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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

1 answer

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.