Question

which of the following shows an equivalent expression to [(5x3)x12] if only the associative property is used to transform the expression?

Answer 1

5x(3x12) because in the associative property of multiplication you can move the parentheses without effecting the product

Answer 2

by using the associative property [(5*3)*12] = [5*(3*12)] .

Explanation:

Given : [(5x3)x12]

To find : which of the following shows an equivalent expression to [(5x3)x12] if only the associative property is used to transform the expression.

Solution : We have given that [(5x3)x12]

Let x , y and z be the three real numbers .

x × (y × z ) = (x × y) × z

This is called the associative property .

As given the expression be as follow

= [(5*3)*12]

Here

x = 5 , y = 3 , z = 12

By using the associative property

[(5*3)*12] = [5*(3*12)]

Therefore, by using the associative property [(5*3)*12] = [5*(3*12)] .