange the order of multiplication.

3. **3x • 9y • 6 = 9y + 6 + 3x**: This expression does not demonstrate the Commutative Property. It incorrectly mixes multiplication and addition.

Therefore, the correct expression that demonstrates the Commutative Property is:
- **3x • 9y • 6 = 9y • 6 • 3x**.