Using the Commutative Property, fill in the blank so that the two algebraic expressions are equivalent.(1 point)
(14)( )(2)=(7)(2)(14)
Using the Commutative Property, we can rearrange the order of multiplication without changing the value. Therefore, we can fill in the blank with "7". So, the equation becomes:
(14)(7)(2)=(7)(2)(14)
To use the Commutative Property, we can rearrange the factors in any order without changing the result. In this case, we want to fill in the blank so that the expression on the left side becomes equivalent to the expression on the right side.
Looking at the expressions, we notice that "7" and "14" are the same numbers, so we can substitute "7" into the blank space:
(14)(7)(2) = (7)(2)(14)
Now, let's simplify both sides of the equation:
Left side: (14)(7)(2) = 196
Right side: (7)(2)(14) = 196
Since both sides of the equation simplify to the same value (196), we can say that the two algebraic expressions are equivalent.