Using the Commutative Property, prove that these algebraic expressions are equivalent. In 1-sentence in a 5 th graders response explain your result.

Question

Expression 1: y * 3х
Expression 2: 3XY

Answer 1

To show that the expressions \(y \cdot 3x\) and \(3xy\) are equivalent using the Commutative Property, we can rearrange the first expression: \(y \cdot 3x = 3 \cdot y \cdot x = 3xy\), which is the same as Expression 2.

So, we can say: "Both expressions mean the same thing because we can change the order of the numbers and letters without changing the answer."