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: 3хy

Answer 1

To prove that the expressions \( y * 3x \) and \( 3xy \) are equivalent using the Commutative Property, we can rearrange the factors in the first expression: \( y * 3x = 3x * y \), which shows that both expressions contain the same factors and therefore are equal.

In simpler terms, this means that no matter how you order the numbers in multiplication, you will get the same answer!