use and associative law to find and equivalent expression.
10*(z*y)

Question

use and associative law to find and equivalent expression.
10*(z*y)

mathstudent55 · Answer

The associative law states that you can change the grouping when multiplying. That means that, for example, 2 * (3 * 4) in which you do what's in parentheses first, and is equal to 2 * 12 = 24 is the same as if you had changed the grouping and did (2 * 3) * 4 = 6 x 4 = 24. As you can see, changing the grouping does not change the result.

In your case, you have 10*(z*y). By changing the grouping you can get (10*z)*y. Since the order of operations for multiplication is to do the multiplications in the order they appear from left to right, then 10*(z*y) is simply equal to 10zy.